Theory Of Point Estimation
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Theory Of Point Estimation
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Author : Erich L. Lehmann
language : en
Publisher: Springer
Release Date : 1991-06-27
Theory Of Point Estimation written by Erich L. Lehmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-27 with Juvenile Nonfiction categories.
This book is concerned with point estimation in Euclidean sample spaces. The first four chapters deal with exact (small-sample) theory, and their approach and organization parallel those of the companion volume, Testing Statistical Hypotheses (TSH). Optimal estimators are derived accord ing to criteria such as unbiasedness, equivariance, and minimaxity, and the material is organized around these criteria. The principal applications are to exponential and group families, and the systematic discussion of the rich body of (relatively simple) statistical problems that fall under these headings constitutes a second major theme of the book. A theory of much wider applicability is obtained by adopting a large sample approach. The last two chapters are therefore devoted to large-sam ple theory, with Chapter 5 providing a fairly elementary introduction to asymptotic concepts and tools. Chapter 6 establishes the asymptotic ef ficiency, in sufficiently regular cases, of maximum likelihood and related estimators, and of Bayes estimators, and presents a brief introduction to the local asymptotic optimality theory of Hajek and LeCam. Even in these two chapters, however, attention is restricted to Euclidean sample spaces, so that estimation in sequential analysis, stochastic processes, and function spaces, in particular, is not covered.
Theory Of Point Estimation
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Author : Lehmann E L
language : en
Publisher:
Release Date : 1983
Theory Of Point Estimation written by Lehmann E L and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Theory Of Point Estimation
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Author : Erich Leo Lehmann
language : en
Publisher:
Release Date : 1983
Theory Of Point Estimation written by Erich Leo Lehmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Fix-point estimation categories.
Theory Of Point Estimation
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Author :
language : en
Publisher:
Release Date : 1999
Theory Of Point Estimation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Notes On The Theory Of Point Estimation
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Author : E.L. Lehmann
language : en
Publisher:
Release Date : 1950
Notes On The Theory Of Point Estimation written by E.L. Lehmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with categories.
Point Estimation Of Root Finding Methods
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Author : Miodrag Petkovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-29
Point Estimation Of Root Finding Methods written by Miodrag Petkovic 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 2008-05-29 with Mathematics categories.
This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.
Selected Works Of E L Lehmann
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Author : Javier Rojo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-16
Selected Works Of E L Lehmann written by Javier Rojo 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 2012-01-16 with Mathematics categories.
These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.
Unbiased Estimators And Their Applications
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Author : V.G. Voinov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Unbiased Estimators And Their Applications written by V.G. Voinov 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 Business & Economics categories.
Statistical inferential methods are widely used in the study of various physical, biological, social, and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation, this volume is the first to be devoted solely to the problem of unbiased estimation. It contains three chapters dealing, respectively, with the theory of point statistical estimation, techniques for constructing unbiased estimators, and applications of unbiased estimation theory. These chapters are followed by a comprehensive appendix which classifies and lists, in the form of tables, all known results relating to unbiased estimators of parameters for univariate distributions. About one thousand minimum variance unbiased estimators are listed. The volume also contains numerous examples and exercises. This volume will serve as a handbook on point unbiased estimation for researchers whose work involves statistics. It can also be recommended as a supplementary text for graduate students.
International Encyclopedia Of Statistical Science
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Author : Miodrag Lovric
language : en
Publisher: Springer Nature
Release Date : 2025-06-19
International Encyclopedia Of Statistical Science written by Miodrag Lovric and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-19 with Mathematics categories.
The International Encyclopedia of Statistical Science stands as a monumental effort to enrich statistics education globally, particularly in regions facing educational challenges. By amalgamating the expertise of over 700 authors from 110 countries, including Nobel Laureates and presidents of statistical societies, it offers an unparalleled resource for readers worldwide. This encyclopedia is not just a collection of entries; it is a concerted effort to revive statistics as a vibrant, critical field of study and application. Providing a comprehensive and accessible account of statistical terms, methods, and applications, it enables readers to gain a quick insight into the subject, regardless of their background. This work serves to refresh and expand the knowledge of researchers, managers, and practitioners, highlighting the relevance and applicability of statistics across various fields, from economics and business to healthcare and public policy. Furthermore, it aims to inspire students by demonstrating the significance of statistics in solving real-world problems, thus encouraging a new generation to explore and contribute to the field.
Principles Of Statistics
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Author : M. G. Bulmer
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Principles Of Statistics written by M. G. Bulmer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Concise description of classical statistics, from basic dice probabilities to modern regression analysis. Equal stress on theory and applications. Moderate difficulty; only basic calculus required. Includes problems with answers.