Statistical Estimation For Truncated Exponential Families
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Statistical Estimation For Truncated Exponential Families
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Author : Masafumi Akahira
language : en
Publisher: Springer
Release Date : 2017-07-26
Statistical Estimation For Truncated Exponential Families written by Masafumi Akahira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Mathematics categories.
This book presents new findings on nonregular statistical estimation. Unlike other books on this topic, its major emphasis is on helping readers understand the meaning and implications of both regularity and irregularity through a certain family of distributions. In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. This focus includes the (truncated) Pareto distribution, which is widely used in various fields such as finance, physics, hydrology, geology, astronomy, and other disciplines. The family is essential in that it links both regular and nonregular distributions, as it becomes a regular exponential family if the truncation parameter is known. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter. In order to obtain more information on the truncation, the Bayesian approach is also considered. Further, the application to some useful truncated distributions is discussed. The illustrated clarification of the nonregular structure provides researchers and practitioners with a solid basis for further research and applications.
Statistical Distributions In Scientific Work
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Author : Charles Taillie
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Statistical Distributions In Scientific Work written by Charles Taillie 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.
Proceedings of the NATO Advanced Study Institute, Trieste, Italy, July 10-August 1, 1980
Multivariate Exponential Families A Concise Guide To Statistical Inference
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Author : Stefan Bedbur
language : en
Publisher: Springer Nature
Release Date : 2021-10-07
Multivariate Exponential Families A Concise Guide To Statistical Inference written by Stefan Bedbur and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-07 with Mathematics categories.
This book provides a concise introduction to exponential families. Parametric families of probability distributions and their properties are extensively studied in the literature on statistical modeling and inference. Exponential families of distributions comprise density functions of a particular form, which enables general assertions and leads to nice features. With a focus on parameter estimation and hypotheses testing, the text introduces the reader to distributional and statistical properties of multivariate and multiparameter exponential families along with a variety of detailed examples. The material is widely self-contained and written in a mathematical setting. It may serve both as a concise, mathematically rigorous course on exponential families in a systematic structure and as an introduction to Mathematical Statistics restricted to the use of exponential families.
Analysis Of Doubly Truncated Data
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Author : Achim Dörre
language : en
Publisher: Springer
Release Date : 2019-05-13
Analysis Of Doubly Truncated Data written by Achim Dörre and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-13 with Mathematics categories.
This book introduces readers to statistical methodologies used to analyze doubly truncated data. The first book exclusively dedicated to the topic, it provides likelihood-based methods, Bayesian methods, non-parametric methods, and linear regression methods. These procedures can be used to effectively analyze continuous data, especially survival data arising in biostatistics and economics. Because truncation is a phenomenon that is often encountered in non-experimental studies, the methods presented here can be applied to many branches of science. The book provides R codes for most of the statistical methods, to help readers analyze their data. Given its scope, the book is ideally suited as a textbook for students of statistics, mathematics, econometrics, and other fields.
Statistical Modelling By Exponential Families
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Author : Rolf Sundberg
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-29
Statistical Modelling By Exponential Families written by Rolf Sundberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-29 with Business & Economics categories.
A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.
Fundamentals Of Statistical Exponential Families
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Author : Lawrence D. Brown
language : en
Publisher: IMS
Release Date : 1986
Fundamentals Of Statistical Exponential Families written by Lawrence D. Brown and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Business & Economics categories.
Geometric Science Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer Nature
Release Date : 2023-07-31
Geometric Science Of Information written by Frank Nielsen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Computers categories.
This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023. The 125 full papers presented in this volume were carefully reviewed and selected from 161 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.
The Statistical Analysis Of Doubly Truncated Data
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Author : Jacobo de Uña-Álvarez
language : en
Publisher: John Wiley & Sons
Release Date : 2021-11-22
The Statistical Analysis Of Doubly Truncated Data written by Jacobo de Uña-Álvarez 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 2021-11-22 with Medical categories.
A thorough treatment of the statistical methods used to analyze doubly truncated data In The Statistical Analysis of Doubly Truncated Data, an expert team of statisticians delivers an up-to-date review of existing methods used to deal with randomly truncated data, with a focus on the challenging problem of random double truncation. The authors comprehensively introduce doubly truncated data before moving on to discussions of the latest developments in the field. The book offers readers examples with R code along with real data from astronomy, engineering, and the biomedical sciences to illustrate and highlight the methods described within. Linear regression models for doubly truncated responses are provided and the influence of the bandwidth in the performance of kernel-type estimators, as well as guidelines for the selection of the smoothing parameter, are explored. Fully nonparametric and semiparametric estimators are explored and illustrated with real data. R code for reproducing the data examples is also provided. The book also offers: A thorough introduction to the existing methods that deal with randomly truncated data Comprehensive explorations of linear regression models for doubly truncated responses Practical discussions of the influence of bandwidth in the performance of kernel-type estimators and guidelines for the selection of the smoothing parameter In-depth examinations of nonparametric and semiparametric estimators Perfect for statistical professionals with some background in mathematical statistics, biostatisticians, and mathematicians with an interest in survival analysis and epidemiology, The Statistical Analysis of Doubly Truncated Data is also an invaluable addition to the libraries of biomedical scientists and practitioners, as well as postgraduate students studying survival analysis.
Statistical Distribution In Scientific Work
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Author : Charles Taillie
language : en
Publisher: Springer Science & Business Media
Release Date : 1981-09-30
Statistical Distribution In Scientific Work written by Charles Taillie 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 1981-09-30 with Mathematics categories.
Proceedings of the NATO Advanced Study Institute, Trieste, Italy, July 10-August 1, 1980
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1970
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Weights and measures categories.