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Monday, August 10, 2020 | History

4 edition of Sequential tests of statistical hypotheses found in the catalog.

Sequential tests of statistical hypotheses

B. K. Ghosh

Sequential tests of statistical hypotheses

by B. K. Ghosh

  • 275 Want to read
  • 8 Currently reading

Published by Addison-Wesley Pub. Co. in Reading, Mass .
Written in English

    Subjects:
  • Statistical hypothesis testing.,
  • Sequential analysis.

  • Edition Notes

    Bibliography: p. 439-447.

    Statement[by] B. K. Ghosh.
    Classifications
    LC ClassificationsQA277 .G55
    The Physical Object
    Paginationx, 454 p.
    Number of Pages454
    ID Numbers
    Open LibraryOL5756703M
    LC Control Number71119667

    Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search. Quick Search anywhere. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search. Quick search in Citations. Journal Year Volume Issue Page. Search. Advanced .   Title: Sequential Tests of Statistical Hypotheses with Confidence Limits. Authors: Xinjia Chen (Submitted on 24 Jul , last revised 9 Feb (this version, v8)) Abstract: In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules.

    (Group Sequential) test procedures and on alpha-spending functions (Ref: Proshan, Lan and Wittes; ) • GS test procedures for testing multiple hypotheses o Methods based on the Bonferroni inequality o Method based on the CTP (Tang & Geller, ) o The case of testing 2 hypotheses o The general case of testing multiple hypotheses on using the. In addition, this book would be a valuable asset for the library." (B. M. Golam Kibria, Statistical Papers, Vol. 47, ) "Although this third edition has only 45 more pages the change in title suggests a change in focus from mainly dealing with permutation tests to put equal weight on parametric and bootstrap tests of hypotheses. .

    that they may be evaluated by appropriate statistical techniques. There are two hypotheses involved in hypothesis testing Null hypothesis H 0: It is the hypothesis to be tested. Alternative hypothesis H A: It is a statement of what we believe is true if our sample data cause us to reject the null hypothesis Text Book: Basic Concepts and. Condition: New. Paperback. 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 ng may be from multiple locations in the US or from the UK, depending on stock availability. pages.


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Sequential tests of statistical hypotheses by B. K. Ghosh Download PDF EPUB FB2

By a sequential test of a statistical hypothesis is meant any statistical test procedure which gives a specific rule, at any stage of the experiment (at the n -th trial for each integral value of n), for making one of the following three decisions: (1) to accept the hypothesis being tested (null hypothesis), (2) to reject the null hypothesis, (3) to continue the experiment by making an additional by: Sequential Tests of Statistical Hypotheses.

Wald. Full-text: Open access. PDF File ( KB) Article info and citation; First page; Article information. Source Ann.

Math. Statist., Vol Number 2 (), Dates First available in Project Euclid: 28 April. Most statistical work builds on a well-established paradigm. Abraham Wald fully developed and established a new paradigm based on sequential tests of statistical hypotheses.

Although formulated inthe new paradigm was first published as “Sequential Tests of Statistical Hypotheses” in The Annals of Mathematical Statistics in Most statistical work builds on a well-established paradigm. Abraham Wald fully developed and established a new paradigm based on sequential tests of statistical hypotheses.

Although formulated inthe new paradigm was first published as “Sequential Tests of Statistical Hypotheses” in Looks like you do not have access to this content. The book has a chapter on applications to biostatistics and a supplement presenting computer programs for selected sequential procedures.

Identified problems are provided at the end of each chapter. Sample Chapter(s) Chapter 1: Preliminaries ( KB) Request Inspection Copy.

Contents: The Sequential Probability Ratio Test; Tests for Composite. Sequential Tests of Statistical Hypotheses with Confidence Limits It is demonstrated that our proposed testing plans can be substantially more efficient than the sequential probability ratio.

1st Edition. FIRST EDITIONS IN MINT CONDITION AND IN ORIGINAL WRAPS of Abraham Wald’s seminal work on sequential tests of statistical hypotheses.

Before Wald, the traditional style of statistical decision was to posit a hypothesis, make a predetermined number of measurements, then make a decision whether to accept or reject the hypothesis. Sequential analysis From Wikipedia, the free encyclopedia In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance.

Instead data are evaluated as they are collected, and further sampling is stopped. This book discusses as well the theory of sequential tests that is appropriate for distinguishing between two simple or composite hypotheses.

The final chapter deals with the theory of sequential estimation. This book is a valuable resource for graduate students. The sequential probability ratio test embodies this aspect. Wald also showed them how results from “pure” areas of mathematics, particularly probability theory, can be adapted to put statistical inference, in general, on stronger footing without losing sight of its practical nature.

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. edition. 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.

Sequential Tests of Statistical Hypotheses Hardcover – April 1, by B.K. Ghosh (Author) See all 2 formats and editions Hide other formats and editions. Price New from Used from Hardcover "Please retry" $ $ $ Hardcover, Import, April 1, Cited by: In testing statistical hypotheses, as in other statistical problems, we may be confronted with fuzzy concepts.

This paper deals with the problem of testing hypotheses, when the hypotheses are fuzzy and the data are crisp. We first give new definitions for notion of mass (density) probability function with fuzzy parameter, probability of type I and type II errors and then state and prove the.

Additional Physical Format: Online version: Ghosh, B.K. (Bhaskar Kumar), Sequential tests of statistical hypotheses. Reading, Mass., Addison-Wesley Pub. FIRST EDITION S IN MINT CONDITION AND IN ORIGINAL WRAPS of Abraham Wald's seminal work on sequential tests of statistical hypotheses. Before Wald, the traditional style of statistical decision was to posit a hypothesis, make a predetermined number.

These questions, among others in dozens of fields, can be addressed using statistical methods of sequential hypothesis testing and changepoint detection. This book considers sequential changepoint detection for very general non-i.i.d. stochastic models, that is, when the observed data is dependent and non-identically distributed.

The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets.

The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. Amathematical theory of hypothesis testing in which tests.

are derived as solutions of clearly stated optimum problems was developed by Neyman and Pearson in the ’s and since then has been con-siderably extended.

The purpose of the present book is to give a sys-tematic account of this theory and of the closely related theory of con. The book contains over references, and it is impressive that the authors have surveyed the field so well. For anyone working in sequential analysis, this book is a ‘must-buy’ and will probably become the seminal textbook in a short period of time." —Journal of the Royal Statistical Society, Series A.

The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald and later proven to be optimal by Wald and Jacob Wolfowitz. Neyman and Pearson's result inspired Wald to reformulate it as a sequential analysis problem.Sequential tests of statistical hypotheses.

() by A Wald Venue: Annals of Mathematical Statistics: Add To MetaCart. Tools. Sorted by: Results 1 - 10 of Next 10 → Probabilistic Verification of Discrete Event Systems using Acceptance Sampling.Tests of Hypotheses To test the hypotheses means to choose one hypothesis or the other; that is, to make a decision, d.

We have a sample X from the relevant family of distributions and a statistic T(X). A nonrandomized test procedure is a rule δ(X) that assigns two decisions to two disjoint subsets, C0 and C1, of the range of T(X).

We equate those two decisions with the real numbers 0 and 1.