Asymptotic Normality And Efficiency Of Certain Nonparametric Test Statistics

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Recent Advances and Trends in Nonparametric Statistics

Author : M.G. Akritas
Publisher : Elsevier
ISBN 13 : 0444513787
Total Pages : 524 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Recent Advances and Trends in Nonparametric Statistics by : M.G. Akritas

Download or read book Recent Advances and Trends in Nonparametric Statistics written by M.G. Akritas and published by Elsevier. This book was released on 2003-10-31 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed, affordable computers in the last two decades has given a new boost to the nonparametric way of thinking. Classical nonparametric procedures, such as function smoothing, suddenly lost their abstract flavour as they became practically implementable. In addition, many previously unthinkable possibilities became mainstream; prime examples include the bootstrap and resampling methods, wavelets and nonlinear smoothers, graphical methods, data mining, bioinformatics, as well as the more recent algorithmic approaches such as bagging and boosting. This volume is a collection of short articles - most of which having a review component - describing the state-of-the art of Nonparametric Statistics at the beginning of a new millennium. Key features: . algorithic approaches . wavelets and nonlinear smoothers . graphical methods and data mining . biostatistics and bioinformatics . bagging and boosting . support vector machines . resampling methods

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)

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.

Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability

Author : Lucien Marie Le Cam
Publisher : Univ of California Press
ISBN 13 :
Total Pages : 690 pages
Book Rating : 4./5 ( download)

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Book Synopsis Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability by : Lucien Marie Le Cam

Download or read book Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability written by Lucien Marie Le Cam and published by Univ of California Press. This book was released on 1967 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability

Author : Jerzy Neyman
Publisher : Univ of California Press
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4./5 ( download)

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Book Synopsis Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability by : Jerzy Neyman

Download or read book Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability written by Jerzy Neyman and published by Univ of California Press. This book was released on 1961 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Statistical Inference

Author : Jean Dickinson Gibbons
Publisher : CRC Press
ISBN 13 : 113553201X
Total Pages : 502 pages
Book Rating : 4.1/5 (355 download)

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Book Synopsis Nonparametric Statistical Inference by : Jean Dickinson Gibbons

Download or read book Nonparametric Statistical Inference written by Jean Dickinson Gibbons and published by CRC Press. This book was released on 2014-03-10 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised and reorganized, the fourth edition presents in-depth coverage of the theory and methods of the most widely used nonparametric procedures in statistical analysis and offers example applications appropriate for all areas of the social, behavioral, and life sciences. The book presents new material on the quantiles, the calculation of exact and simulated power, multiple comparisons, additional goodness-of-fit tests, methods of analysis of count data, and modern computer applications using MINITAB, SAS, and STATXACT. It includes tabular guides for simplified applications of tests and finding P values and confidence interval estimates.

Nonparametric Statistical Methods For Complete and Censored Data

Author : M.M. Desu
Publisher : CRC Press
ISBN 13 : 9781584883197
Total Pages : 392 pages
Book Rating : 4.8/5 (831 download)

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Book Synopsis Nonparametric Statistical Methods For Complete and Censored Data by : M.M. Desu

Download or read book Nonparametric Statistical Methods For Complete and Censored Data written by M.M. Desu and published by CRC Press. This book was released on 2003-09-29 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Balancing the "cookbook" approach of some texts with the more mathematical approach of others, Nonparametric Statistical Methods for Complete and Censored Data introduces commonly used non-parametric methods for complete data and extends those methods to right censored data analysis. Whenever possible, the authors derive their methodology from the general theory of statistical inference and introduce the concepts intuitively for students with minimal backgrounds. Derivations and mathematical details are relegated to appendices at the end of each chapter, which allows students to easily proceed through each chapter without becoming bogged down in a lot of mathematics. In addition to the nonparametric methods for analyzing complete and censored data, the book covers optimal linear rank statistics, clinical equivalence, analysis of block designs, and precedence tests. To make the material more accessible and practical, the authors use SAS programs to illustrate the various methods included. Exercises in each chapter, SAS code, and a clear, accessible presentation make this an outstanding text for a one-semester senior or graduate-level course in nonparametric statistics for students in a variety of disciplines, from statistics and biostatistics to business, psychology, and the social scientists. Prerequisites: Students will need a solid background in calculus and a two-semester course in mathematical statistics.

Practical Nonparametric Statistics

Author : W. J. Conover
Publisher : John Wiley & Sons
ISBN 13 : 0471160687
Total Pages : 608 pages
Book Rating : 4.4/5 (711 download)

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Book Synopsis Practical Nonparametric Statistics by : W. J. Conover

Download or read book Practical Nonparametric Statistics written by W. J. Conover and published by John Wiley & Sons. This book was released on 1999-01-07 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly-regarded text serves as a quick reference book which offers clear, concise instructions on how and when to use the most popular nonparametric procedures. This edition features some procedures that have withstood the test of time and are now used by many practitioners, such as the Fisher Exact Test for two-by-two contingency tables, the Mantel-Haenszel Test for combining several contingency tables, the Kaplan-Meier estimates of the survival curve, the Jonckheere-Terpstra Test and the Page Test for ordered alternatives, and a discussion of the bootstrap method.

Linear Statistical Inference and its Applications

Author : C. Radhakrishna Rao
Publisher : John Wiley & Sons
ISBN 13 : 0470317140
Total Pages : 656 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Linear Statistical Inference and its Applications by : C. Radhakrishna Rao

Download or read book Linear Statistical Inference and its Applications written by C. Radhakrishna Rao and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: "C. R. Rao would be found in almost any statistician's list of five outstanding workers in the world of Mathematical Statistics today. His book represents a comprehensive account of the main body of results that comprise modern statistical theory." -W. G. Cochran "[C. R. Rao is] one of the pioneers who laid the foundations of statistics which grew from ad hoc origins into a firmly grounded mathematical science." -B. Efrom Translated into six major languages of the world, C. R. Rao's Linear Statistical Inference and Its Applications is one of the foremost works in statistical inference in the literature. Incorporating the important developments in the subject that have taken place in the last three decades, this paperback reprint of his classic work on statistical inference remains highly applicable to statistical analysis. Presenting the theory and techniques of statistical inference in a logically integrated and practical form, it covers: * The algebra of vectors and matrices * Probability theory, tools, and techniques * Continuous probability models * The theory of least squares and the analysis of variance * Criteria and methods of estimation * Large sample theory and methods * The theory of statistical inference * Multivariate normal distribution Written for the student and professional with a basic knowledge of statistics, this practical paperback edition gives this industry standard new life as a key resource for practicing statisticians and statisticians-in-training.

Selected Works of E. L. Lehmann

Author : Javier Rojo
Publisher : Springer Science & Business Media
ISBN 13 : 1461414113
Total Pages : 1103 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Selected Works of E. L. Lehmann by : Javier Rojo

Download or read book Selected Works of E. L. Lehmann written by Javier Rojo and published by Springer Science & Business Media. This book was released on 2012-01-16 with total page 1103 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.

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.

Multiple Comparisons, Selection and Applications in Biometry

Author : Fred. M. Hoppe
Publisher : CRC Press
ISBN 13 : 1000104923
Total Pages : 576 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Multiple Comparisons, Selection and Applications in Biometry by : Fred. M. Hoppe

Download or read book Multiple Comparisons, Selection and Applications in Biometry written by Fred. M. Hoppe and published by CRC Press. This book was released on 2021-10-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to provide in-depth descriptions of the latest developments in multiple comparison methods and selection procedures, while emphasizing biometry. This text is published in honour of the 70th birthday of Charles W. Dunnett - a pioneer in statistical methodology.

Recent Developments in Multiple Comparison Procedures

Author : Yoav Benjamini
Publisher : IMS
ISBN 13 : 9780940600638
Total Pages : 168 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Recent Developments in Multiple Comparison Procedures by : Yoav Benjamini

Download or read book Recent Developments in Multiple Comparison Procedures written by Yoav Benjamini and published by IMS. This book was released on 2004 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Statistics

Author : M. Haseeb Rizvi
Publisher : Academic Press
ISBN 13 : 1483266605
Total Pages : 626 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Recent Advances in Statistics by : M. Haseeb Rizvi

Download or read book Recent Advances in Statistics written by M. Haseeb Rizvi and published by Academic Press. This book was released on 2014-05-10 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Statistics: Papers in Honor of Herman Chernoff on His Sixtieth Birthday is a collection of papers on statistics in honor of Herman Chernoff on the occasion of his 60th birthday. Topics covered range from sequential analysis (including designs) to optimization (including control theory), nonparametrics (including large sample theory), and statistical graphics. Comprised of 27 chapters, this book begins with a discussion on optimal stopping of Brownian motion, followed by an analysis of sequential design of comparative clinical trials. A two-sample sequential test for shift with one sample size fixed in advance is then presented. Subsequent chapters focus on set-valued parameters and set-valued statistics; large deviations of the maximum likelihood estimate in the Markov chain case; the limiting behavior of multiple roots of the likelihood equation; and optimal uniform rate of convergence for nonparametric estimators of a density function and its derivatives. The book concludes by considering significance and confidence levels, closed regions and models, and discrete distributions. This monograph should be of interest to students, researchers, and specialists in the fields of mathematics and statistics.

Research Developments in Probability And Statistics

Author : Madan Lal Puri
Publisher : VSP
ISBN 13 : 9789067642095
Total Pages : 466 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Research Developments in Probability And Statistics by : Madan Lal Puri

Download or read book Research Developments in Probability And Statistics written by Madan Lal Puri and published by VSP. This book was released on 1996-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 65th birthday of Professor Madan L. Puri, the authors of this Festschrift pay their tribute to his scientific achievements in statistics. This volume reflects a selective survey of leading contemprary scientific trends and developments that are significantly related to ideas expressed and pursued in Madan L. Puri's work in statistics and related fields. The wide spectrum of scientific interest which characterizes Professor Puri's scientific activity is thus illuminated. The choice of papers offered combines fundamental principles with interesting applications, selected for their originality and insight, and for their influence on the modern approach to statistics, probability and related fields.

The Oxford Dictionary of Statistical Terms

Author : Yadolah Dodge
Publisher : Oxford University Press, USA
ISBN 13 : 9780199206131
Total Pages : 516 pages
Book Rating : 4.2/5 (61 download)

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Book Synopsis The Oxford Dictionary of Statistical Terms by : Yadolah Dodge

Download or read book The Oxford Dictionary of Statistical Terms written by Yadolah Dodge and published by Oxford University Press, USA. This book was released on 2003 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the new-in-paperback edition of The Oxford Dictionary of Statistical Terms, the much-awaited sixth edition of the acclaimed standard reference work in statistics, published on behalf of the International Statistical Institute. The first edition, known as the Dictionary of Statistical Terms, was edited in 1957 by the late Sir Maurice Kendall and the late Dr W.R. Buckland. As one of the first dictionaries of statistics it set high standards for the subject, and became a well-respected reference. This edition has been carefully updated and extended to include the most recent terminology and techniques in statistics. Significant revision and expansion from an international editorial board of senior statisticians has resulted in a comprehenisive reference text which includes 30% more material than previous editions. Ideal for all who use statistics in the workplace and in research including all scientists and social scientists, especially in law, politics, finance, business, and history, it is an indispensable reference.

Statistics and Public Policy

Author : Bruce D. Spencer
Publisher : Clarendon Press
ISBN 13 : 0191591238
Total Pages : 306 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Statistics and Public Policy by : Bruce D. Spencer

Download or read book Statistics and Public Policy written by Bruce D. Spencer and published by Clarendon Press. This book was released on 1997-02-13 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics — meaning statistical data, statistical methods, and statistical thinking — play important and fascinating roles in public issues. Yet, these roles are sometimes unknown to statistics students and even professional statisticians. This book indicates some connections between statistics and public issues such as government policy- or decision-making, public administration, law, and public debate. This book describes examples of statistics in public policy areas as disparate as national defence, AIDS diffusion, DNA fingerprinting, human rights violations and scientific manpower among other areas. Although a small amount of statistical training is assumed—a minimum of a half year of undergraduate level statistics—the emphasis is on ideas rather than technical detail or mathematical generality. This low technical content makes it accessible to not only statisticians but social scientists as well. It will also be a useful resource for teachers of first year statistics.