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Marshall lemma in discrete convex estimation

Article ID Journal Published Year Pages File Type
1154493 Statistics & Probability Letters 2015 6 Pages PDF
Abstract

We show that the supremum distance between the cumulative distribution of the convex LSE and an arbitrary distribution function FF with a convex pmf on NN is at most twice the supremum distance between the empirical distribution function and FF.

Keywords
PMFShape constraintsConvex
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Marshall lemma in discrete convex estimation
Authors
Fadoua Balabdaoui, Cécile Durot,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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