On Large Deviations Of Linear Rank Statistics

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On Large Deviations of Linear Rank Statistics

Author : Stanford University. Applied Mathematics and Statistics Laboratory
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis On Large Deviations of Linear Rank Statistics by : Stanford University. Applied Mathematics and Statistics Laboratory

Download or read book On Large Deviations of Linear Rank Statistics written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1967 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear rank statistics are studied. This group of statistics includes many of those used in nonparametric procedures. The main theorem gives an asymptotic expression for the probability of a large deviation of such a statistic. This theorem is applied to the two sample problem, and also the problem of testing bivariate independence where it is used to obtain asymptotic (as alpha approaches zero, beta fixed) expressions for the sample sizes needed by nonparametric tests to achieve type I error alpha and type II error beta against a fixed, simple alternative. It is shown that the Fisher-Yates correlation coefficient requires exactly the same asymptotic sample size against a bivariate normal alternative as the product-moment correlation coefficient. (Author).

On Large Deviations and Bahadur Efficiency of Linear Rank Statistics

Author : Stanford University. Applied Mathematics and Statistics Laboratory
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis On Large Deviations and Bahadur Efficiency of Linear Rank Statistics by : Stanford University. Applied Mathematics and Statistics Laboratory

Download or read book On Large Deviations and Bahadur Efficiency of Linear Rank Statistics written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1969 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new, simpler proof of the main theorem of AD-659 994 is presented. This theorem enabled one to approximate the sample size needed by a test with type I error alpha to achieve type II error beta at a fixed alternative hypothesis. This approximation involved a quantity called the exact slope, an information number which is, very roughly, something like the channel capacity of the real world-test-statistician 'channel'. Theorem 4 provides a method for numerically calculating the exact slope; such calculations are carried out for two-sample Wilcoxon, normal-scores and median tests against normal, logistic and double exponential shift alternatives. (Author).

Probability Theory and Extreme Value Theory

Author : Madan Lal Puri
Publisher : Walter de Gruyter
ISBN 13 : 3110917823
Total Pages : 760 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Probability Theory and Extreme Value Theory by : Madan Lal Puri

Download or read book Probability Theory and Extreme Value Theory written by Madan Lal Puri and published by Walter de Gruyter. This book was released on 2011-07-11 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Limit Theorems in Statistics

Author : R. R. Bahadur
Publisher : SIAM
ISBN 13 : 9781611970630
Total Pages : 48 pages
Book Rating : 4.9/5 (76 download)

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Book Synopsis Some Limit Theorems in Statistics by : R. R. Bahadur

Download or read book Some Limit Theorems in Statistics written by R. R. Bahadur and published by SIAM. This book was released on 1971-01-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of some topics in the theory of large deviations such as moment-generating functions and Chernoff's theorem, and of aspects of estimation and testing in large samples, such as exact slopes of test statistics.

Probability Theory and Mathematical Statistics. Vol. 2

Author : B. Grigelionis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319028
Total Pages : 624 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics. Vol. 2 by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics. Vol. 2 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROB. TH. MATH. ST. ( GRIGELIONIS) VOL. 2 PROC.5/1989 E-BOOK".

Chernoff Efficiency of Linear Rank Statistics

Author : Tea-Yuan Hwang
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Chernoff Efficiency of Linear Rank Statistics by : Tea-Yuan Hwang

Download or read book Chernoff Efficiency of Linear Rank Statistics written by Tea-Yuan Hwang and published by . This book was released on 1972 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theorem of Hoadley used to compute large deviation probabilities for linear rank statistics with bounded score functions is extended to cover the unbounded case. The theorem is then applied to compute large deviation probabilities under alternatives in order to obtain the Chernoff efficiency of linear rank statistics. Numerical values are obtained under normal location alternatives for the two sample Wilcoxon and are shown to decrease more slowly than do corresponding Bahadur efficiency values with increasing location difference. (Author).

Selected collected works

Author : Madan Lal Puri
Publisher : VSP
ISBN 13 : 9789067643856
Total Pages : 760 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Selected collected works by : Madan Lal Puri

Download or read book Selected collected works written by Madan Lal Puri and published by VSP. This book was released on 2003-01-01 with total page 760 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 1: Nonparametric Methods in Statistics and Related Topics; 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'spublications.

PROCEEDINGS OF THE SIXTH BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTICS AND.

