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Properties of a mean residual life function arising from renewal theory
Author(s) -
Unnikrishnan Nair N.,
Sankaran P.G.
Publication year - 2010
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.20413
Subject(s) - residual , monotonic function , function (biology) , renewal theory , variance (accounting) , mathematics , statistics , econometrics , economics , algorithm , mathematical analysis , accounting , evolutionary biology , biology
The present article discusses the properties of the mean residual life function in a renewal process. We examine the relationship this function has with the failure rate function and the conventional mean, variance and coefficient of variation of residual life. We also discuss some monotonicity properties of the mean residual life function. A partial order based on the renewal mean residual function is introduced along with its interrelationship with some existing stochastic orders. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010