Download or read book The Sequential Statistical Analysis of Hypothesis Testing Point and Interval Estimation and Decision Theory written by Z. Govindarajulu and published by . This book was released on 1981 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sequential probability ratio test; Sequential tests for composite hyphoteses; Sequential estimation; Specific problems in sequential estimation; Optimal stopping problem: the secretary problem.
Download or read book Sequential Analysis written by Alexander Tartakovsky and published by CRC Press. This book was released on 2014-08-27 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Sequential Analysis written by Abraham Wald and published by Courier Corporation. This book was released on 2004-06-10 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inventor of a statistical inference system book describes his system and its applications. Discusses the general theory of the sequential probability ratio test, with comparisons to traditional statistical inference systems; applications that illustrate the general theory and of theoretical interest specific to these applications; possible approaches to the problem of sequential multi-valued decisions and estimation.
Download or read book Unified Hypothesis Testing Point Estimation and Interval Estimation for Group Sequential Trials written by Jason Daniel Grossman and published by . This book was released on 1992 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sequential Tests of Statistical Hypotheses written by Bhaskar Kumar Ghosh and published by . This book was released on 1970 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book STATISTICAL INFERENCE written by M. RAJAGOPALAN and published by PHI Learning Pvt. Ltd.. This book was released on 2012-07-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a text for the postgraduate students of statistics, this well-written book gives a complete coverage of Estimation theory and Hypothesis testing, in an easy-to-understand style. It is the outcome of the authors’ teaching experience over the years. The text discusses absolutely continuous distributions and random sample which are the basic concepts on which Statistical Inference is built up, with examples that give a clear idea as to what a random sample is and how to draw one such sample from a distribution in real-life situations. It also discusses maximum-likelihood method of estimation, Neyman’s shortest confidence interval, classical and Bayesian approach. The difference between statistical inference and statistical decision theory is explained with plenty of illustrations that help students obtain the necessary results from the theory of probability and distributions, used in inference.
Download or read book Probability and Statistical Inference written by Miltiadis C. Mavrakakis and published by CRC Press. This book was released on 2021-03-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the statistical methods used in their fields.
Download or read book Statistical Hypothesis Testing written by Ning-Zhong Shi and published by World Scientific. This book was released on 2008 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.
Download or read book Testing Statistical Hypotheses written by Erich Leo Lehmann and published by John Wiley & Sons. This book was released on 1959 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory of hypotheses testing and of estimation by confidence intervals.
Download or read book Applied Sequential Methodologies written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 2004-01-28 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: A technically precise yet clear presentation of modern sequential methodologies having immediate applications to practical problems in the real world, Applied Sequential Methodologies communicates invaluable techniques for data mining, agricultural science, genetics, computer simulation, finance, clinical trials, sonar signal detection, randomizati
Download or read book Inferential Statistics written by K.S. Kushwaha and published by New India Publishing Agency. This book was released on 2016-10-18 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book entitled “Inferential Statistics” has been designed for all P.G. and Ph.D. students of “Pure Statistics” and Agricultural Statistics and for those who have to appear in competitive examinations of I.S.S., I.E.S., state’s PS.C and IAS. This book is also useful for faculties of “Department of Statistics” of all universities. The book is the outcome of 30 years of teaching experience of U.G., P.G. and Ph.D. students of different disciplines of Agriculture, Agril. Engg. and Agril Statistics in J.N.K.V.V., Jabalpur. The content of the book covers the syllabus on the topic “Statistical Inference.” The book contains 9 chapters out of which Chapters (1-2) deals with the “Point Estimation”, (3) Interval estimation, (4-5) Test of hypothesis, (6) Sequential statistics, (7) Decision theory, (8) Linear estimation and (9) Theory of ordered statistics.
