In statistics , the term nonparametricstatistics has at least two different meanings We need to use ... statistics . It includes nonparametric statistical model s, statistical inference inference and statistical hypothesis testing statistical tests . nonparametricstatistics in the sense of a statistic ... of such statistics and these play a central role in many nonparametric approaches. li li The second meaning of nonparametric covers techniques that do not assume that the structure of a model is fixed ... on fewer assumptions, nonparametric methods are more Robust statistics Introduction robust . Another justification for the use of nonparametric methods is simplicity. In certain cases, even when the use of parametric methods is justified, nonparametric methods may be easier to use. Due both to this simplicity and to their greater robustness, nonparametric methods are seen by some ... and increased Robust statistics robustness of nonparametric tests comes at a cost in cases where a parametric test would be appropriate, nonparametric tests have less statistical power power . In other .... Nonparametric models Nonparametric models differ from parametricstatisticsparametric models ... 269 5 Category Nonparametricstatistics Category Statistical inference Category Robust statistics de ... meaning of nonparametric covers techniques that do not rely on data belonging to any particular ... others nonparametric regression nonparametric regression , which refers to modeling where the structure ... be parametric assumptions about the distribution of model residuals. nonparametric hierarchical ... a parametric distribution. li ol Applications and purpose Nonparametric methods are widely used for studying ... . The use of nonparametric methods may be necessary when data have a ranking but no clear numerical ... , nonparametric methods result in ordinal data. As nonparametric methods make fewer assumptions ... nonparametric is not meant to imply that such models completely lack parameters but that the number ... more details
normal distribution. A Nonparametricstatisticsnonparametric estimate of the same thing is the maximum ...Parametricstatistics is a branch of statistics that assumes that the data has come from a type of probability ... power . However, if those assumptions are incorrect, parametric methods can be very misleading. For that reason they are often not considered Robust statistics robust . On the other hand, parametric ..., their simplicity makes up for their Robust statisticsnon robustness , especially if care is taken to examine diagnostic statistics. ref name Freedman David Freedman, cite Statistical Models Theory and Practice cite , Cambridge University Press 2000 , ISBN 978 0 521 67105 7 ref Because parametricstatistics require a probability distribution , they are not Nonparametricstatistics distribution .... . .as the parametric case, and denote the opposite case, where the functional forms of the distributions are unknown, as the nonparametric case. ref name Wolfowitz J. Wolfowitz, cite Annals of Mathematical Statistics cite XIII, p. 264 1942 ref See also Parametric equation Parametric model References reflist colwidth 30em DEFAULTSORT ParametricStatistics Category Parametricstatistics Category ... and Johnson Seymour Geisser and Wesley M. Johnson, cite Modes of Parametric Statistical Inference ... methods are parametric. ref name Cox D. R. Cox, cite Principles of Statistical Inference cite , Cambridge University Press 2006 , ISBN 978 0 521 68567 2 ref Generally speaking parametric methods make more assumptions than Nonparametricstatisticsnonparametric methods . ref name Corder and Foreman Corder and Foreman, cite Nonparametric Statistics for Non Statisticians A Step by Step Approach cite , John Wiley & Sons 2009 , ISBN 978 0 470 45461 9 ref If those extra assumptions are correct, parametric ... know the probability of any future observation. Parametric statistical methods are used to compute ... it. History Statistician Jacob Wolfowitz coined the statistical term parametric in order to define ... more details
In statistics , a parametric model or parametric family or finite dimensional model is a family of probability distribution distribution s that can be described using a finite number of parameter s. These parameters ... 1 sub , sub 2 sub , , sub k sub . Parametric models are contrasted with the semiparametric model semi parametric , semi nonparametric model semi nonparametric , and nonparametric model s, all of which ... parametric , nonparametric , and semi parametric are ambiguous. ref harvnb LeCam 2000 , ch.7.4 ... classes is as follows Citation needed date October 2010 in a parametric model all the parameters are in finite ... dimensional parameter spaces a semi parametric model contains finite dimensional parameters of interest ... only smooth parametric models. Definition A parametric model is a collection of probability distribution ... density function s math mathcal P big f theta big theta in Theta big . math The parametric ... in the interval 2, . ul Regular parametric model Let be a fixed finite measure on a probability ... P theta , theta in Theta subseteq mathcal M mu math a regular parametric model if the following requirements ... d mu math is