This article is cited in 6 papers

Minimax measurements in a general statistical decision theory

N. A. Bogomolov

Moscow

Abstract: Minimax problem is considered in the frame of general statistical theory which includes both a classical Wald's theory and a quantum statistical decision theory. General conditions for the existence of minimax measurements are obtained, essential completeness of the class of соvariant measurements is proved (a generalization of the classical Hant–Stein theorem). Connections with the classical statistical decision theory are considered.

Received: 10.11.1980

 English version: Theory of Probability and its Applications, 1982, 26:4, 787–795

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