A new test for new better than used in expectation lifetimes

No Thumbnail Available
Issue Date
2015
Authors
Lorenzo, Edgardo
Malla, Ganesh B.
Mukerjee, Hari
Advisor
Citation

Lorenzo, Edgardo; Malla, Ganesh B.; Mukerjee, Hari. 2015. A new test for new better than used in expectation lifetimes. Communications in Statistics - Theory and Methods, vol. 44:no. 23:pp 4927-4939

Abstract

The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X - t | X > t] for t >= 0. A popular nonparametric model of aging is new better than used in expectation (NBUE), when M(t) <= M(0) for all t >= 0. The exponential distribution lies at the boundary. There is a large literature on testing exponentiality against NBUE alternatives. However, comparisons of tests have been made only for alternatives much stronger than NBUE. We show that a new Kolmogorov-Smirnov type test is much more powerful than its competitors in most cases.

Table of Content
Description
Click on the DOI link to access the article (may not be free).
publication.page.dc.relation.uri