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Optimal Sequentially Planned Decision Procedures by Norbert Schmitz
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Description

This volume is concerned with statistical procedures where the data are collected in sequentially designed groups. The basic premise here is that the expected total sample size is not always the appropriate criterion for evaluating statistical procedures, especially for nonlinear sampling costs (e.g. additive fixed costs) and in clinical trials. In fact, this criterion seems to have been a hindrance to the practical use of Wald's sequential probability ratio test (SPRT) despite its well-known optimum properties. This volume systematically develops decision procedures which retain the possibility of early stopping and remove some of the disadvantages of one-at-a-time sampling. In particular, for generalizations of the SPRT algorithms, methods for computing characteristics (such as operating characteristics or power functions, expected sampling costs, etc.) are developed and implemented. The procedures turn out to be optimal in a Bayesian sense as well as for problems with side conditions (e.g. specified bounds on error probabilities or expected sampling costs). A theory of optimal sampling is developed in order to prove the various properties of the procedures.
Release date NZ
October 28th, 1992
Audience
  • Professional & Vocational
Contributors
  • Assisted by G. Duscha
  • Assisted by J. Lubbert
  • Assisted by T. Meyerthole
Illustrations
XII, 207 p.
Pages
207
Dimensions
156x234x12
ISBN-13
9780387979083
Product ID
13944011

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