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Properties of a mean residual life function arising from renewal theory

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  • N. Unnikrishnan Nair
  • P.G. Sankaran

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

Suggested Citation

  • N. Unnikrishnan Nair & P.G. Sankaran, 2010. "Properties of a mean residual life function arising from renewal theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 373-379, June.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:4:p:373-379
    DOI: 10.1002/nav.20413
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    References listed on IDEAS

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    1. Ramesh C. Gupta, 2006. "Variance residual life function in reliability studies," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 343-355.
    2. Ahmad, Ibrahim A., 2004. "Some properties of classes of life distributions with unknown age," Statistics & Probability Letters, Elsevier, vol. 69(3), pages 333-342, September.
    3. William E. Stein & Ronald Dattero, 1999. "Bondesson's functions in reliability theory," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 15(2), pages 103-109, April.
    4. Nair, N. Unnikrishnan & Preeth, M., 2008. "Multivariate equilibrium distributions of order n," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3312-3320, December.
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