Author :
Publisher : Univ of California Press
ISBN 13 : 0520367146
Total Pages : 774 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis PROCEEDINGS OF THE SIXTH BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTICS AND. by :

Download or read book PROCEEDINGS OF THE SIXTH BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTICS AND. written by and published by Univ of California Press. This book was released on 2021 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistics and Probability Theory

Author : Madan L. Puri
Publisher : Springer Science & Business Media
ISBN 13 : 9400939655
Total Pages : 264 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Mathematical Statistics and Probability Theory by : Madan L. Puri

Download or read book Mathematical Statistics and Probability Theory written by Madan L. Puri and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past several years have seen the creation and extension of a very conclusive theory of statistics and probability. Many of the research workers who have been concerned with both probability and statistics felt the need for meetings that provide an opportunity for personal con tacts among scholars whose fields of specialization cover broad spectra in bothstatistics and probability: to discuss major open problems and new solutions, and to provide encouragement for further research through the lectures of carefully selected scholars, moreover to introduce to younger colleagues the latest research techniques and thus to stimulate their interest in research. To meet these goals, the series of Pannonian Symposia on Mathematical Statistics was organized, beginning in the year 1979: the first, second and fourth one in Bad Tatzmannsdorf, Burgenland, Austria, the third and fifth in Visegrad, Hungary. The Sixth Pannonian Symposium was held in Bad Tatzmannsdorf again, in the time between 14 and 20 September 1986, under the auspices of Dr. Heinz FISCHER, Federal Minister of Science and Research, Theodor KERY, President of the State Government of Burgenland, Dr. Franz SAUERZOPF, Vice-President of the State Govern ment of Burgenland and Dr. Josef SCHMIDL, President of the Austrian Sta tistical Central Office. The members of the Honorary Committee were Pal ERDOS, WXadisXaw ORLICZ, Pal REVESZ, Leopold SCHMETTERER and Istvan VINCZE; those of the Organizing Committee were Wilfried GROSSMANN (Uni versity of Vienna), Franz KONECNY (University of Agriculture of Vienna) and, as the chairman, Wolfgang WERTZ (Technical University of Vienna) .

Time Series, Fuzzy Analysis and Miscellaneous Topics

Author : Madan Lal Puri
Publisher : Walter de Gruyter
ISBN 13 : 3110917831
Total Pages : 792 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Time Series, Fuzzy Analysis and Miscellaneous Topics by : Madan Lal Puri

Download or read book Time Series, Fuzzy Analysis and Miscellaneous Topics written by Madan Lal Puri and published by Walter de Gruyter. This book was released on 2011-08-02 with total page 792 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 1: Nonparametric Methods in Statistics and Related Topics; Volume 2: Probability Theory and Extreme Value Theory), 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.

Madan Lal Puri Selected Collected Works

Author : Madan Lal Puri
Publisher : VSP
ISBN 13 : 9789067643863
Total Pages : 796 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Madan Lal Puri Selected Collected Works by : Madan Lal Puri

Download or read book Madan Lal Puri Selected Collected Works written by Madan Lal Puri and published by VSP. This book was released on 2003-01-01 with total page 796 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 1: Nonparametric Methods in Statistics and Related Topics; Volume 2: Probability Theory and Extreme Value Theory), 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.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1134 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Approximation Theorems of Mathematical Statistics

Author : Robert J. Serfling
Publisher : John Wiley & Sons
ISBN 13 : 0470317191
Total Pages : 392 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Approximation Theorems of Mathematical Statistics by : Robert J. Serfling

Download or read book Approximation Theorems of Mathematical Statistics written by Robert J. Serfling and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: * The tools and foundations that are basic to asymptotic theory in statistics * The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence * Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's "differentiable statistical functions" * Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") * Use of influence curves * Approaches toward asymptotic relative efficiency of statistical test procedures

Journal of Statistical Planning and Inference

Author :
Publisher :
ISBN 13 :
Total Pages : 870 pages
Book Rating : 4.3/5 (758 download)

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Book Synopsis Journal of Statistical Planning and Inference by :

Download or read book Journal of Statistical Planning and Inference written by and published by . This book was released on 1994 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technical Abstract Bulletin

Author :
Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Technical Abstract Bulletin by :

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Rank Tests

Author : Zbynek Sidak
Publisher : Elsevier
ISBN 13 : 0080519105
Total Pages : 453 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Theory of Rank Tests by : Zbynek Sidak

Download or read book Theory of Rank Tests written by Zbynek Sidak and published by Elsevier. This book was released on 1999-04-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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