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Author : Manfred Denker
Publisher : Springer-Verlag
ISBN 13 : 3663142299
Total Pages : 204 pages
Book Rating : 4.6/5 (631 download)
Download or read book Asymptotic Distribution Theory in Nonparametric Statistics written by Manfred Denker and published by Springer-Verlag. This book was released on 2013-07-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 3034892543
Total Pages : 121 pages
Book Rating : 4.0/5 (348 download)
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)
Author : Manfred Denker
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (833 download)
Download or read book Asymptotic distribution theory in nonparametric statistics. Vorles. 1984 written by Manfred Denker and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9814531766
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)
Download or read book Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory written by Odile Pons and published by World Scientific. This book was released on 2013-10-04 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals.
Author : Jayant V Deshpande
Publisher : World Scientific
ISBN 13 : 981466359X
Total Pages : 279 pages
Book Rating : 4.8/5 (146 download)
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.
Author : Rolf-Dieter Reiss
Publisher : Springer Science & Business Media
ISBN 13 : 1461396204
Total Pages : 363 pages
Book Rating : 4.4/5 (613 download)
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.
Author : Madan Lal Puri
Publisher : Walter de Gruyter
ISBN 13 : 3110917815
Total Pages : 804 pages
Book Rating : 4.1/5 (19 download)
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.
Author : J.W. Pratt
Publisher : Springer Science & Business Media
ISBN 13 : 1461259312
Total Pages : 476 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Jana Jurečková
Publisher : CRC Press
ISBN 13 : 1439840687
Total Pages : 411 pages
Book Rating : 4.4/5 (398 download)
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.
Author : Qi Li
Publisher : Princeton University Press
ISBN 13 : 0691248087
Total Pages : 768 pages
Book Rating : 4.6/5 (912 download)
Download or read book Nonparametric Econometrics written by Qi Li and published by Princeton University Press. This book was released on 2023-07-18 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, up-to-date textbook on nonparametric methods for students and researchers Until now, students and researchers in nonparametric and semiparametric statistics and econometrics have had to turn to the latest journal articles to keep pace with these emerging methods of economic analysis. Nonparametric Econometrics fills a major gap by gathering together the most up-to-date theory and techniques and presenting them in a remarkably straightforward and accessible format. The empirical tests, data, and exercises included in this textbook help make it the ideal introduction for graduate students and an indispensable resource for researchers. Nonparametric and semiparametric methods have attracted a great deal of attention from statisticians in recent decades. While the majority of existing books on the subject operate from the presumption that the underlying data is strictly continuous in nature, more often than not social scientists deal with categorical data—nominal and ordinal—in applied settings. The conventional nonparametric approach to dealing with the presence of discrete variables is acknowledged to be unsatisfactory. This book is tailored to the needs of applied econometricians and social scientists. Qi Li and Jeffrey Racine emphasize nonparametric techniques suited to the rich array of data types—continuous, nominal, and ordinal—within one coherent framework. They also emphasize the properties of nonparametric estimators in the presence of potentially irrelevant variables. Nonparametric Econometrics covers all the material necessary to understand and apply nonparametric methods for real-world problems.
Author : A. W. van der Vaart
Publisher : Cambridge University Press
ISBN 13 : 9780521784504
Total Pages : 470 pages
Book Rating : 4.7/5 (845 download)
Download or read book Asymptotic Statistics written by A. W. van der Vaart and published by Cambridge University Press. This book was released on 2000-06-19 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.
Author : Z. Govindarajulu
Publisher : World Scientific
ISBN 13 : 981270034X
Total Pages : 692 pages
Book Rating : 4.8/5 (127 download)
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.
Author : Manfred Denker
Publisher : Vieweg+teubner Verlag
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Distribution Theory in Nonparametric Statistics written by Manfred Denker and published by Vieweg+teubner Verlag. This book was released on 1985 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 0387759700
Total Pages : 726 pages
Book Rating : 4.3/5 (877 download)
Download or read book Asymptotic Theory of Statistics and Probability written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2008-03-07 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.
Author : P. R. Krishnaiah
Publisher : Elsevier Health Sciences
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.:/5 (319 download)
Download or read book Nonparametric Methods written by P. R. Krishnaiah and published by Elsevier Health Sciences. This book was released on 1984 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical developments. Linear models. Order statistics and empitical distribution. Estimation procedures. Stochastic aproximation and density estimation. Life testing and reliability. Miscellaneous topics. Applications. Tables.
Author : Ronald H. Randles
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (319 download)
Download or read book Introduction to the Theory of Nonparametric Statistics written by Ronald H. Randles and published by . This book was released on 1979 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intermediate text that provides a basic understanding of concepts and theory, presenting important mathematical statistics tools fundamental to the development of nonparametric statistics. Uses an intuitive approach emphasizing techniques for making a test distribution-free (such as counting and ranking). U-statistics, asymptotic efficiency, the Hodges-Lehmann technique for creating a confidence interval and a point estimator from a test, linear rank statistics, and more. Also includes currently developing areas. Readers are required to be familiar with the basic concepts of statistical inference and have a good knowledge of advanced calculus.
Author : Lucien Le Cam
Publisher : Springer Science & Business Media
ISBN 13 : 1461249465
Total Pages : 767 pages
Book Rating : 4.4/5 (612 download)
Download or read book Asymptotic Methods in Statistical Decision Theory written by Lucien Le Cam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.
