Asymptotic Efficiency Of Nonparametric Tests

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Asymptotic Efficiency of Nonparametric Tests

Author : I︠A︡kov I︠U︡rʹevich Nikitin
Publisher : Cambridge University Press
ISBN 13 : 0521470293
Total Pages : 294 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Asymptotic Efficiency of Nonparametric Tests by : I︠A︡kov I︠U︡rʹevich Nikitin

Download or read book Asymptotic Efficiency of Nonparametric Tests written by I︠A︡kov I︠U︡rʹevich Nikitin and published by Cambridge University Press. This book was released on 1995-06-30 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Efficiency of Nonparametric Tests

Author : Yakov Nikitin
Publisher : Cambridge University Press
ISBN 13 : 9780521115926
Total Pages : 0 pages
Book Rating : 4.1/5 (159 download)

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Book Synopsis Asymptotic Efficiency of Nonparametric Tests by : Yakov Nikitin

Download or read book Asymptotic Efficiency of Nonparametric Tests written by Yakov Nikitin and published by Cambridge University Press. This book was released on 2009-07-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 characterization 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.

Constancy of Distributions: Asymptotic Efficiency of Certain Nonparametric Tests of Constancy

Author : Alex J. Koning
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (67 download)

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Book Synopsis Constancy of Distributions: Asymptotic Efficiency of Certain Nonparametric Tests of Constancy by : Alex J. Koning

Download or read book Constancy of Distributions: Asymptotic Efficiency of Certain Nonparametric Tests of Constancy written by Alex J. Koning and published by . This book was released on 2002 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Inference

Author : Z. Govindarajulu
Publisher : World Scientific
ISBN 13 : 981270034X
Total Pages : 692 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Nonparametric Inference by : Z. Govindarajulu

Download or read book Nonparametric Inference written by Z. Govindarajulu and published by World Scientific. This book was released on 2007 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concepts of Nonparametric Theory

Author : J.W. Pratt
Publisher : Springer Science & Business Media
ISBN 13 : 1461259312
Total Pages : 476 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Concepts of Nonparametric Theory by : J.W. Pratt

Download or read book Concepts of Nonparametric Theory written by J.W. Pratt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores both non parametric and general statistical ideas by developing non parametric procedures in simple situations. The major goal is to give the reader a thorough intuitive understanding of the concepts underlying nonparametric procedures and a full appreciation of the properties and operating characteristics of those procedures covered. This book differs from most statistics books by including considerable philosophical and methodological discussion. Special attention is given to discussion of the strengths and weaknesses of various statistical methods and approaches. Difficulties that often arise in applying statistical theory to real data also receive substantial attention. The approach throughout is more conceptual than mathematical. The "Theorem-Proof" format is avoided; generally, properties are "shown," rather than "proved." In most cases the ideas behind the proof of an im portant result are discussed intuitively in the text and formal details are left as an exercise for the reader. We feel that the reader will learn more from working such things out than from checking step-by-step a complete presen tation of all details.

On the Asymptotic Efficiency of Certain Nonparametric Two-sample Tests

Author : Alexander McFarlane Mood
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (385 download)

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Book Synopsis On the Asymptotic Efficiency of Certain Nonparametric Two-sample Tests by : Alexander McFarlane Mood

Download or read book On the Asymptotic Efficiency of Certain Nonparametric Two-sample Tests written by Alexander McFarlane Mood and published by . This book was released on 1952 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the following asymptotic efficiencies are computed for the given two-sample tests against normal alternatives to the null hypothesis: rank test for location 3/pi, median test for location 2/pi, run test for location 0, run test for dispersion 0, and square rank test for dispersion 15/2 sq. pi. (Author).

Nonparametric Methods

Author : P. R. Krishnaiah
Publisher : Elsevier Health Sciences
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Nonparametric Methods by : P. R. Krishnaiah

Download or read book Nonparametric Methods written by P. R. Krishnaiah and published by Elsevier Health Sciences. This book was released on 1984 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical developments. Linear models. Order statistics and empitical distribution. Estimation procedures. Stochastic aproximation and density estimation. Life testing and reliability. Miscellaneous topics. Applications. Tables.

Nonparametric Methods in Statistics and Related Topics

Author : Madan Lal Puri
Publisher : Walter de Gruyter
ISBN 13 : 3110917815
Total Pages : 804 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Nonparametric Methods in Statistics and Related Topics by : Madan Lal Puri

Download or read book Nonparametric Methods in Statistics and Related Topics written by Madan Lal Puri and published by Walter de Gruyter. This book was released on 2013-02-06 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research. This book together with the other two volumes (Volume 2: Probability Theory and Extreme Value Theory; Volume 3: Time Series, Fuzzy Analysis and Miscellaneous Topics), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible. The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri's publications.

