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arxiv: 1312.2166 · v1 · pith:MOFO4QPFnew · submitted 2013-12-08 · 🧮 math.PR · math.ST· stat.TH

Log-concavity of a Mixture of Beta Distributions

classification 🧮 math.PR math.STstat.TH
keywords betadistributionslog-concavemixtureapplicationsdensityeconomiclast
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We show that a mixture of Beta distributions has log-concave density whenever the mixing weights are themselves log-concave. Some economic and statistical applications are provided in the last section.

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