Optimal Sequentially Planned Decision Procedures

di Norbert Schmitz (Autore)

Springer-Verlag New York Inc., 1992

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.

• Autore: Norbert Schmitz
• Editore: Springer-Verlag New York Inc.
• Collana: Lecture Notes in Statistics
• Anno: 1992
• Rilegatura: Paperback / softback
• Pagine: 207 p.
• Dimensioni: 235 x 155 mm
• EAN: 9780387979083

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