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Minimax Analysis

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Statistical Decision Theory

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

This chapter is devoted to the implementation and evaluation of decision-theoretic analysis based on the minimax principle introduced in Section 1.5. We began Chapter 4 with a discussion of axioms of rational behavior, and observed that they lead to a justification of Bayesian analysis. It would be nice to be able to say something similar about minimax analysis, but the unfortunate fact is that minimax analysis is not consistent with such sets of axioms. We are left in the uncomfortable position of asking why this chapter is of any interest. (Indeed many Bayesians will deny that it is of any interest.) It thus behooves us to start with a discussion of when minimax analysis can be useful.

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© 1980 Springer Science+Business Media New York

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Berger, J.O. (1980). Minimax Analysis. In: Statistical Decision Theory. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1727-3_5

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  • DOI: https://doi.org/10.1007/978-1-4757-1727-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-1729-7

  • Online ISBN: 978-1-4757-1727-3

  • eBook Packages: Springer Book Archive

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