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- catalog abstract "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.".
- catalog contributor b3949343.
- catalog created "1992.".
- catalog date "1992".
- catalog date "1992.".
- catalog dateCopyrighted "1992.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "xii, 207 p. :".
- catalog hasFormat "Optimal sequentially planned decision procedures.".
- catalog identifier "0387979085".
- catalog isFormatOf "Optimal sequentially planned decision procedures.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 79.".
- catalog isPartOf "Lecture notes in statistics ; 79".
- catalog issued "1992".
- catalog issued "1992.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Optimal sequentially planned decision procedures.".
- catalog subject "519.5/4 20".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Mathematics.".
- catalog subject "QA279.7 .S36 1992".
- catalog subject "Sequential analysis.".
- catalog title "Optimal sequentially planned decision procedures / Norbert Schmitz ; with the assistance of Günter Duscha, Josef Lübbert, Thomas Meyerthole.".
- catalog type "text".