Expansions And Asymptotics For Statistics


Expansions And Asymptotics For Statistics
Author: Christopher G. Small
Publisher: CRC Press
ISBN: 9781420011029
Size: 28.69 MB
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Expansions And Asymptotics For Statistics

Expansions And Asymptotics For Statistics by Christopher G. Small, Expansions And Asymptotics For Statistics Books available in PDF, EPUB, Mobi Format. Download Expansions And Asymptotics For Statistics books, Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. The book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramér, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence.


Expansions and Asymptotics for Statistics
Language: en
Pages: 357
Authors: Christopher G. Small
Categories: Mathematics
Type: BOOK - Published: 2010-05-07 - Publisher: CRC Press
Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods,
Asymptotic Theory of Statistics and Probability
Language: en
Pages: 722
Authors: Anirban DasGupta
Categories: Mathematics
Type: BOOK - Published: 2008-03-07 - Publisher: Springer Science & Business Media
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
Asymptotic Techniques for Use in Statistics
Language: en
Pages: 252
Authors: O. E. Barndorff-Nielsen, D. R. Cox
Categories: Mathematics
Type: BOOK - Published: 2013-08-23 - Publisher: Springer
The use in statistical theory of approximate arguments based on such methods as local linearization (the delta method) and approxi mate normality has a long history. Such ideas play at least three roles. First they may give simple approximate answers to distributional problems where an exact solution is known in
Introduction to statistics and data analysis for physicists
Language: en
Pages: 447
Authors: Gerhard Bohm, Günter Zech
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher:
Books about Introduction to statistics and data analysis for physicists
Asymptotic Statistics
Language: en
Pages: 122
Authors: Manfred Denker, Rabi Bhattacharya
Categories: Juvenile Nonfiction
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser
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
Asymptotic Theory of Testing Statistical Hypotheses
Language: en
Pages: 299
Authors: Vladimir E. Bening
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: Walter de Gruyter
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.
Inference and Asymptotics
Language: en
Pages: 360
Authors: D.R. Cox, O.E. Barndorff-Nielsen
Categories: Mathematics
Type: BOOK - Published: 1994-03-01 - Publisher: CRC Press
Likelihood and its many associated concepts are of central importance in statistical theory and applications. The theory of likelihood and of likelihood-like objects (pseudo-likelihoods) has undergone extensive and important developments over the past 10 to 15 years, in particular as regards higher order asymptotics. This book provides an account of
Higher Order Asymptotics for Simple Linear Rank Statistics
Language: en
Pages: 91
Authors: R. J. M. M. Does
Categories: Asymptotic expansions
Type: BOOK - Published: 1982 - Publisher:
Books about Higher Order Asymptotics for Simple Linear Rank Statistics
Library of Congress Subject Headings
Language: en
Pages:
Authors: Library of Congress, Library of Congress. Subject Cataloging Division, Library of Congress. Office for Subject Cataloging Policy
Categories: Subject headings
Type: BOOK - Published: 1999 - Publisher:
Books about Library of Congress Subject Headings
Real and Abstract Analysis
Language: en
Pages: 476
Authors: Edwin Hewitt, Karl Stromberg
Categories: Mathematics
Type: BOOK - Published: 2013-09-03 - Publisher: Springer-Verlag
Books about Real and Abstract Analysis