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On asymptotics of the discrete convex LSE of a pmf

11 April 2014
F. Balabdaoui
C. Durot
Franccois Koladjo
ArXiv (abs)PDFHTML
Abstract

In this article, we derive the weak limiting distribution of the least squares estimator (LSE) of a convex probability mass function (pmf) with a finite support. We show that it can be defined via a certain convex projection of a Gaussian vector. Furthermore, samples of any given size from this limit distribution can be generated using an efficient Dykstra-like algorithm.

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