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