Download or read book An Essay on the Theory of Testing Statistical Hypotheses written by Norman Morse and published by . This book was released on 1953 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analysis of an Approximate Sequential Procedure for Interval Estimation written by D. A. Walters and published by . This book was released on 1963 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents an approximate sequential method of interval estimation suitable for hypothesis testing in current research in artificial intelligence, a study of its properties, and a method of choosing parameter values to maximize its effectiveness. Relationships were found between the parameters of the procedure and its significant properties, including the probabilities of the two types of error and the expected number of samples required by the process. Several sets of parameters were chosen. (Author).
Download or read book Robust and Distributed Hypothesis Testing written by Gökhan Gül and published by Springer. This book was released on 2017-03-08 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book generalizes and extends the available theory in robust and decentralized hypothesis testing. In particular, it presents a robust test for modeling errors which is independent from the assumptions that a sufficiently large number of samples is available, and that the distance is the KL-divergence. Here, the distance can be chosen from a much general model, which includes the KL-divergence as a very special case. This is then extended by various means. A minimax robust test that is robust against both outliers as well as modeling errors is presented. Minimax robustness properties of the given tests are also explicitly proven for fixed sample size and sequential probability ratio tests. The theory of robust detection is extended to robust estimation and the theory of robust distributed detection is extended to classes of distributions, which are not necessarily stochastically bounded. It is shown that the quantization functions for the decision rules can also be chosen as non-monotone. Finally, the book describes the derivation of theoretical bounds in minimax decentralized hypothesis testing, which have not yet been known. As a timely report on the state-of-the-art in robust hypothesis testing, this book is mainly intended for postgraduates and researchers in the field of electrical and electronic engineering, statistics and applied probability. Moreover, it may be of interest for students and researchers working in the field of classification, pattern recognition and cognitive radio.
Download or read book Statistical Hypothesis Testing in Context Volume 52 written by Michael P. Fay and published by Cambridge University Press. This book was released on 2022-05-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fay and Brittain present statistical hypothesis testing and compatible confidence intervals, focusing on application and proper interpretation. The emphasis is on equipping applied statisticians with enough tools - and advice on choosing among them - to find reasonable methods for almost any problem and enough theory to tackle new problems by modifying existing methods. After covering the basic mathematical theory and scientific principles, tests and confidence intervals are developed for specific types of data. Essential methods for applications are covered, such as general procedures for creating tests (e.g., likelihood ratio, bootstrap, permutation, testing from models), adjustments for multiple testing, clustering, stratification, causality, censoring, missing data, group sequential tests, and non-inferiority tests. New methods developed by the authors are included throughout, such as melded confidence intervals for comparing two samples and confidence intervals associated with Wilcoxon-Mann-Whitney tests and Kaplan-Meier estimates. Examples, exercises, and the R package asht support practical use.
Download or read book Sample Size Choice written by Robert E. Odeh and published by CRC Press. This book was released on 1991-08-14 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to testing statistical hypotheses for readers familiar with the Neyman-Pearson theory of hypothesis testing including the notion of power, the general linear hypothesis (multiple regression) problem, and the special case of analysis of variance. The second edition (date of first not mentione
Download or read book Tables for the Use of Range and Studentized Range in Tests of Hypotheses written by H. Leon Harter and published by CRC Press. This book was released on 1997-10-27 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion volume to the authors' previous well-received work, the CRC Handbook of Tables for the Use of Order Statistics in Estimation, this handbook discusses testing whether a hypothesis is true or false. Together, these volumes are your complete reference to theory and important tables relating to order statistics and their applications. Once a researcher completes an experiment, the resulting data is assumed to have come from a normal distribution with its mean and variance unknown. The researcher is then presented with a hypothesis testing problem. The use of order statistics and related functions offers a simple, powerful, and interesting approach to solving this problem. This volume presents an introduction to the use of order statistics and explains the various problems and their applications. The role of order statistics in solving these problems is examined, several important statistics are introduced, and their use in addressing testing of hypothesis problems is highlighted. The book also includes numerous tables that facilitate the methods of hypothesis testing using order statistics. Examples are given of the use of these tables in multiple comparison tests, with attention to error rates and sample sizes, and in the analog range of analysis of variance.
