Approximation to Minimum K-Extended Bayes Risk in Sequences of Finite State Decision Problems and Games
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1982-03-01
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Vardeman, Stephen
University Professor Emeritus
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Statistics
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Industrial and Manufacturing Systems Engineering
The Department of Industrial and Manufacturing Systems Engineering teaches the design, analysis, and improvement of the systems and processes in manufacturing, consulting, and service industries by application of the principles of engineering. The Department of General Engineering was formed in 1929. In 1956 its name changed to Department of Industrial Engineering. In 1989 its name changed to the Department of Industrial and Manufacturing Systems Engineering.
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Abstract
This paper treats a sequence version of the finite state compound decision problem. k-extended standards for the risk of sequence compound procedures are described. Bounds are developed for the risks of a family of procedures employing artificial randomization. In addition it is noted that the given formulation of the problem includes a game theoretic situation and three additional solutions are offered for this specialization.
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This article is published as "Approximation to minimum k-extended Bayes risk in sequences of finite state decision problems and games." Bulletin of the Institute of Mathematics Academia Sinica, 1982, Vol. 10, No. 1, pp. 35-52. Posted with permission.
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Fri Jan 01 00:00:00 UTC 1982