invertible matrix non singular . ol Properties ul li Sufficient conditions for regularity of a parametric model in terms of ordinary differentiability of the density function sub sub ... math is nonsingular and continuous in . ol If conditions i iii hold then the parametric model is regular. li Local asymptotic normality . li If the regular parametric model is identifiable then there exists ... . ref harvnb Bickel 1998 , Theorems 2.5.1, 2.5.2 ref ul See also Statistical model Parametric ..., Kjell A. title Mathematical Statistics Basic and Selected Topics, Volume 1. volume edition ... Cam, Lucien coauthors Lo Yang, Grace title Asymptotics in statistics some basic concepts year 2000 ... cite book title Parametric Statistical Theory last1 Pfanzagl first1 Johann authorlink Johann Pfanzagl ... 8 MR 1291393 refend DEFAULTSORT Parametric Model Category Statistical theory Category Statistical ... more details
This is a list of tennis records, statistics and milestones other than Grand Slam tennis Grand Slam tournaments. This includes the Olympics, Davis Cup, secondary events on the ATP and WTA tours, and earlier ITLF tournaments. For records of the grand slam tournaments please see List of Grand Slam related tennis records . Most titles at a particular tournament The following are List of tennis players tennis players who have won a particular tournament at least five times. This chart contains slam winners also for easy comparisons. Men class sortable wikitable Wins Player Tournament Years 11 flagicon FRA Jean Borotra British Covered Court Championships 1926, 1928, 1929, 1930, 1931, 1932, 1933, 1935, 1938, 1948, 1949 rowspan 6 8 flagicon FRA Max Decugis French Open French Championship 1903, 1904, 1907, 1908, 1909, 1912, 1913, 1914 flagicon USA Pancho Gonzales U.S. Pro Tennis Championships 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1961 flagicon ESP Rafael Nadal Monte Carlo Masters 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 flagicon IRL James Cecil Parke Irish Open tennis Irish Championship 1904, 1905, 1908, 1909, 1910, 1911, 1912, 1913 flagicon AUS Ken Rosewall French Pro Championship 1958, 1960, 1961, 1962, 1963, 1964, 1965, 1966 flagicon ARG Guillermo Vilas ATP Buenos Aires Buenos Aires 1973, 1974, 1975, 1976, 1977, 1977 2 , 1979, 1982 rowspan 10 7 flagicon German Empire flagicon ... Djokovic career statistics 43 Win Streak 2010.E2.80.9311 43 2010 2011 Novak Djokovic tennis season 11 9 flagicon USA John McEnroe 42 1984 10 flagicon SUI Roger Federer Roger Federer career statistics ... Evert Cup in Indian Wells became the second non seeded player to win a Tier I event At the 1999 ... players statistics World number one male tennis player rankings World number one women tennis players ... Finals WCT Finals WCT Championship Finals Tennis records and statistics Category History of tennis Category Tennis records and statistics ... more details
known as transinsurance rather than pure form parametric insurance. Transurance Transurance is an innovation at non catastrophic levels akin to parametric insurance at catastrophic level according ...Parametric insurance is a type of insurance that does not indemnify the pure loss, but Ex ante vs. ex post ex ante agrees to make a payment upon the occurrence of a triggering event. The triggering event is often a Natural disaster catastrophic natural event which may ordinarily precipitate a loss or a series of losses. But parametric insurance principles are also applied to Agricultural crop insurance and other normal risks not of the nature of disaster, if the outcome of the risk is correlated to a parameter or an index of parameters. Transaction cost Parametric insurance may reduce transaction costs involved in writing and administering insurance policies because there is less need for actual loss assessment for payment of claims or underwriting rating requirements to determine the premium based on liabilities and extent of risk sharing. Application Parametric insurance is ideal for low frequency but high intensity losses as in catastophic perils, weather related risks in agriculture or other economic activities, and risks sought to be covered without sufficient history of losses captured ... covers hurricane risks based on category parameters and the World Bank designs earthquake parametric ... Academy in India propounded the concept of parametric life insurance premium setting based .... Another application of parametric insurance propounded by K C Mishra of National Insurance Academy ... or mainlands. If there is a parametric hazard in the mainland, the island dwellers suffer from supply ... continuity. Parametric Insurance and Transurance are complementary. Transurance usage is likely to step ... and annuity insurance. External link source http thismatter.com money insurance types parametric ... DEFAULTSORT Parametric Insurance Category Types of insurance ... more details
