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Author: Zbynek Sidak Publisher: Elsevier ISBN: 0080519105 Category : Mathematics Languages : en Pages : 453
Book Description
The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. - Asymptotic Methods - Nonparametrics - Convergence of Probability Measures - Statistical Inference
Author: Zbynek Sidak Publisher: Elsevier ISBN: 0080519105 Category : Mathematics Languages : en Pages : 453
Book Description
The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. - Asymptotic Methods - Nonparametrics - Convergence of Probability Measures - Statistical Inference
Author: Jaroslav Hájek Publisher: ISBN: Category : Mathematics Languages : en Pages : 306
Book Description
Kniha shrnuje nejnovější, většinou ještě neuveřejněné poznatky z teorie statistických pořadových testů, z nichž některé jsou dílem autorů knihy. Podává ucelený systematický výklad a zdůrazňuje přitom studium optimality a.
Author: J. Sarangi Publisher: ISBN: Category : Ranking and selection (Statistics) Languages : en Pages : 0
Book Description
The purpose of this study is to investigate the asymptotic behaviour of certain (conditional) rank tests for comparative experiments proposed by Hodges and Lehmann (1962), and their extensions and variations. The results obtained in this thesis are extensions of the results of Mehra and Sarangi (1965) (where the case of complete designs was discussed) to the case of balanced and partially balanced incomplete block designs. The methods employed are based on certain properties of the U-statistics derived by Hoeffding (1948). In Chapter I, a brief resume of the relevant earlier work has been given and the test proposed by Hodges and Lehmann described. In Chapter II, a simplified large sample version of this test is discussed, which reduces its application to reading the critical value from the chi-square tables. In Chapter III, the asymptotic distribution of the test statistic, under a sequence of alternatives approaching the null hypothesis has been found to follow a non-central chi-square law. This helps us to study the power properties and the Pitman efficiency of the test statistics in Chapter IV. Explicit numerical evaluations of the expressions for asymptotic efficiency, which has been limited to the normal form of the parent distribution, indicates a rather high degree of efficiency of the test. Chapters IV and V contain several remarks that follow from the results of our investigation, including a useful lower bound for the asymptotic efficiency of the investigated test relative to the classical F-test. Further investigations that will throw more light on our present findings have been suggested at suitable places.
Author: A. K. Md. Ehsanes Saleh Publisher: John Wiley & Sons ISBN: 0471773743 Category : Mathematics Languages : en Pages : 656
Book Description
Theory of Preliminary Test and Stein-Type Estimation with Applications provides a com-prehensive account of the theory and methods of estimation in a variety of standard models used in applied statistical inference. It is an in-depth introduction to the estimation theory for graduate students, practitioners, and researchers in various fields, such as statistics, engineering, social sciences, and medical sciences. Coverage of the material is designed as a first step in improving the estimates before applying full Bayesian methodology, while problems at the end of each chapter enlarge the scope of the applications. This book contains clear and detailed coverage of basic terminology related to various topics, including: * Simple linear model; ANOVA; parallelism model; multiple regression model with non-stochastic and stochastic constraints; regression with autocorrelated errors; ridge regression; and multivariate and discrete data models * Normal, non-normal, and nonparametric theory of estimation * Bayes and empirical Bayes methods * R-estimation and U-statistics * Confidence set estimation
Author: Zbynek Sidak
Author: Zbynek Sidak
Author: 
Author: Jaroslav Hájek![Theory of Rank Tests [by] Jaroslav Hájek [and] Zbyněk Šidák PDF](https://books.google.com/books/content/images/frontcover/OH7OswEACAAJ?fife=w80-h100)
Author: Jaroslav Hájek
Author: Edwin Arnold Menninger
Author: Gerald R. Hobbs
Author: Georg Neuhaus
Author: J. Sarangi
Author: Arnold Janssen
Author: A. K. Md. Ehsanes Saleh