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Activity Number: 424
Type: Contributed
Date/Time: Tuesday, August 6, 2013 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309009
Title: Estimation of Distributions with the New Better Than Used in Expectation Property
Author(s): Ganesh Malla*+ and Hari Mukerjee and Edgardo Lorenzo
Companies: Xavier University and Wichita State University and Department of Mathematics, University of Puerto Rico at Mayagüez
Keywords: New better than used in expectation ; Mean residual life ; Estimation of survival functions ; Weak convergence ; Counting process martingales.
Abstract:

A lifetime X with survival function S, mean residual life function (MRL) M, and finite mean µ is said to be new better than used in expectation (NBUE) if M(t) = µ for all t = 0. We propose a new estimator for S, based on a natural estimator of M defined under the NBUE restriction. This is much simpler to implement than the only other restricted estimator in the literature. We also derive some asymptotic properties of the MRL of X and extend our results to the censored case.


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