Citation style date September 2009 The parametric array is a nonlinear transducer transduction mechanism ... Preface1 ref Parametric arrays can be formed in water, ref name nonlinear underwater acoustics ... books nonuw.html ref air, ref http dx.doi.org 10.1121 1.384959 Experimental study of a saturated parametric ... parabeam.html Parametric Beam Formation in Rock ref History Priority for discovery and explanation of the parametric array owes to Peter Westervelt Peter J. Westervelt , ref http scitation.aip.org ... Peter Westervelt and the parametric array ref winner of the Lord Rayleigh Medal ref http www.ioa.org.uk ... 554 and Albers 17 , the concept for the parametric array occurred to Dr. Westervelt while he was stationed ... by Captain H.J. Round British pioneer of the superheterodyne receiver via the parametric array mechanism. The phenomenon of the parametric array,seen first experimentally by Westervelt in the 1950s ... in the medium. This formalism has been applied not only to parametric arrays 15 , but also to other ... and include underwater sound sonar depth sounding sub bottom profiling non destructive testing and see ... for invention. ref Parametric receiving arrays can also be formed for directional reception. ref ... Lemelson MIT Prize MIT Lemelson Prize for his application of the parametric array to commercial ... 2 , 179 186. 2 Peter J. Westervelt, Parametric Acoustic Array , Journal of the Acoustical Society of America, Vol. 35, No. 4 535 537 , 1963 4 Mark B. Moffett and Robert H. Mellen, Model for Parametric Sources , J. Acoust. Soc. Am. Vol. 61, No. 2, Feb. 1977 5 Mark B. Moffett and Robert H. Mellen, On Parametric ... and Junru Wu, An Experimental Investigation of the Interaction of Two Non Collinear Beams of Sound , Proceedings ...., Stroudsburg, PA 1972 18 M. Cabot and Seth Putterman, Renormalized Classical Non linear Hydrodynamics ... Imaging Computed Tomography by Parametric Acoustic Array Y. Nakagawa M. Nakagawa M. Yoneyama M. Kikuchi IEEE 1984 Ultrasonics Symposium Volume , Issue , 1984 Page s 673 676 DEFAULTSORT Parametric Array ... more details
is called parametric excitation , parametric resonance or parametric pumping . However, if the initial amplitude is zero, it will remain so this distinguishes it from the nonparametric resonance ...A parametric oscillator is a harmonic oscillator whose parameters oscillate in time. For example, a well known parametric oscillator is a child pumping a swing by periodically standing and squatting to increase ... 27 November 2011 Note In real life playgrounds, swings are predominantly driven, not parametric ... math beta math . Parametric oscillators are used in many applications. The classical varactor parametric ... electromagnetism waveguide Yttrium aluminum garnet YAG based parametric oscillators operate in the same fashion. The designer varies a parameter periodically in order to induce oscillations. Parametric ... parametric oscillator converts an input laser wave into two output waves of lower frequency math omega s, omega i math . Parametric resonance occurs in a mechanical system when a system is parametrically excited and oscillates at one of its resonant frequencies. Parametric excitation differs ... London , vol. 121, pages 299 318. ref Melde 1859 generated parametric oscillations in a string by employing ... Parametric oscillation was first treated as a general phenomenon by John Strutt, 3rd Baron Rayleigh ... ref Parametric amplifiers paramps were first used in 1913 1915 for radio telephony from Berlin ... and optical parametric oscillator optical methods . The mathematics math frac d 2 x dt 2 beta t frac ... of the oscillator defined below , the oscillator phase locks to the parametric variation and absorbs ... state. A familiar experience of both parametric and driven oscillation is playing on a swing ... pumping function math f t math . The converse conclusion is that any form of parametric excitation ... stackrel mathrm def alpha mathrm max cos 2 theta mathrm eq math . In other words, the parametric ... growing math q math is approximately math omega n f 0 math . Intuitive derivation of parametric ... more details
Orphan date February 2009 Unreferenced date August 2009 A parametric contract is a financial or investment contract . Citation needed date December 2009 DEFAULTSORT Parametric Contract Category Contract law law term stub ... more details
Multiple issues unreferenced April 2010 cleanup April 2010 confusing April 2010 orphan October 2010 Parametric Landscape Meanings from the particular to the general 1. A landscape designed taking into account parameter s, when these are understood and identified a priori as such, ie as variables that in different degrees configure the project, so that the variation of parameters necessarily alter the project. 2. Landscape designed with 3D parametric software such as Grasshopper plug in with Rhinoceros . 