Normal Approximation And Asymptotic Expansions
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Normal Approximation And Asymptotic Expansions
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Author : Rabi N. Bhattacharya
language : en
Publisher: SIAM
Release Date : 2010-11-11
Normal Approximation And Asymptotic Expansions written by Rabi N. Bhattacharya and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-11 with Mathematics categories.
-Fourier analysis, --
Normal Approximation And Asymptotic Expansions
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Author : Rabindra Nath Bhattacharya
language : en
Publisher:
Release Date : 1986
Normal Approximation And Asymptotic Expansions written by Rabindra Nath Bhattacharya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Asymptotic expansions categories.
Although this was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques such as the bootstrap, the efficacy of which can be ascertained by asymptotic expansions. This also is the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry-Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions.
Normal Approximation And Asymptotic Expansions
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Author : Rabi N. Bhattacharya
language : en
Publisher: John Wiley & Sons
Release Date : 1976-04-05
Normal Approximation And Asymptotic Expansions written by Rabi N. Bhattacharya and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-04-05 with Mathematics categories.
Weak convergence of probability measures and uniformity classes; Fourier transforms and expansions of characteristic functions; Bounds for errors of normal approximation; Asymptotic expansions-nonlattice distributions; Asymptotic expansions - lattice distributions.
Matched Asymptotic Expansions And Singular Perturbations
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26
Matched Asymptotic Expansions And Singular Perturbations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
Matched Asymptotic Expansions and Singular Perturbations
Expansions And Asymptotics For Statistics
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Author : Christopher G. Small
language : en
Publisher: CRC Press
Release Date : 2010-05-07
Expansions And Asymptotics For Statistics written by Christopher G. Small and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-07 with Mathematics categories.
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 asymptoti
Asymptotic Approximations For Probability Integrals
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Author : Karl W. Breitung
language : en
Publisher: Springer
Release Date : 2006-11-14
Asymptotic Approximations For Probability Integrals written by Karl W. Breitung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Technology & Engineering categories.
This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional normal integrals. Here the relation between the differential geometry of the boundary of the integration domain and the asymptotic probability content is derived. One of the most important applications of these methods is in structural reliability. Engineers working in this field will find here a complete outline of asymptotic approximation methods for failure probability integrals.
Asymptotic Expansions And The Deficiency Concept In Statistics
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Author : W. Albers
language : en
Publisher:
Release Date : 1974
Asymptotic Expansions And The Deficiency Concept In Statistics written by W. Albers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Asymptotic expansions categories.
Small Sample Asymptotics
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Author : Christopher A. Field
language : en
Publisher: IMS
Release Date : 1990
Small Sample Asymptotics written by Christopher A. Field and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematical statistics categories.
Asymptotic Techniques For Use In Statistics
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Author : O. E. Barndorff-Nielsen
language : en
Publisher: Springer
Release Date : 1989-03
Asymptotic Techniques For Use In Statistics written by O. E. Barndorff-Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03 with Mathematics categories.
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 principle but difficult to implement. The second role is to yield higher-order expansions from which the accuracy of simple approximations may be assessed and where necessary improved. Thirdly the systematic development of a theoretical approach to statistical inference that will apply to quite general families of statistical models demands an asymptotic formulation, as far as possible one that will recover 'exact' results where these are available. The approximate arguments are developed by supposing that some defining quantity, often a sample size but more generally an amount of information, becomes large: it must be stressed that this is a technical device for generating approximations whose adequacy always needs assessing, rather than a 'physical' limiting notion. Of the three roles outlined above, the first two are quite close to the traditional roles of asymptotic expansions in applied mathematics and much ofthe very extensive literature on the asymptotic expansion of integrals and of the special functions of mathematical physics is quite directly relevant, although the recasting of these methods into a probability mould is quite often enlightening.
Asymptotic Expansions For Ordinary Differential Equations
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Author : Wolfgang Wasow
language : en
Publisher: Courier Dover Publications
Release Date : 2018-03-21
Asymptotic Expansions For Ordinary Differential Equations written by Wolfgang Wasow and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-21 with Mathematics categories.
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.