A Hunt-Stein Theorem for Amenable Semigroups

James V. Bondar
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James V. Bondar: Statistics Carleton University, Dept. of Mathematics

A chapter in Probability Measures on Groups X, 1991, pp 39-43 from Springer

Abstract: Abstract A Hunt-Stein theorem is proved for statistical testing problems which are invariant under the action of an amenable semigroup. The proof uses the fixed point property, and is patterned after the Le Cam-Huber fixed point proof of the Hunt-Stein theorem for amenable groups.

Keywords: Function Class; Amenable Group; Topological Semigroup; Fixed Point Property; Nonempty Compact Convex Subset (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4899-2364-6_4

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