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Part of the book series: Lecture Notes in Statistics ((LNS,volume 84))

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Abstract

In this chapter we briefly discuss two undominated classes of experiments. A dominated experiment has a dominating measure which is σ-finite. Hence if we drop the assumption ”σ-finite” we have an undominated experiment. We call it majorized. At this stage of study this majorized experiment is recognized to be the most general experiment in which some ”theory of sufficiency” could be constructed.

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© 1994 Springer-Verlag New York, Inc.

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Yamada, S. (1994). Undominated experiments. In: Pivotal Measures in Statistical Experiments and Sufficiency. Lecture Notes in Statistics, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2644-4_2

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  • DOI: https://doi.org/10.1007/978-1-4612-2644-4_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94216-2

  • Online ISBN: 978-1-4612-2644-4

  • eBook Packages: Springer Book Archive

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