Lecture Notes in Statistics

Duscha, G.; Schmitz, Norbert; Lübbert, J.; Meyerthole, T.

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.

Details

Published by: Springer

Publication Date: 1992-10-28

Format: Paperback

ISBN-13: 9780387979083

DOI: 10.1007/978-1-4612-2736-6

Dimensions: 235cm x155cm

Pages: 207