Sequential Analysis and Optimal Design
Published on 28. February 1987
Book
Paperback/Softback
124 pages
978-0-89871-006-9 (ISBN)
Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 255 mm
Width: 178 mm
Thickness: 100 mm
Weight
300 gr
ISBN-13
978-0-89871-006-9 (9780898710069)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Preliminaries on Probability
Generalities about the Conventional Theory of Design of Experiments
Optimal Sample Size
Preliminaries on Regression
Design for Linear Regression: Elfving's Method
Maximum-Likelihood Estimation
Locally Optimal Designs for Estimation
More Design in Regression Experiments
Testing Hypotheses
Optimal Sample Size in Testing
Sequential Probability-Ratio Test
Optimality of Sequential Probability-Ratio Test
Motivation for an Approach to Sequential Design of Experiments in Testing Hypotheses
Asymptotic Optimality of Procedure A in Sequential Design
Extensions and Open Questions in Sequential Design
The Problem of Adjacent Hypotheses
Testing for the Sign of a Normal Mean: No Indifference Zone
Bandit Problems
Sequential Estimation of a Normal Mean
Sequential Estimation of the Common Mean of Two Normal Populations.
Generalities about the Conventional Theory of Design of Experiments
Optimal Sample Size
Preliminaries on Regression
Design for Linear Regression: Elfving's Method
Maximum-Likelihood Estimation
Locally Optimal Designs for Estimation
More Design in Regression Experiments
Testing Hypotheses
Optimal Sample Size in Testing
Sequential Probability-Ratio Test
Optimality of Sequential Probability-Ratio Test
Motivation for an Approach to Sequential Design of Experiments in Testing Hypotheses
Asymptotic Optimality of Procedure A in Sequential Design
Extensions and Open Questions in Sequential Design
The Problem of Adjacent Hypotheses
Testing for the Sign of a Normal Mean: No Indifference Zone
Bandit Problems
Sequential Estimation of a Normal Mean
Sequential Estimation of the Common Mean of Two Normal Populations.