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Author: Bhaskar Kumar Ghosh
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 476
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Book Description
The purpose of this book is to give a systematic account of the mathematical theory in this field as applied to problems of hypothesis testing. The resulting methods are predominantly sequential probability ratio tests. A brief account of classical tests under the neyman-pearson formulation is included. The notion of sequential analysis has been used in some form or other in various branches of statistical inference. We may classify these branches into three broad categories: Statistical tests of hypotheses, statistical estimation, and statistical decision theory.
Author: Bhaskar Kumar Ghosh
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 476
Get Book Here
Book Description
The purpose of this book is to give a systematic account of the mathematical theory in this field as applied to problems of hypothesis testing. The resulting methods are predominantly sequential probability ratio tests. A brief account of classical tests under the neyman-pearson formulation is included. The notion of sequential analysis has been used in some form or other in various branches of statistical inference. We may classify these branches into three broad categories: Statistical tests of hypotheses, statistical estimation, and statistical decision theory.
Author: Samuel Kotz
Publisher: Springer Science & Business Media
ISBN: 1461206677
Category : Mathematics
Languages : en
Pages : 576
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Book Description
Volume III includes more selections of articles that have initiated fundamental changes in statistical methodology. It contains articles published before 1980 that were overlooked in the previous two volumes plus articles from the 1980's - all of them chosen after consulting many of today's leading statisticians.
Author: Linda J. Young
Publisher: Springer Science & Business Media
ISBN: 1475728298
Category : Science
Languages : en
Pages : 581
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Book Description
Covering a wide range of disciplines, this book explains the formulae, techniques, and methods used in field ecology. By providing an awareness of the statistical foundation for existing methods, the book will make biologists more aware of the strengths and possible weaknesses of procedures employed, and statisticians more appreciative of the needs of the field ecologist. Unique to this book is a focus on ecological data for single-species populations, from sampling through modeling. Examples come from real situations in pest management, forestry, wildlife biology, plant protection, and environmental studies, as well as from classical ecology. All those using this book will acquire a strong foundation in the statistical methods of modern ecological research. This textbook is for late undergraduate and graduate students, and for professionals.
Author: Abraham Wald
Publisher: Courier Corporation
ISBN: 0486783235
Category : Mathematics
Languages : en
Pages : 228
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Book Description
The first to solve the general problem of sequential tests of statistical hypotheses, the author of this text explains his revolutionary theory of the sequential probability ratio test and its applications. 1947 edition.
Author: David Siegmund
Publisher: Springer Science & Business Media
ISBN: 1475718624
Category : Mathematics
Languages : en
Pages : 285
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Book Description
The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II. The develop ments were admirably summarized by their principal architect, A. Wald, in his book Sequential Analysis (1947). In spite of the extraordinary accomplishments of this period, there remained some dissatisfaction with the sequential probability ratio test and Wald's analysis of it. (i) The open-ended continuation region with the concomitant possibility of taking an arbitrarily large number of observations seems intol erable in practice. (ii) Wald's elegant approximations based on "neglecting the excess" of the log likelihood ratio over the stopping boundaries are not especially accurate and do not allow one to study the effect oftaking observa tions in groups rather than one at a time. (iii) The beautiful optimality property of the sequential probability ratio test applies only to the artificial problem of testing a simple hypothesis against a simple alternative. In response to these issues and to new motivation from the direction of controlled clinical trials numerous modifications of the sequential probability ratio test were proposed and their properties studied-often by simulation or lengthy numerical computation. (A notable exception is Anderson, 1960; see III.7.) In the past decade it has become possible to give a more complete theoretical analysis of many of the proposals and hence to understand them better.
Author: Alexander Tartakovsky
Publisher: CRC Press
ISBN: 1439838216
Category : Mathematics
Languages : en
Pages : 600
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Book Description
Sequential Analysis: Hypothesis Testing and Changepoint Detection systematically develops the theory of sequential hypothesis testing and quickest changepoint detection. It also describes important applications in which theoretical results can be used efficiently. The book reviews recent accomplishments in hypothesis testing and changepoint detecti
Author: B.K. Ghosh
Publisher: CRC Press
ISBN: 9780824784089
Category : Mathematics
Languages : en
Pages : 672
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Book Description
Sequential analysis refers to the body of statistical theory and methods where the sample size may depend in a random manner on the accumulating data. A formal theory in which optimal tests are derived for simple statistical hypotheses in such a framework was developed by Abraham Wald in the early 1
Author: Alexander Tartakovsky
Publisher: CRC Press
ISBN: 1498757596
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Statistical methods for sequential hypothesis testing and changepoint detection have applications across many fields, including quality control, biomedical engineering, communication networks, econometrics, image processing, security, etc. This book presents an overview of methodology in these related areas, providing a synthesis of research from the last few decades. The methods are illustrated through real data examples, and software is referenced where possible. The emphasis is on providing all the theoretical details in a unified framework, with pointers to new research directions.
Author: Phillip Good
Publisher: Springer Science & Business Media
ISBN: 1475723466
Category : Mathematics
Languages : en
Pages : 238
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Book Description
A step-by-step guide to the application of permutation tests in biology, medicine, science, and engineering. The intuitive and informal style makes this manual ideally suitable for students and researchers approaching these methods for the first time. In particular, it shows how to handle the problems of missing and censored data, nonresponders, after-the-fact covariates, and outliers.
Author: Neil Burdess
Publisher: SAGE Publications Ltd
ISBN: 1446200094
Category : Social Science
Languages : en
Pages : 202
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Book Description
Statistics: A Short, Clear Guide is an accessible, humorous and easy introduction to statistics for social science students. In this refreshing book, experienced author and academic Neil Burdess shows that statistics are not the result of some mysterious "black magic", but rather the result of some very basic arithmetic. Getting rid of confusing x′s and y′s, he shows that it′s the intellectual questions that come before and after the calculations that are important: (i) What are the best statistics to use with your data? and (ii) What do the calculated statistics tell you? Statistics: A Short, Clear Guide aims to help students make sense of the logic of statistics and to decide how best to use statistics to analyse their own data. What′s more, it is not reliant on students having access to any particular kind of statistical software package. This is a very useful book for any student in the social sciences doing a statistics course or needing to do statistics for themselves for the first time.