3. Natural landscape Environment resulting from the application of parametric methods or parametric based programs. This last definition is general and includes any product of parametric design. As such, it is similar to other terms such as financial landscape , which broadly and metaphorically refers to the set of existing financial tools and contexts. Parametric Landscape follows a trend that was previously inaugurated by the terms Parametric Architecture and Parametric Urbanism , as can be seen in the 2006 Architectural Association brief by Patrik Schumacher SWARM URBANISM see below . http www.aaschool.ac.uk aadrl ABOUT DOWNLOADS parametric urbanism briefs parametric urbanism briefs.pdf Parametric Urbanism takes the paradigm and tools of parametric design into the domain of urbanism. The power of parametrics is usually exploited to cope with the rapid succession of design changes, i.e. for its ability to produce variations of a single building , or to generate versions of building components for a complex building geometry that does not allow for the repetition of elements. Parametric Urbanism suggests that these techniques of versioning can be applied to an array of buildings, so that a new version does not replace an older version but instead comes to join and extend the field of simultaneous versions in building up a complex urban field. While the concept of landscape ... aspects of planning and design , the history of the parametric as an autonomous discipline is much ... more details
In programming language s and type theory , parametric polymorphism is a way to make a language more expressive, while still maintaining full static type safety . Using parametric polymorphism computer science polymorphism , a function or a data type can be written generically so that it can handle values identically without depending on their type. ref name bjpierce Pierce, B. C. 2002 Types and Programming Languages. MIT Press. ref Such functions and data types are called generic functions and generic datatypes respectively and form the basis of generic programming . For example, a function code append code that joins two lists can be constructed so that it does not care about the type of elements it can append lists of integers, lists of real numbers, lists of strings, and so on. Let the type variable a denote the type of elements in the lists. Then code append code can be typed a a a , where a denotes the type of lists with elements of type a . We say that the type of code append code is parameterized by a for all values of a . Note that since there is only one type variable, the function cannot be applied to just any pair of lists the pair, as well as the result ..., a value is decided for a . Following Christopher Strachey , parametric polymorphism may be contrasted ... type. History Parametric polymorphism was first introduced to programming languages in ML programming ... have each recently introduced generics for parametric polymorphism. Some implementations of type polymorphism are superficially similar to parametric polymorphism while also introducing ad hoc aspects ... restrictions . This restriction makes the distinction between polymorphic and non polymorphic ... Predicative polymorphism In a predicative parametric polymorphic system, a type math tau math ... Theory Martin L f Type Theory and NuPRL . Bounded parametric polymorphism main Bounded quantification ... oriented programming languages that support parametric polymorphism, parameters can be constrained to be subtype ... more details
Unreferenced date August 2009 In logic and mathematics , a parametric operator math Omega math with parameter math alpha math in the parametric set math Alpha math is an indexed family of operators math Omega alpha Alpha Omega alpha alpha in Alpha math with index math alpha math in the index set math Alpha math . See also Operation mathematics Operation Operator mathematics Operator Multigrade operator DEFAULTSORT Parametric Operator Category Logic Category Mathematical notation Category Functions and mappings logic stub bs Parametarski operator ... more details
Image Butterfly trans01.svg thumb 300px right One example of a sketch defined by parametric equations is the butterfly curve transcendental butterfly curve . In mathematics , parametric equation is a method ... information about a body in motion. Abstractly, a parametric equation defines a relation as a set of equation s. Therefore, it is somewhat more accurately defined as a parametric representation . It is part of regular parametric representation . 2D examples Parabola For example, the simplest equation .... , math With the Cartesian equation it is easier to check whether a point lies on the circle or not. With the parametric version it is easier to obtain points on a plot. 3D examples Helix Image Parametric Helix.png thumb 300px right Parametric helix Parametric equations are convenient for describing ... t , a sin t , b t . , math Parametric surfaces A Torus with major radius R and minor radius r may ... t , a sin t , 0 , math In general, a parametric curve is a function of one independent parameter usually denoted t . For the corresponding concept with two or more independent parameters, see Parametric surface . Another important use of parametric equations is in the field of computer aided ... Circle 3. Parametric style white space nowrap math x frac x t w t math math y frac y t w t math math ... not actually lie on the curve. These problems are eliminated by rewriting the equations in parametric form. ref cite book last Shah first Jami J. coauthors Martti Mantyla year 1995 title Parametric and feature ... New York, NY isbn 0471002143 pages 29 31 ref Conversion from two parametric equations to a single equation Converting a set of parametric equations to a single equation involves eliminating the variable ... cases there is no single equation in closed form that is equivalent to the parametric equations. ref ... and Parametric form conversion for more information on converting from a series of parametric equations to single function. ref To take the example of the circle of radius a Examples above , the parametric ... more details
