Testing convexity of a discrete distribution

Fadoua Balabdaoui,Cécile Durot,Babagnidé François Koladjo

Statistics & Probability Letters（2018）

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摘要

Based on the convex least-squares estimator, we propose two different procedures for testing convexity of a probability mass function supported on N with an unknown finite support. The procedures are shown to be asymptotically calibrated.

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关键词

Asymptotics,Convexity,Discrete distribution,Shape constraint,Statistical test

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