On Large Deviations and Bahadur Efficiency of Linear Rank Statistics

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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).

On Large Deviations of Linear Rank Statistics

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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).

Probability Theory and Mathematical Statistics. Vol. 2

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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

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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).

Mathematical Statistics and Probability Theory

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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) .

Some Limit Theorems in Statistics

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Publisher : SIAM
ISBN 13 : 0898711754
Total Pages : 48 pages
Book Rating : 4.8/5 (987 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 1971-01-31 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of topics in the theory of large deviations and of aspects of estimation and testing in large samples.

Theory of Rank Tests

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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

Underwater Acoustics and Signal Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 9400984472
Total Pages : 730 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Underwater Acoustics and Signal Processing by : L. Bjørnø

Download or read book Underwater Acoustics and Signal Processing written by L. Bjørnø and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: The comprehensive research activity around the World in the fields of Underwater Acoustics and Signal Processing being strongly supported by new experimental technique and equipment and by the parallel fast developments in computer technology and solid state devices, which has led to a rapidly reducing cost of digital processing thus enabling more complex processing to be carried out economically, emphasize how necessary it is at intervals of a few years through a NATO Advanced Study Institute (NATO ASI) and guided by leading experts to study the conquests in the fields of Underwater Acoustics and Signal Processing. This need of study is moreover stressed by the interdisciplina rity of Underwater Acoustics and Signal Processing, where a strong impact from other branches of science, - Geophysics, Radioastronomy, Bioengineering, Telecommunication, Seismology, Space Research etc. - is taking place, which makes it an extre mely difficult task for scientists to follow-up the development in all its phases and to preserve the general view of its rapid ly increasing number of possibilities. The present Proceedings of the NATO ASI held in Copenhagen during August 1980 join the series of proceedings of NATO summer schools on Underwater Acoustics and Signal Processing held during the past 20 years. The equality and the fusion of the individual research fields of Underwater Acoustics and Signal Processing and the separate introduction of advanced research results from other scientific areas related to underwater acoustics such as transducers characterize the subject matter of this NATO ASI.

Asymptotic Efficiency of Nonparametric Tests

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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.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (319 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 1995 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Concepts of Nonparametric Theory

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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.

Acta Universitatis Carolinae

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Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Acta Universitatis Carolinae by :

Download or read book Acta Universitatis Carolinae written by and published by . This book was released on 1983 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Theory of Testing Statistical Hypotheses

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Publisher : Walter de Gruyter
ISBN 13 : 3110935996
Total Pages : 305 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Asymptotic Theory of Testing Statistical Hypotheses by : Vladimir E. Bening

Download or read book Asymptotic Theory of Testing Statistical Hypotheses written by Vladimir E. Bening and published by Walter de Gruyter. This book was released on 2011-08-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Approximation Theorems of Mathematical Statistics

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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

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ISBN 13 :
Total Pages : 862 pages
Book Rating : 4./5 ( 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 1991 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robust Statistical Methods with R, Second Edition

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Publisher : CRC Press
ISBN 13 : 1351975129
Total Pages : 255 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Robust Statistical Methods with R, Second Edition by : Jana Jurečková

Download or read book Robust Statistical Methods with R, Second Edition written by Jana Jurečková and published by CRC Press. This book was released on 2019-05-29 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Robust Statistical Methods with R provides a systematic treatment of robust procedures with an emphasis on new developments and on the computational aspects. There are many numerical examples and notes on the R environment, and the updated chapter on the multivariate model contains additional material on visualization of multivariate data in R. A new chapter on robust procedures in measurement error models concentrates mainly on the rank procedures, less sensitive to errors than other procedures. This book will be an invaluable resource for researchers and postgraduate students in statistics and mathematics. Features • Provides a systematic, practical treatment of robust statistical methods • Offers a rigorous treatment of the whole range of robust methods, including the sequential versions of estimators, their moment convergence, and compares their asymptotic and finite-sample behavior • The extended account of multivariate models includes the admissibility, shrinkage effects and unbiasedness of two-sample tests • Illustrates the small sensitivity of the rank procedures in the measurement error model • Emphasizes the computational aspects, supplies many examples and illustrations, and provides the own procedures of the authors in the R software on the book’s website

Technical Report

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Publisher :
ISBN 13 :
Total Pages : 626 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Technical Report by : University of Wisconsin. Department of Statistics

Download or read book Technical Report written by University of Wisconsin. Department of Statistics and published by . This book was released on 1969 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: