Order Statistics And Nonparametrics

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Approximate Distributions of Order Statistics

Author : Rolf-Dieter Reiss
Publisher : Springer Science & Business Media
ISBN 13 : 1461396204
Total Pages : 363 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Approximate Distributions of Order Statistics by : Rolf-Dieter Reiss

Download or read book Approximate Distributions of Order Statistics written by Rolf-Dieter Reiss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approxi mating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estima tion and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored.

Nonparametric Statistical Inference

Author : Jean Dickinson Gibbons
Publisher : CRC Press
ISBN 13 : 135161617X
Total Pages : 695 pages
Book Rating : 4.3/5 (516 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 2020-12-21 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for previous editions: "... a classic with a long history." – Statistical Papers "The fact that the first edition of this book was published in 1971 ... [is] testimony to the book’s success over a long period." – ISI Short Book Reviews "... one of the best books available for a theory course on nonparametric statistics. ... very well written and organized ... recommended for teachers and graduate students." – Biometrics "... There is no competitor for this book and its comprehensive development and application of nonparametric methods. Users of one of the earlier editions should certainly consider upgrading to this new edition." – Technometrics "... Useful to students and research workers ... a good textbook for a beginning graduate-level course in nonparametric statistics." – Journal of the American Statistical Association Since its first publication in 1971, Nonparametric Statistical Inference has been widely regarded as the source for learning about nonparametrics. The Sixth Edition carries on this tradition and incorporates computer solutions based on R. Features Covers the most commonly used nonparametric procedures States the assumptions, develops the theory behind the procedures, and illustrates the techniques using realistic examples from the social, behavioral, and life sciences Presents tests of hypotheses, confidence-interval estimation, sample size determination, power, and comparisons of competing procedures Includes an Appendix of user-friendly tables needed for solutions to all data-oriented examples Gives examples of computer applications based on R, MINITAB, STATXACT, and SAS Lists over 100 new references Nonparametric Statistical Inference, Sixth Edition, has been thoroughly revised and rewritten to make it more readable and reader-friendly. All of the R solutions are new and make this book much more useful for applications in modern times. It has been updated throughout and contains 100 new citations, including some of the most recent, to make it more current and useful for researchers.

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.

Order Statistics

Author : Herbert A. David
Publisher : John Wiley & Sons
ISBN 13 : 0471654019
Total Pages : 482 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Order Statistics by : Herbert A. David

Download or read book Order Statistics written by Herbert A. David and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions. Furthermore, it develops the distribution theory of OS systematically. Applications include procedures for the treatment of outliers and other data analysis techniques. Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission. Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter. Extensive exercise sets will continue, many of them replaced by newer ones.

Nonparametric Statistics with Applications to Science and Engineering

Author : Paul H. Kvam
Publisher : John Wiley & Sons
ISBN 13 : 9780470168691
Total Pages : 448 pages
Book Rating : 4.1/5 (686 download)

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Book Synopsis Nonparametric Statistics with Applications to Science and Engineering by : Paul H. Kvam

Download or read book Nonparametric Statistics with Applications to Science and Engineering written by Paul H. Kvam and published by John Wiley & Sons. This book was released on 2007-08-24 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and definitive book that fully addresses traditional and modern-day topics of nonparametric statistics This book presents a practical approach to nonparametric statistical analysis and provides comprehensive coverage of both established and newly developed methods. With the use of MATLAB, the authors present information on theorems and rank tests in an applied fashion, with an emphasis on modern methods in regression and curve fitting, bootstrap confidence intervals, splines, wavelets, empirical likelihood, and goodness-of-fit testing. Nonparametric Statistics with Applications to Science and Engineering begins with succinct coverage of basic results for order statistics, methods of categorical data analysis, nonparametric regression, and curve fitting methods. The authors then focus on nonparametric procedures that are becoming more relevant to engineering researchers and practitioners. The important fundamental materials needed to effectively learn and apply the discussed methods are also provided throughout the book. Complete with exercise sets, chapter reviews, and a related Web site that features downloadable MATLAB applications, this book is an essential textbook for graduate courses in engineering and the physical sciences and also serves as a valuable reference for researchers who seek a more comprehensive understanding of modern nonparametric statistical methods.

Nonparametric Methods in Multivariate Analysis

Author : Madan Lal Puri
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonparametric Methods in Multivariate Analysis by : Madan Lal Puri

Download or read book Nonparametric Methods in Multivariate Analysis written by Madan Lal Puri and published by . This book was released on 1971 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Statistics: Theory And Methods

Author : Jayant V Deshpande
Publisher : World Scientific
ISBN 13 : 981466359X
Total Pages : 279 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Nonparametric Statistics: Theory And Methods by : Jayant V Deshpande

Download or read book Nonparametric Statistics: Theory And Methods written by Jayant V Deshpande and published by World Scientific. This book was released on 2017-10-17 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number of books on Nonparametric Methodology is quite small as compared to, say, on Design of Experiments, Regression Analysis, Multivariate Analysis, etc. Because of being perceived as less effective, nonparametric methods are still the second choice. Actually, it has been demonstrated time and again that they are useful. We feel that there is still need for proper texts/applications/reference books on Nonparametric Methodology.This book will introduce various types of data encountered in practice and suggest the appropriate nonparametric methods, discuss their properties through null and non-null distributions whenever possible and demonstrate the very minor loss in power and efficiency in the nonparametric method, if any.The book will cover almost all topics of current interest such as bootstrapping, ranked set sampling, techniques for censored data and Bayesian analysis under nonparametric set ups.

Nonparametric Statistical Inference

Author : Jean Dickinson Gibbons
Publisher : CRC Press
ISBN 13 : 113553201X
Total Pages : 350 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 350 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 Statistics

Author : Gregory W. Corder
Publisher : John Wiley & Sons
ISBN 13 : 1118840429
Total Pages : 288 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Nonparametric Statistics by : Gregory W. Corder

Download or read book Nonparametric Statistics written by Gregory W. Corder and published by John Wiley & Sons. This book was released on 2014-04-14 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: “...a very useful resource for courses in nonparametric statistics in which the emphasis is on applications rather than on theory. It also deserves a place in libraries of all institutions where introductory statistics courses are taught." –CHOICE This Second Edition presents a practical and understandable approach that enhances and expands the statistical toolset for readers. This book includes: New coverage of the sign test and the Kolmogorov-Smirnov two-sample test in an effort to offer a logical and natural progression to statistical power SPSS® (Version 21) software and updated screen captures to demonstrate how to perform and recognize the steps in the various procedures Data sets and odd-numbered solutions provided in an appendix, and tables of critical values Supplementary material to aid in reader comprehension, which includes: narrated videos and screen animations with step-by-step instructions on how to follow the tests using SPSS; online decision trees to help users determine the needed type of statistical test; and additional solutions not found within the book.

Statistical Analysis of Nonnormal Data

Author : J. V. Deshpande
Publisher : Taylor & Francis
ISBN 13 : 9788122407075
Total Pages : 256 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Statistical Analysis of Nonnormal Data by : J. V. Deshpande

Download or read book Statistical Analysis of Nonnormal Data written by J. V. Deshpande and published by Taylor & Francis. This book was released on 1995 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Analysis Of Nonnormal Data Has Successfully Made Available In One Place Nonparametric Methods And Methods Of Discrete Data-Analysis. It Has Attempted To Introduce The Reader To Methods Appropriate For Simple, Continuous, Nonnormal Distribution Of Interest In The Newly Emerging Area Of Survival Analysis And Reliability. The Book Also Provides Computer Programmes For Ready Use.It Can Be Used By Anyone Familiar With Standard Statistical Principles And The Tools In The Framework Of Normal Distribution. Computer Programmes Are In Theready To Use Format. Therefore, Familiarity With Operations Of A Personal Computer And A Dos Environment Is The Only Prerequisite.The Book Would Make An Excellent Text For A Second Course In Statistical Methods For Biologists, Social Scientists, Engineers, Etc. Researchers In Various Disciplines Should Be Able To Use The Methods Described In The Book Without The Benefit Of A Formal Course.

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.

Nonparametric Statistics for Non-Statisticians

Author : Gregory W. Corder
Publisher : John Wiley & Sons
ISBN 13 : 1118211251
Total Pages : 199 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Nonparametric Statistics for Non-Statisticians by : Gregory W. Corder

Download or read book Nonparametric Statistics for Non-Statisticians written by Gregory W. Corder and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical and understandable approach to nonparametric statistics for researchers across diverse areas of study As the importance of nonparametric methods in modern statistics continues to grow, these techniques are being increasingly applied to experimental designs across various fields of study. However, researchers are not always properly equipped with the knowledge to correctly apply these methods. Nonparametric Statistics for Non-Statisticians: A Step-by-Step Approach fills a void in the current literature by addressing nonparametric statistics in a manner that is easily accessible for readers with a background in the social, behavioral, biological, and physical sciences. Each chapter follows the same comprehensive format, beginning with a general introduction to the particular topic and a list of main learning objectives. A nonparametric procedure is then presented and accompanied by context-based examples that are outlined in a step-by-step fashion. Next, SPSS® screen captures are used to demonstrate how to perform and recognize the steps in the various procedures. Finally, the authors identify and briefly describe actual examples of corresponding nonparametric tests from diverse fields. Using this organized structure, the book outlines essential skills for the application of nonparametric statistical methods, including how to: Test data for normality and randomness Use the Wilcoxon signed rank test to compare two related samples Apply the Mann-Whitney U test to compare two unrelated samples Compare more than two related samples using the Friedman test Employ the Kruskal-Wallis H test to compare more than two unrelated samples Compare variables of ordinal or dichotomous scales Test for nominal scale data A detailed appendix provides guidance on inputting and analyzing the presented data using SPSS®, and supplemental tables of critical values are provided. In addition, the book's FTP site houses supplemental data sets and solutions for further practice. Extensively classroom tested, Nonparametric Statistics for Non-Statisticians is an ideal book for courses on nonparametric statistics at the upper-undergraduate and graduate levels. It is also an excellent reference for professionals and researchers in the social, behavioral, and health sciences who seek a review of nonparametric methods and relevant applications.

