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Activity Number: 614 - Statistical Methods for Longitudinal and Other Dependent Data
Type: Contributed
Date/Time: Thursday, August 1, 2019 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract #303091 Presentation
Title: Estimation of a Star-Shaped Distribution Function
Author(s): Ganesh Malla*
Companies: University of Cincinnati-Clermont
Keywords: Star-Shaped Distribution; convex distribution function; nonparametric maximum likelihood estimation; uniformly strongly consistent; convergence in distribution; arg max theorem

A life distribution function F is said to be star-shaped if F(x)/x is nondecreasing on its support. This generalizes the model of a convex distribution function, even allowing for jumps. The nonparametric maximum likelihood estimation is known to be inconsistent. We provide a uniformly strongly consistent least squares estimator. We also derive the convergence in distribution of the estimator at a point where F(x)/x is increasing using the arg max theorem.

Authors who are presenting talks have a * after their name.

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