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Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory

Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory
Author: Odile Pons
Publisher: World Scientific
Total Pages: 304
Release: 2013-10-04
Genre: Mathematics
ISBN: 9814531766

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An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals.


Asymptotic Efficiency of Nonparametric Tests

Asymptotic Efficiency of Nonparametric Tests
Author: I︠A︡kov I︠U︡rʹevich Nikitin
Publisher: Cambridge University Press
Total Pages: 294
Release: 1995-06-30
Genre: Mathematics
ISBN: 0521470293

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Making a substantiated choice of the most efficient statistical test is one of the basic problems of statistics. Asymptotic efficiency is an indispensable technique for comparing and ordering statistical tests in large samples. It is especially useful in nonparametric statistics where it is usually necessary to rely on heuristic tests. This monograph presents a unified treatment of the analysis and calculation of the asymptotic efficiencies of nonparametric tests. Powerful new methods are developed to evaluate explicitly different kinds of efficiencies. Of particular interest is the description of domains of the Bahadur local optimality and related characterisation problems based on recent research by the author. Other Russian results are also published here for the first time in English. Researchers, professionals and students in statistics will find this book invaluable.


Asymptotic Theory of Testing Statistical Hypotheses

Asymptotic Theory of Testing Statistical Hypotheses
Author: Vladimir E. Bening
Publisher: VSP
Total Pages: 312
Release: 2000-01-01
Genre: Mathematics
ISBN: 9789067643238

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The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.


Nonparametric Statistics

Nonparametric Statistics
Author: Gregory W. Corder
Publisher: John Wiley & Sons
Total Pages: 288
Release: 2014-04-14
Genre: Mathematics
ISBN: 1118840429

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“...a very useful resource for courses in nonparametric statistics in which the emphasis is on applications rather than on theory. It also deserves a place in libraries of all institutions where introductory statistics courses are taught." –CHOICE This Second Edition presents a practical and understandable approach that enhances and expands the statistical toolset for readers. This book includes: New coverage of the sign test and the Kolmogorov-Smirnov two-sample test in an effort to offer a logical and natural progression to statistical power SPSS® (Version 21) software and updated screen captures to demonstrate how to perform and recognize the steps in the various procedures Data sets and odd-numbered solutions provided in an appendix, and tables of critical values Supplementary material to aid in reader comprehension, which includes: narrated videos and screen animations with step-by-step instructions on how to follow the tests using SPSS; online decision trees to help users determine the needed type of statistical test; and additional solutions not found within the book.


Nonparametric Tests for Complete Data

Nonparametric Tests for Complete Data
Author: Vilijandas Bagdonavicius
Publisher: John Wiley & Sons
Total Pages: 191
Release: 2013-02-04
Genre: Mathematics
ISBN: 1118601823

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This book concerns testing hypotheses in non-parametric models. Classical non-parametric tests (goodness-of-fit, homogeneity, randomness, independence) of complete data are considered. Most of the test results are proved and real applications are illustrated using examples. Theories and exercises are provided. The incorrect use of many tests applying most statistical software is highlighted and discussed.


Asymptotic Theory of Statistical Tests and Estimation

Asymptotic Theory of Statistical Tests and Estimation
Author: Indra Mohan Chakravarti
Publisher:
Total Pages: 378
Release: 1980
Genre: Mathematics
ISBN:

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Some memorable incidentes in probabilistic/statistica studies; Large deviation, tests, and estimates; Applications of characteristic function in solving some distribution problems; A chernoff-savage theorem for correlation ranl statistics with applications to sequential testing; Wiener - levy models, spherically exchangeable time series, and simultaneous inference in growth curve analysis; A note to the chung - erdors - sirao theorem; Asymptotic separation of distribution and convergence properties of tests and estimators; Density estimation: are theoretical results useful in practice? Stability theorems for characterizations of the normal and of the degenerate distribution; Estimation of the support contour-line of a probability law: limit law; Some estimation problems for the compound poisson distribution; A decomposition of infinite order and extreme multivariate distributions; Correction terms for multinomial large deviations; On a theorem of hoeffding; Sequential minimum probability ratio tests.


Nonparametric Statistics: Theory And Methods

Nonparametric Statistics: Theory And Methods
Author: Jayant V Deshpande
Publisher: World Scientific
Total Pages: 279
Release: 2017-10-17
Genre: Mathematics
ISBN: 981466359X

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The number of books on Nonparametric Methodology is quite small as compared to, say, on Design of Experiments, Regression Analysis, Multivariate Analysis, etc. Because of being perceived as less effective, nonparametric methods are still the second choice. Actually, it has been demonstrated time and again that they are useful. We feel that there is still need for proper texts/applications/reference books on Nonparametric Methodology.This book will introduce various types of data encountered in practice and suggest the appropriate nonparametric methods, discuss their properties through null and non-null distributions whenever possible and demonstrate the very minor loss in power and efficiency in the nonparametric method, if any.The book will cover almost all topics of current interest such as bootstrapping, ranked set sampling, techniques for censored data and Bayesian analysis under nonparametric set ups.


Nonparametric Inference

Nonparametric Inference
Author: Z. Govindarajulu
Publisher: World Scientific
Total Pages: 692
Release: 2007
Genre: Mathematics
ISBN: 981270034X

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This book provides a solid foundation on nonparametric inference for students taking a graduate course in nonparametric statistics and serves as an easily accessible source for researchers in the area.With the exception of some sections requiring familiarity with measure theory, readers with an advanced calculus background will be comfortable with the material.