unreferenced date January 2010 Parametric Stereo is a feature and an Audio Object Type defined and used in MPEG 4 Part 3 MPEG 4 Audio to further enhance efficiency in low bandwidth stereo media. Advanced Audio Coding Low Complexity AAC LC combined with Spectral band replication SBR and Parametric Stereo PS was defined as HE AAC v2 . An HE AAC v1 decoder will only give mono sound when decoding an HE AAC v2 bitstream. Parametric Stereo performs sparse coding in the spatial domain, somewhat similar to what SBR does in the frequency domain. An AAC HE v2 bitstream is obtained by downmixing the stereo audio to mono at the encoder along with 2 3 kbit s of side info the Parametric Stereo information in order to describe the spatial intensity stereo generation and ambience regeneration at the decoder. By having the Parametric Stereo side info along with the mono audio stream, the decoder player can regenerate a faithful spatial approximation of the original stereo panorama at very low bitrates. Because only one audio channel is transmitted, along with the parametric side info, a 24 kbit s coded audio signal with Parametric Stereo will be substantially improved in quality, compared to a discretely stereo coded audio signal coded with conventional means. Thus, the additional bitrate spent on the single mono channel combined with some PS side info will improve the perceived quality substantially of the audio compared to a standard stereo stream at similar bitrate. However, this technique is only useful at the lowest bitrates say 16 32 kbit s, sweet spot at 24 kbit s to give a good stereo impression, so while it can improve perceived quality at very low bitrates, it generally does not achieve Transparency data compression transparency , since simulating the stereo dynamics of the audio with the technique is limited and generally deteriorates perceived quality regardless of the bitrate. See also MPEG 4 Part 3 External links http www.codingtechnologies.com products paraSter.htm Parametric ... more details
Orphan date December 2010 Parametric animation is an animation technique used in computer software , such as in computer games, that blends two or more separate animations together to form a new animation. This new animation is constructed in real time by the game engine, and is not stored in a separate file like a regular animation. The technique was first used in an early build of the Half Life video game Half Life mod computer gaming mod , Team Fortress 2 , and it not only heavily reduces artist workload during game development, it provides for much smoother animation as well. Example of use In the early days of video game development, animators were required to create entirely new animations to reflect multiple actions performed by the player. For example, an animator might be required to create animation for shooting, reloading, and jumping. If the player was to jump while shooting, the artist would have one of two choices Allow the game to display the animation with greater priority &mdash in this case, shooting Create a separate animation which depicted simultaneous jumping and shooting As development continued, the artist would be forced to create an oversized plethora of animations running while shooting, running backwards while shooting, running left or right while shooting, running while reloading, and so on. With Parametric Animation, an animator might for sake of simplicity only be required to create the three base animations from which the remaining 25 animations would be constructed. How parametric animation works Empty section date January 2007 References Reflist External links http uk.videogames.games.yahoo.com pc previews team fortress 2 brotherhood of arms d88b8f.html Gamespot Interview with Robin Walker DEFAULTSORT Parametric Animation Category Computer animation compu graphics stub ... more details
Citations missing date June 2009 In mathematics and its applications, a parametric family or a parameterized family is a indexed family family of objects whose definitions depend on a set of parameter s. Common examples are parametrized families of Function mathematics functions , probability distribution s, curve s, shape s, etc.. See also Indexed family References reflist Category Mathematical terminology Category Statistical terminology math stub sl Parametri na dru ina ... more details