Nonparametric Statistical Inference

Author : Jean Dickinson Gibbons
Publisher : CRC Press
ISBN 13 : 1351616161
Total Pages : 435 pages
Book Rating : 4.3/5 (516 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 2020-12-22 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for previous editions: "... a classic with a long history." – Statistical Papers "The fact that the first edition of this book was published in 1971 ... [is] testimony to the book’s success over a long period." – ISI Short Book Reviews "... one of the best books available for a theory course on nonparametric statistics. ... very well written and organized ... recommended for teachers and graduate students." – Biometrics "... There is no competitor for this book and its comprehensive development and application of nonparametric methods. Users of one of the earlier editions should certainly consider upgrading to this new edition." – Technometrics "... Useful to students and research workers ... a good textbook for a beginning graduate-level course in nonparametric statistics." – Journal of the American Statistical Association Since its first publication in 1971, Nonparametric Statistical Inference has been widely regarded as the source for learning about nonparametrics. The Sixth Edition carries on this tradition and incorporates computer solutions based on R. Features Covers the most commonly used nonparametric procedures States the assumptions, develops the theory behind the procedures, and illustrates the techniques using realistic examples from the social, behavioral, and life sciences Presents tests of hypotheses, confidence-interval estimation, sample size determination, power, and comparisons of competing procedures Includes an Appendix of user-friendly tables needed for solutions to all data-oriented examples Gives examples of computer applications based on R, MINITAB, STATXACT, and SAS Lists over 100 new references Nonparametric Statistical Inference, Sixth Edition, has been thoroughly revised and rewritten to make it more readable and reader-friendly. All of the R solutions are new and make this book much more useful for applications in modern times. It has been updated throughout and contains 100 new citations, including some of the most recent, to make it more current and useful for researchers.

Nonparametric Methods in Statistics

Author : Donald Alexander Stuart Fraser
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.M/5 ( download)

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Book Synopsis Nonparametric Methods in Statistics by : Donald Alexander Stuart Fraser

Download or read book Nonparametric Methods in Statistics written by Donald Alexander Stuart Fraser and published by . This book was released on 1963 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sturdy Statistics: Nonparametrics and Order Statistics

Author : Frederick Mosteller
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Sturdy Statistics: Nonparametrics and Order Statistics by : Frederick Mosteller

Download or read book Sturdy Statistics: Nonparametrics and Order Statistics written by Frederick Mosteller and published by Addison Wesley Publishing Company. This book was released on 1973 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Normal and non-normal data; Applications of the binomial and multinomial distributions; Ranking methods for two independent samples; Normal approximation for the mann-whitney test; Wicoxon's signed rank test; Rank correlation; Rare events: the poisson distribution; The exact chi-square distribution; Applying chi-square to counted data: basic ideas; Order statistics: distributions of probabilities, confidence limits, tolerance limits; Order statistics: point estimation; Designing your own statistical test or measure; Discrete distribution of a random variable.

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.

Methodology in Robust and Nonparametric Statistics

Author : Jana Jurečková
Publisher : CRC Press
ISBN 13 : 1439840687
Total Pages : 411 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Methodology in Robust and Nonparametric Statistics by : Jana Jurečková

Download or read book Methodology in Robust and Nonparametric Statistics written by Jana Jurečková and published by CRC Press. This book was released on 2012-07-20 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust and nonparametric statistical methods have their foundation in fields ranging from agricultural science to astronomy, from biomedical sciences to the public health disciplines, and, more recently, in genomics, bioinformatics, and financial statistics. These disciplines are presently nourished by data mining and high-level computer-based algorithms, but to work actively with robust and nonparametric procedures, practitioners need to understand their background. Explaining the underpinnings of robust methods and recent theoretical developments, Methodology in Robust and Nonparametric Statistics provides a profound mathematically rigorous explanation of the methodology of robust and nonparametric statistical procedures. Thoroughly up-to-date, this book Presents multivariate robust and nonparametric estimation with special emphasis on affine-equivariant procedures, followed by hypotheses testing and confidence sets Keeps mathematical abstractions at bay while remaining largely theoretical Provides a pool of basic mathematical tools used throughout the book in derivations of main results The methodology presented, with due emphasis on asymptotics and interrelations, will pave the way for further developments on robust statistical procedures in more complex models. Using examples to illustrate the methods, the text highlights applications in the fields of biomedical science, bioinformatics, finance, and engineering. In addition, the authors provide exercises in the text.