Asymptotic Theory Of Statistics And Probability


Asymptotic Theory Of Statistics And Probability
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Asymptotic Theory Of Statistics And Probability


Asymptotic Theory Of Statistics And Probability
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Author : Anirban DasGupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-06

Asymptotic Theory Of Statistics And Probability written by Anirban DasGupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-06 with Mathematics categories.


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.



Asymptotic Theory Of Statistical Inference


Asymptotic Theory Of Statistical Inference
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Author : B. L. S. Prakasa Rao
language : en
Publisher:
Release Date : 1987-01-16

Asymptotic Theory Of Statistical Inference written by B. L. S. Prakasa Rao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-16 with Mathematics categories.


Probability and stochastic processes; Limit theorems for some statistics; Asymptotic theory of estimation; Linear parametric inference; Martingale approach to inference; Inference in nonlinear regression; Von mises functionals; Empirical characteristic function and its applications.



Asymptotic Theory In Probability And Statistics With Applications


Asymptotic Theory In Probability And Statistics With Applications
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Author : T. L. Lai
language : en
Publisher:
Release Date : 2008

Asymptotic Theory In Probability And Statistics With Applications written by T. L. Lai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


Presents a collection of 18 papers, many of which are surveys, on asymptotic theory in probability and statistics, with applications to a variety of problems. This volume comprises three parts: limit theorems, statistics and applications, and mathematical finance and insurance. It is suitable for graduate students in probability and statistics.



Asymptotics In Statistics


Asymptotics In Statistics
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Author : Lucien Le Cam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotics In Statistics written by Lucien Le Cam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In the summer of 1968 one of the present authors (LLC) had the pleasure of giving a sequence of lectures at the University of Mon treal. Lecture notes were collected and written out by Drs. Catherine Doleans, Jean Haezendonck and Roch Roy. They were published in French by the Presses of the University of Montreal as part of their series of Seminaires de Mathematiques Superieures. Twenty years later it was decided that a Chinese translation could be useful, but upon prodding by Professor Shanti Gupta at Purdue we concluded that the notes should be updated and rewritten in English and in Chinese. The present volume is the result of that effort. We have preserved the general outline of the lecture notes, but we have deleted obsolete material and sketched some of the results acquired during the past twenty years. This means that while the original notes concentrated on the LAN situation we have included here some results of Jeganathan and others on the LAMN case. Also included are versions of the Hajek-Le Cam asymptotic minimax and convolution theorems with some of their implications. We have not attempted to give complete coverage of the subject and have often stated theorems without indicating their proofs.



Statistical Experiments And Decisions


Statistical Experiments And Decisions
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Author : Al?bert Nikolaevich Shiri?aev
language : en
Publisher: World Scientific
Release Date : 2000

Statistical Experiments And Decisions written by Al?bert Nikolaevich Shiri?aev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.



Asymptotic Theory Of Testing Statistical Hypotheses


Asymptotic Theory Of Testing Statistical Hypotheses
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Author : Vladimir E. Bening
language : en
Publisher: Walter de Gruyter
Release Date : 2011-08-30

Asymptotic Theory Of Testing Statistical Hypotheses written by Vladimir E. Bening and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.


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.



Asymptotic Theory Of Statistical Inference For Time Series


Asymptotic Theory Of Statistical Inference For Time Series
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Author : Masanobu Taniguchi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Theory Of Statistical Inference For Time Series written by Masanobu Taniguchi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The primary aim of this book is to provide modern statistical techniques and theory for stochastic processes. The stochastic processes mentioned here are not restricted to the usual AR, MA, and ARMA processes. A wide variety of stochastic processes, including non-Gaussian linear processes, long-memory processes, nonlinear processes, non-ergodic processes and diffusion processes are described. The authors discuss estimation and testing theory and many other relevant statistical methods and techniques.



A First Course In Asymptotic Theory Of Statistics


A First Course In Asymptotic Theory Of Statistics
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Author : T. K. Chandra
language : en
Publisher: Alpha Science International, Limited
Release Date : 1999-01-01

A First Course In Asymptotic Theory Of Statistics written by T. K. Chandra and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.


Starting with elementary notions of calculus, statistics and probability, the author introduces in this book the basic results of asymptotic theory through intuitive and motivated approaches with excellent exposure to various problems. Many theoretical and numerical examples have been worked out along with results that are not available in other books.



Inference And Asymptotics


Inference And Asymptotics
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Author : D.R. Cox
language : en
Publisher: CRC Press
Release Date : 1994-03-01

Inference And Asymptotics written by D.R. Cox and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-01 with Mathematics categories.


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 this field, which is still vigorously expanding. Conditioning and ancillarity underlie the p*-formula, a key formula for the conditional density of the maximum likelihood estimator, given an ancillary statistic. Various types of pseudo-likelihood are discussed, including profile and partial likelihoods. Special emphasis is given to modified profile likelihood and modified directed likelihood, and their intimate connection with the p*-formula. Among the other concepts and tools employed are sufficiency, parameter orthogonality, invariance, stochastic expansions and saddlepoint approximations. Brief reviews are given of the most important properties of exponential and transformation models and these types of model are used as test-beds for the general asymptotic theory. A final chapter briefly discusses a number of more general issues, including prediction and randomization theory. The emphasis is on ideas and methods, and detailed mathematical developments are largely omitted. There are numerous notes and exercises, many indicating substantial further results.



Elements Of Modern Asymptotic Theory With Statistical Applications


Elements Of Modern Asymptotic Theory With Statistical Applications
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Author : Brendan McCabe
language : en
Publisher: Manchester University Press
Release Date : 1993

Elements Of Modern Asymptotic Theory With Statistical Applications written by Brendan McCabe and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Estimation theory categories.