Unreferenced date August 2009 Parametric derivative is a derivative in calculus that is taken when both the x and y variables traditionally independent variable independent and dependent variable dependent , respectively depend on an independent third variable t , usually thought of as time . Example For example, consider the set of function mathematics function s where math x t 4t 2 , math and math y t 3t. , math The first derivative of the parametric equation s above is given by math frac frac dy dt frac dx dt frac dot y t dot x t , math where the notation math dot x t math denotes the derivative of x with respect to t , for example. To understand why the derivative appears in this way, recall the chain rule for derivatives math frac dy dx frac dy dt cdot frac dt dx , math or in other words math frac dy dx frac frac dy dt frac dx dt . math More formally, by the chain rule math frac dy dt frac dy dx cdot frac dx dt math and dividing both sides by math frac dx dt math gets the equation above. Differentiating both functions with respect to t leads to math frac dx dt 8t math and math frac dy dt 3, math respectively. Substituting these into the formula for the parametric derivative, we obtain math frac dy dx frac dot y dot x frac 3 8t , math where math dot x math and math dot y math are understood to be functions of t . The second derivative of a parametric equation is given by math frac d 2y dx 2 math math frac d dx left frac dy dx right math math frac d dt left frac dy dx right cdot frac dt dx math math frac d dt left frac dot y dot x right frac 1 dot x math math frac dot x ddot y dot y ddot x dot x 3 math by making use of the quotient rule for derivatives. The latter result is useful in the computation of curvature . See also Derivative generalizations Parametric equation DEFAULTSORT Parametric Derivative Category Differential calculus eo Parametra deriva o ... more details
Primary sources date July 2009 Marxism Parametric determinism refers to a Marxist interpretation of the course of history formulated by Prof. Ernest Mandel , and it could be viewed as one variant of Karl Marx s historical materialism or as a philosophy of history . ref Ernest Mandel, Die Dialektik von ... parametric determinism it permits the adherent of historical materialism to understand the real ... fortuitous or arbitrary ones that is why we use the expression parametric determinism indicating ... and random. But in dialectical determinism, human action may be non arbitrary and determinate ... to be non arbitrary and reasonable under the circumstances, if the total context is considered ... as a total picture, in a non arbitrary way. Different logical levels means that particular determinants ... ones, they could just be non arbitrary choices influenced by emotions and desires . Sentient ... in great historical battles to cast themselves in an especially positive light . There is no non ... on what people do. Perceptions and illusions According to the theory of parametric determinism ... non arbitrary and practical, it has a certain logic to it even if people are not yet fully aware ... and non rational aspects of human behaviour. In such situations, people with very unreasonable ... The concept of parametric determinism has as its corollary the concept of historical latency . It is not just ... Mandel believed that his theory of parametric determinism in history is a dialectics dialectical one ... choices. If people experienced no real freedom at all, they would be unlikely to believe in parametric ... whatever they wanted at each moment, they would also reject a parametric determinism, because whatever ... . Quotation Quotation Marxism tries to explain how non material production including the production ... 20Unintended.htm ref whether the theory of parametric determinism in history is faulty whether ... choices and Decision making decisions within given parameters, i.e. in a non arbitrary non chaotic ... more details
A parametric surface is a surface in the Euclidean space R sup 3 sup which is defined by a parametric equation with two parameters. Parametric representation is the most general way to specify a surface. Surfaces that occur in two of the main theorems of vector calculus , Stokes theorem and the divergence theorem , are frequently given in a parametric form. The curvature and arc length of curve s on the surface, surface area , differential geometric invariants such as the first fundamental form first and second fundamental form second fundamental forms, Gaussian curvature Gaussian , mean curvature mean , and principal curvature principal curvatures can all be computed from a given parametrization. Examples The simplest type of parametric surfaces is given by the graphs of functions of two variables math z f x,y , quad vec r x,y x, y, f x,y . math surface of revolution Surfaces of revolution give another important class of surfaces that can be easily parametrized. If the graph z f x , a &le x &le b is rotated about the z axis then the resulting surface has a parametrization math vec r u, phi u cos phi, u sin phi, f u , quad a leq u leq b, 0 leq phi 2 pi. math The straight circular cylinder geometry cylinder of radius R about x axis has the following parametric representation math vec r x, phi x, R cos phi, R sin phi . math Using the spherical coordinates , the unit sphere can be parameterized by math vec r theta, phi cos theta sin phi, sin theta sin phi, cos phi , quad 0 leq theta ... shape of a parametric surface can be analyzed by considering the Taylor expansion of the function that parametrizes ... integral integration . Notation Let the parametric surface be given by the equation math vec r vec ... vary within a certain domain D in the parametric uv plane. The first partial derivatives with respect ... r v math to the surface over the appropriate region D in the parametric uv plane math A D iint D left ... expansion of z as a function of x and y . For a general parametric surface, the definition is more ... more details
