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Optimal Sequentially Planned Decision Procedures

Norbert Schmitz
Livre broché | Anglais | Lecture Notes in Statistics | n° 79
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Description

Learning from experience, making decisions on the basis of the available information, and proceeding step by step to a desired goal are fundamental behavioural qualities of human beings. Nevertheless, it was not until the early 1940's that such a statistical theory - namely Sequential Analysis - was created, which allows us to investigate this kind of behaviour in a precise manner. A. Wald's famous sequential probability ratio test (SPRT; see example (1.8 turned out to have an enormous influence on the development of this theory. On the one hand, Wald's fundamental monograph "Sequential Analysis" ([Wa]*) is essentially centered around this test. On the other hand, important properties of the SPRT - e.g. Bayes- optimality, minimax-properties, "uniform" optimality with respect to expected sample sizes - gave rise to the development of a general statistical decision theory. As a conse- quence, the SPRT's played a dominating role in the further development of sequential analysis and, more generally, in theoretical statistics.

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Contenu

Nombre de pages :
207
Langue:
Anglais
Collection :
Tome:
n° 79

Caractéristiques

EAN:
9780387979083
Date de parution :
28-10-92
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
326 g

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