Decomposition Factorization And Invariance Of Measures With A View To Applications In Statistics
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Parametric Statistical Models And Likelihood
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Author : Ole E Barndorff-Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Parametric Statistical Models And Likelihood written by Ole E Barndorff-Nielsen 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 book is a slightly revised and expanded version of a set I I I of notes used for a lecture series given at the Ecole dlEte de I Probabilites at st. Flour in August 1986. In view of the statistical nature of the material discussed herein it was agreed to publish the material as a separate volume in the statistics series rather than, as is the tradition, in a joint volume in the Lecture Notes in Mathematics Series. It is a genuine pleasure to have this opportunity to thank I I I the organizers of Les Ecoles dlEte, and in particular Professor P. -L. Hennequin, for the excellent arrangements of these Summer Schools which form a very significant forum for the exchange of scientific ideas relating to probability. The efficient, careful and patient preparation of the typescript by Oddbj~rg Wethelund is also gratefully acknowledged. Aarhus, June 1988 O. E. Barndorff-Nielsen Parametric statistical Models and Likelihood O. E. Barndorff-Nielsen o. Introduction 0. 1. Outline of contents 1 0. 2. A few preliminaries 2 1. Likelihood and auxiliary statistics 1. 1. Likelihood 4 1. 2. Moments and cumulants of log likelihood derivatives 10 1. 3. Parametrization invariance 13 1. 4. Marginal and conditional likelihood 15 * 1. 5. Combinants, auxiliaries, and the p -model 19 1. 6. Orthogonal parameters 27 1. 7. Pseudo likelihood, profile likelihood and modified 30 profile likelihood 1. 8. Ancillarity and conditionality 33 41 1. 9. Partial sufficiency and partial ancillarity 1. 10.
Decomposition Factorization And Invariance Of Measures With A View To Applications In Statistics
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Author : Ole E. Barndorff-Nielsen
language : en
Publisher:
Release Date : 1985
Decomposition Factorization And Invariance Of Measures With A View To Applications In Statistics written by Ole E. Barndorff-Nielsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Decomposition (Mathematics) categories.
Contributions To Probability And Statistics In Honour Of Gunnar Blom
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Author : Jan Lanke
language : en
Publisher:
Release Date : 1985
Contributions To Probability And Statistics In Honour Of Gunnar Blom written by Jan Lanke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematical statistics categories.
Memoirs
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Author : Ole Barndorff-Nielsen
language : en
Publisher:
Release Date : 1985
Memoirs written by Ole Barndorff-Nielsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Memoirs
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Author : Ole Barndorff-Nielsen
language : en
Publisher:
Release Date : 1985
Memoirs written by Ole Barndorff-Nielsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
International Books In Print
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Author :
language : en
Publisher:
Release Date : 1997
International Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with English imprints categories.
Analele Tiin Ifice Ale Universit Ii Al I Cuza Din Ia I
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Author : Universitatea "Al. I. Cuza" din Iași
language : en
Publisher:
Release Date : 1987
Analele Tiin Ifice Ale Universit Ii Al I Cuza Din Ia I written by Universitatea "Al. I. Cuza" din Iași and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
An Introduction To Measure Theory
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Author : Terence Tao
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-03
An Introduction To Measure Theory written by Terence Tao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-03 with Education categories.
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Invariant Measures On Groups And Their Use In Statistics
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Author : Robert A. Wijsman
language : en
Publisher: IMS
Release Date : 1990
Invariant Measures On Groups And Their Use In Statistics written by Robert A. Wijsman 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 Mathematics categories.
Nonnegative Matrix And Tensor Factorizations
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Author : Andrzej Cichocki
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-10
Nonnegative Matrix And Tensor Factorizations written by Andrzej Cichocki 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 2009-07-10 with Science categories.
This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used as tools in signal and image processing, and data analysis, having garnered interest due to their capability to provide new insights and relevant information about the complex latent relationships in experimental data sets. It is suggested that NMF can provide meaningful components with physical interpretations; for example, in bioinformatics, NMF and its extensions have been successfully applied to gene expression, sequence analysis, the functional characterization of genes, clustering and text mining. As such, the authors focus on the algorithms that are most useful in practice, looking at the fastest, most robust, and suitable for large-scale models. Key features: Acts as a single source reference guide to NMF, collating information that is widely dispersed in current literature, including the authors’ own recently developed techniques in the subject area. Uses generalized cost functions such as Bregman, Alpha and Beta divergences, to present practical implementations of several types of robust algorithms, in particular Multiplicative, Alternating Least Squares, Projected Gradient and Quasi Newton algorithms. Provides a comparative analysis of the different methods in order to identify approximation error and complexity. Includes pseudo codes and optimized MATLAB source codes for almost all algorithms presented in the book. The increasing interest in nonnegative matrix and tensor factorizations, as well as decompositions and sparse representation of data, will ensure that this book is essential reading for engineers, scientists, researchers, industry practitioners and graduate students across signal and image processing; neuroscience; data mining and data analysis; computer science; bioinformatics; speech processing; biomedical engineering; and multimedia.