learning in most sciences. This has changed with use of statistics in non inferential contexts ...pp semi sock expiry 18 June 2012 small yes About the field of StatisticsStatistics is the study of the collection ... dict.asp?Word statistics The Free Online Dictionary ref It deals with all aspects of this, including ... have often gained this experience through working in any of a list of fields of application of statistics wide number of fields . There is also a discipline called mathematical statistics that studies statistics mathematically. The word statistics , when referring to the scientific discipline, is singular, as in Statistics is an art. ref cite web url http www.merriam webster.com dictionary statistics title Statistics work Merriam Webster Online Dictionary ref This should not be confused with the word ... Online Dictionary ref whose plural is statistics this statistic seems wrong or these statistics ... . Statistics used in standardized testing assessment are shown. The scales include standard ... in standard nines. TOC limit 3 Scope Some consider statistics to be a mathematical body ... of data , ref Moses, Lincoln E. 1986 Think and Explain with Statistics , Addison Wesley, ISBN 978 ... Lee, 1973 Statistics for the Social Sciences , Holt, Rinehart and Winston, p.xii, ISBN 978 0 03 077945 ... on applications, statistics is usually considered to be a distinct mathematical science rather than a branch of mathematics. ref cite book last Moore first David title Statistics for the Twenty First ... Washington, DC year 1992 pages 14 25 chapter Teaching Statistics as a Respectable Subject isbn 978 ... isbn 978 0 495 05064 3 url http www.rossmanchance.com iscam preface.pdf ref Much of statistics is non mathematical ensuring that data collection is undertaken in a way that allows valid conclusions ... comparisons of official statistics reporting of results and summarised data tables and graphs ... with the design of experiments and survey sampling . Statistics also provides tools for prediction ... more details
. In contrast a nonparametric process is a process in which any part of the quantum state of the system changes. ref name Boyd NLO See Section Parametric versus Nonparametric Processes, Nonlinear Optics ... Principle we know that E t , thus the lifetime of a parametric process is roughly t E, which is appreciably small for any non zero E. ref name Boyd NLO Parametric versus nonparametric processes ... Mie scattering Alternatively, nonparametric processes often involve loss or gain and give rise to Absorption ... vector perpendicular to the input is generated Sample nonparametric nonlinear processes Stimulated ...A parametric process is an optical process in which light interacts with matter in such a way as to leave ... a parametric process prohibits a change in the energy state of the system, parametric processes are considered ... with energy E, the atom s energy will increase by E E. Since we are assuming this is a parametric ... imaginary component of the refractive index of the medium. The effects of a parametric process will effect only n sub r sub , whereas a nonzero value of n sub i sub can only be caused by a nonparametric process. Thus in linear optics a parametric process will act as a lossless dielectric with the following ... polarization P responds nonlinearly to the electric field E of the light. As a parametric process is in general coherent, many parametric nonlinear processes will depend on Nonlinear optics ... parametric nonlinear processes Second harmonic generation SHG , or frequency doubling , generation ... between two other frequencies Optical parametric amplification OPA , amplification of a signal ... wave can be considered as DFG Optical parametric oscillation OPO , generation of a signal and idler wave using a parametric amplifier in a resonator with no signal input Optical parametric generation OPG , like parametric oscillation but without a resonator, using a very high gain instead Spontaneous parametric down conversion SPDC , the amplification of the vacuum fluctuations in the low gain ... more details
No footnotes date October 2010 Psychology sidebar Psychological statistics is the application of statistics to psychology . Some of the more common applications include psychometrics learning theory education learning theory perception developmental psychology human development abnormal psychology Personality test psychological tests Some of the more commonly used statistical tests in psychology are ParametricstatisticsParametric tests Student s t test analysis of variance ANOVA ANCOVA Analysis of Covariance MANOVA Multivariate Analysis of Variance regression analysis linear regression hierarchical linear modelling correlation Pearson product moment correlation coefficient Spearman s rank correlation coefficient NonparametricstatisticsNonparametric tests chi square Mann Whitney U References Cohen, B.H. 2007 Explaining Psychological Statistics, 3rd Edition , Wiley. ISBN 978 0 470 00718 1 Howell, D. 2009 Statistical Methods for Psychology, International Edition , Wadsworth. ISBN 0495597856 External links http www.celiagreen.com charlesmccreery.html Charles McCreery s tutorials on chi square, probability and Bayes theorem for Oxford University psychology students http psychologyaustralia.homestead.com index.htm Matthew Rockloff s tutorials on t tests, correlation and ANOVA Category Psychometrics Category Psychology experiments Category Psychology lists Category Fields of application of statisticsstatistics stub hu Pszichol giai statisztika sl Psiholo ka statistika ... more details
