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Percentile residual life orders

Author

Listed:
  • Alba M. Franco‐Pereira
  • Rosa E. Lillo
  • Juan Romo
  • Moshe Shaked

Abstract

In this paper we study a family of stochastic orders of random variables defined via the comparison of their percentile residual life functions. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are also studied. Finally, some applications in reliability theory and finance are described. Copyright © 2010 John Wiley & Sons, Ltd.

Suggested Citation

  • Alba M. Franco‐Pereira & Rosa E. Lillo & Juan Romo & Moshe Shaked, 2011. "Percentile residual life orders," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 27(3), pages 235-252, May.
  • Handle: RePEc:wly:apsmbi:v:27:y:2011:i:3:p:235-252
    DOI: 10.1002/asmb.825
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