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Higher Order Asymptotics


Higher Order Asymptotics
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Higher Order Asymptotics


Higher Order Asymptotics
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Author : J. K. Ghosh
language : en
Publisher: IMS
Release Date : 1994

Higher Order Asymptotics written by J. K. Ghosh and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.




Higher Order Asymptotic Theory For Time Series Analysis


Higher Order Asymptotic Theory For Time Series Analysis
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Author : Masanobu Taniguchi
language : en
Publisher:
Release Date : 1991

Higher Order Asymptotic Theory For Time Series Analysis written by Masanobu Taniguchi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Asymptotic distribution (Probability theory) categories.




Higher Order Asymptotics For Simple Linear Rank Statistics


Higher Order Asymptotics For Simple Linear Rank Statistics
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Author : R. J. M. M. Does
language : en
Publisher:
Release Date : 1982

Higher Order Asymptotics For Simple Linear Rank Statistics written by R. J. M. M. Does and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Asymptotic expansions categories.




Asymptotic Efficiency Of Statistical Estimators Concepts And Higher Order Asymptotic Efficiency


Asymptotic Efficiency Of Statistical Estimators Concepts And Higher Order Asymptotic Efficiency
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Author : Masafumi Akahira
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Efficiency Of Statistical Estimators Concepts And Higher Order Asymptotic Efficiency written by Masafumi Akahira 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.


This monograph is a collection of results recently obtained by the authors. Most of these have been published, while others are awaitlng publication. Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists here a whole class of asymptotically efficient estimators which are thus asymptotically equivalent to the MLE. It is required to make finer distinctions among the estimators, by considering higher order terms in the expansions of their asymptotic distributions. Secondly, we discuss asymptotically efficient estimators in non regular situations. These are situations where the MLE or other estimators are not asymptotically normally distributed, or where l 2 their order of convergence (or consistency) is not n / , as in the regular cases. It is necessary to redefine the concept of asympto tic efficiency, together with the concept of the maximum order of consistency. Under the new definition as asymptotically efficient estimator may not always exist. We have not attempted to tell the whole story in a systematic way. The field of asymptotic theory in statistical estimation is relatively uncultivated. So, we have tried to focus attention on such aspects of our recent results which throw light on the area.



Asymptotics Of High Order Differential Equations


Asymptotics Of High Order Differential Equations
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Author : R. B. Paris
language : en
Publisher: Longman
Release Date : 1986

Asymptotics Of High Order Differential Equations written by R. B. Paris and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Asymptotic expansions categories.




Probability Matching Priors


Probability Matching Priors
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Author : Gauri Sankar Datta
language : en
Publisher:
Release Date : 2004-01-01

Probability Matching Priors written by Gauri Sankar Datta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with categories.




Probability Matching Priors Higher Order Asymptotics


Probability Matching Priors Higher Order Asymptotics
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Author : Gauri Sankar Datta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probability Matching Priors Higher Order Asymptotics written by Gauri Sankar Datta 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.


This is the first book on the topic of probability matching priors. It targets researchers, Bayesian and frequentist; graduate students in Statistics.



Inference And Asymptotics


Inference And Asymptotics
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Author : D.R. Cox
language : en
Publisher: Routledge
Release Date : 2017-10-19

Inference And Asymptotics written by D.R. Cox and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.


Our book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.



Higher Order Asymptotics For Linear Rank Statistics


Higher Order Asymptotics For Linear Rank Statistics
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Author : R. J. M. M. Does
language : en
Publisher:
Release Date : 1982

Higher Order Asymptotics For Linear Rank Statistics written by R. J. M. M. Does and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




Inference And Asymptotics


Inference And Asymptotics
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Author : D.R. Cox
language : en
Publisher: Routledge
Release Date : 2017-10-19

Inference And Asymptotics written by D.R. Cox and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.


Our book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.