Abstract
This paper is concerned with the existence of minimax solutions in a decision theoretic model for continuous observations as described inIrle, Schmitz, [1914]. There is given a result on the existence of minimax solutions with constant time observation, followed by a discussion of the conditions which are used to prove the above statement.
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References
Bourbaki, N.: General Topology, Part 2, Reading 1966.
Dood, J.L.: Stochastic processes, New York 1953.
Dvoretzky, A., J. Kiefer, andJ. Wolfowitz: Sequential decision problems for processes with continuous time parameter. Problems of estimation. Ann. Math. Stat.24, 403–416, 1953.
Irle, A.: Sequentielle Entscheidungsverfahren bei kontinuierlicher Beobachtung, unpublished thesis, Münster 1973.
Irle, A., andN. Schmitz: Decision theory for continuous observations I: Bayes solutions, to appear in: Transactions of the seventh Prague conference on information theory, statistical decision functions and random processes 1974.
Kiefer, J.: Invariance, minimax sequential estimation and continuous time processes, Ann. Math. Stat.28, 1957 573–601.
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Irle, A. Decision theory for continuous observations: Minimax solutions. Metrika 24, 163–168 (1977). https://doi.org/10.1007/BF01893402
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DOI: https://doi.org/10.1007/BF01893402