Properties of a mean residual life function arising from renewal theory |
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| Authors: | N Unnikrishnan Nair PG Sankaran |
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| Institution: | Department of Statistics, Cochin University of Science and Technology, Cochin 682 022, India |
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| Abstract: | 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 |
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| Keywords: | mean residual life variance residual life ageing concepts partial orders |
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