Sequential Analysis and Optimal Design
Sequential Analysis and Optimal Design
Herman Chernoff
January 1972
Paperback
9780898710069
£35.99
GBPPaperback
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.
Product details
January 1972Paperback
9780898710069
125 pages
255 × 178 × 100 mm
0.3kg
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Table of Contents
- 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.
