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On the reduction to a complete class in multiple decision problems (2)

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Summary

As a criterion for the reduction to a complete class of decision rule in case where actions, samples and states are finite in number, “regret-relief ratio” criterion and “incremental loss-gain ratio” criterion were introduced in 2-state of nature case [2]. In this paper, “generalized regret-relief ratio” criterion ink-state of nature case is introduced as an extension of “regret-relief ratio” criterion and its usefulness is shown with an example.

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References

  1. Ferguson, T. S. (1967).Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York.

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  2. Murakami, M. (1976). On the reduction to a complete class in multiple decision problems,Ann. Inst. Statist. Math.,28, 145–165.

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Authors
  1. Masakatsu Murakami
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The Institute of Statistical Mathematics

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Murakami, M. On the reduction to a complete class in multiple decision problems (2). Ann Inst Stat Math 30, 27–34 (1978). https://doi.org/10.1007/BF02480196

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  • DOI: https://doi.org/10.1007/BF02480196

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