Asymptotic Normality and Efficiency of Certain Nonparametric Test Statistics

Author : Stanford University. Department of Statistics
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Asymptotic Normality and Efficiency of Certain Nonparametric Test Statistics by : Stanford University. Department of Statistics

Download or read book Asymptotic Normality and Efficiency of Certain Nonparametric Test Statistics written by Stanford University. Department of Statistics and published by . This book was released on 1957 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Theory of Some Nonparametric Tests

Author : Shashikala B. Sukhatme
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Asymptotic Theory of Some Nonparametric Tests by : Shashikala B. Sukhatme

Download or read book Asymptotic Theory of Some Nonparametric Tests written by Shashikala B. Sukhatme and published by . This book was released on 1960 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Nonparametric Statistics

Author : Edward B. Manoukian
Publisher : Taylor & Francis
ISBN 13 : 1351433164
Total Pages : 343 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Mathematical Nonparametric Statistics by : Edward B. Manoukian

Download or read book Mathematical Nonparametric Statistics written by Edward B. Manoukian and published by Taylor & Francis. This book was released on 2022-04-18 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1986. Primarily a reference text, Mathematical Nonparametric Statistics provides mathematicians and students with a systematic mathematical analysis and the fine points of nonparametrical statistical procedures and models used in practice. Divided into five sections and beginning with an extensive chapter on the fundamentals of mathematical statistical methods, its coverage of such topics as the Jackknife method, the Kolmogorov-Smirnov statistic, Box's method and the ch-squared test of fit is rigorous. Written for audiences with differing backgounds in mathematics, the book is of special use to those in the management sciences, industrial engineering, psychology and economics, as well as mathematics.

Distribution-free Statistical Tests

Author : James Vandiver Bradley
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Distribution-free Statistical Tests by : James Vandiver Bradley

Download or read book Distribution-free Statistical Tests written by James Vandiver Bradley and published by . This book was released on 1960 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Statistical Methods

Author : Myles Hollander
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonparametric Statistical Methods by : Myles Hollander

Download or read book Nonparametric Statistical Methods written by Myles Hollander and published by . This book was released on 1973 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dichotomous data problem. The one-sample location problem. Paired replicates analyses by way of signed ranks. Paired replicates analyses by way of signs. One-sample data. The two-sample location problem. The two-sample dispersion problem. Medians known or equal. Medians unknown and unequal. The one-way layout. The two-way layout. Analyses associated with friedman rank sums. Analyses associated with wilcoxon signed ranks. The independence problem. Regression problems involving slopes. One regression line. Two regression lines. Tests designed to detect broad alternatives.

Nonparametric Tests for Regression Models

Author : Shishirkumar Shreedhar Jogdeo
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Nonparametric Tests for Regression Models by : Shishirkumar Shreedhar Jogdeo

Download or read book Nonparametric Tests for Regression Models written by Shishirkumar Shreedhar Jogdeo and published by . This book was released on 1962 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Statistics

Author : A. W. van der Vaart
Publisher : Cambridge University Press
ISBN 13 : 9780521784504
Total Pages : 470 pages
Book Rating : 4.7/5 (845 download)

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Book Synopsis Asymptotic Statistics by : A. W. van der Vaart

Download or read book Asymptotic Statistics written by A. W. van der Vaart and published by Cambridge University Press. This book was released on 2000-06-19 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.

Asymptotic Efficiency of a Class of C-sample Tests

Author : Madan Lal Puri
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Asymptotic Efficiency of a Class of C-sample Tests by : Madan Lal Puri

Download or read book Asymptotic Efficiency of a Class of C-sample Tests written by Madan Lal Puri and published by . This book was released on 1962 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A c-sample problem is considered by examining the 2-sample problem and generalizing the results obtained by other authors. The resulting L-test for testing the equality of c continuous probaility distributions on the basis of c independent random samples is proposed. Under suitable regularity conditions and certain assumptions concerning the distribution function, the limiting distribution of L is derived. A number of well known tests are included; e.g. the KruskalWallis H-test, Terpestra's K-sample test, Fisher-Yates-Terry-Hoeffding normal score test, and Van der Waerden's 2-sample test. The asymptotic relative efficiencies in Pitman's sense are obtained and shown to be independent of the number of samples. (Author).

Asymptotic Statistics

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 3034892543
Total Pages : 121 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Asymptotic Statistics by : Manfred Denker

Download or read book Asymptotic Statistics written by Manfred Denker and published by Birkhäuser. This book was released on 2012-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures presented during the seminar on " Asymptotic Statistics" held at SchloB Reisensburg, Gunzburg, May 29-June 5, 1988. They consist of two parts, the theory of asymptotic expansions in statistics and probabilistic aspects of the asymptotic distribution theory in nonparametric statistics. Our intention is to provide a comprehensive presentation of these two subjects, leading from elementary facts to the advanced theory and recent results. Prospects for further research are also included. We would like to thank all participants for their stimulating discussions and their interest in the subjects, which made lecturing very pleasant. Special thanks are due H. Zimmer for her excellent typing. We would also like to take this opportunity to to express our thanks to the Gesellschaft fur mathematische Forschung and to the Deutsche Mathematiker Vereinigung, especially to Professor G. Fischer, for the opportunity to present these lectures and to the Birkhauser Verlag for the publication of these lecture notes. R. Bhattacharya, M. Denker Part I: Asymptotic Expansions in Statistics Rabi Bhattacharya 11 {sect}1. CRAMER-EDGEWORTH EXPANSIONS Let Q be a probability measure on (IRk, B"), B" denoting the Borel sigmafield on IR". Assume that the s - th absolute moment of Q is finite, (1.1) P. := J II x lis Q(dx)