Non , non or NON can refer to wiktionarypar non French language French equivalent to English no word no Italian language Italian equivalent to English not Latin language Latin equivalent to either not or no . In French, when used at the end of a sentence, it is an interrogative which asks, do you agree? Old Norse language ISO 639 alpha 3 Non DC comics , a villain in the Superman universe Non book , a photobook by Japanese model Nozomi Sasaki Cape Non Saint Non , the mother of Saint David Non Boonjumnong , a Thai amateur boxer NON, a name used by musician Boyd Rice Naan , a Central Asian flatbread In the Star Control universe, the Mycon refer to living things, particularly Sentience sentient species, that have not submitted to Juffo Wup as Non disambig de NON fr Non ko it NON nl Non no Non sv Non ... more details
Infobox Magazine title non no br image file Non no November 5 2009.jpg image size 220px image caption editor editor title staff writer frequency Biweekly circulation 440,870 category Fashion company publisher Shueisha firstdate May 25, 1971 country JPN language Japanese website Pixxiey issn nihongo Non no non no is a Japanese fashion magazine published by Shueisha . Like CanCam , non no has a comparatively longer history than other Japan ese fashion magazines e.g. Cawaii , Olive Japanese magazine Olive and so forth. The magazine is targeted at teens and young women in their early 20s. On May 25, 1987 Shueisha launched the magazines male counterpart, Men s Non no . Exclusive models div style float left width 22 Current Arisa Satou Aya masa Cecil Kishimoto Emi Takahashi Sayaka Okada February 2012 Michi mori Mikiko Yano Mio Uema February 2012 Mirei Kiritani March 2012 Manami Teruya Moe Arai February 2012 Nozomi Sasaki model Nozomi Sasaki Tsubasa Honda Saori Watanabe Shiori Satou div div style float left width 22 Past Airi Tanaka Akiko Kikuchi Ayumi model Ayumi Azusa Takehana Ema Fujisawa Emi model Emi Etsuko Sugai Hana talento Hana Hana Matsushima Izumi Yamaguchi Keiko Kurihara Koyuki Lina Ohta Moeka Nozaki last shooting in May 2012 number Mew Azama div div style float left width 22 Miho Tanaka model Miho Tanaka graduated March 2012, last shooting in May 2012 number Miki model Miki Momoko Nagano Nishida Naomi Naoko Akatani last shooting in May 2012 number Noriko Amakasu Rena Takeshita Ry actress Ryo Sachiko Ogata Satsuki Katayama Shiho model Shiho Yasue Sato Yasuko Matsuyuki Yuko Gomiyo div br clear all External links http www.s woman.net non no non no s woman.net Official website fashion mag stub teen mag stub womens mag stub Japanese fashion magazines Category Japanese fashion magazines Category Japanese women s magazines Category Biweekly magazines Category Publications established in 1971 ja Non no zh non no ... more details
transformation, to make the data less noisy. Statistical comparison ParametricstatisticsParametric ...Statistical parametric mapping or SPM is a statistical technique created by Karl Friston for examining differences in brain activity recorded during functional neuroimaging experiments using neuroimaging technologies such as functional Magnetic Resonance Imaging fMRI or Positron Emission Tomography PET . It may also refer to a specific piece of software created by the Wellcome Department of Imaging Neuroscience part of University College London to carry out such analyses. The statistical parametric mapping approach Unit of measurement Functional neuroimaging, one type of brain scanning , involves the measurement of brain activity. The specific technique used to measure brain activity depends on the imaging technology being used see fMRI and Positron Emission Tomography PET for examples . Regardless of which technology is used, the scanner produces a map of the area being scanned that is represented as voxel s. Each voxel typically represents the activity of a particular coordinate in three dimensional space. The exact size of a voxel will vary depending on the technology used, although fMRI voxels typically represent a volume of 27 mm sup 3 sup a cube with 3mm length sides . Experimental design Researchers are often interested in examining brain activity linked to a specific psychological process or processes. An experimental approach to this problem might involve asking the question which areas of the brain are significantly more active when a person is doing task A compared to task B? . Although each task might be designed to be identical, except for the aspect of behaviour under investigation, the brain is still likely to show changes in activity between tasks due ... linked specifically to the process under investigation, statistics are used to look for the most ... expressed in terms of the model parameters are assessed at each voxel with univariate statistics ... more details
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