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arxiv: 1701.04367 · v1 · pith:PTYXGYB6new · submitted 2017-01-16 · 🧮 math.ST · stat.TH

Testing convexity of a discrete distribution

classification 🧮 math.ST stat.TH
keywords convexityprocedurestestingasymptoticallycalibratedconvexdifferentdiscrete
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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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