Far East Journal of Theoretical Statistics
Volume 45, Issue 2, Pages 111 - 132
(November 2013)
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PARTIAL ORDER OF CONCENTRATION ABOUT A POSITION FOR COMPARING BAYESIAN PRIOR DENSITIES
Takemi Yanagimoto and Toshio Ohnishi
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Abstract: A novel partial order of concentration about a position is introduced and explored. It is designed as a criterion for comparing degrees of belief on a fixed position between two prior densities in Bayesian models. This order relates to stochastic orders of dispersion and peakedness, and owes its theoretical background to the definition of unimodality through a convex set. Fundamental properties and various examples are given. |
Keywords and phrases: informative prior, non-informative prior, stochastic largerness, unimodal function. |
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