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On a new multivariate IFR ageing notion based on the standard construction

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  • A. Arriaza
  • F. Belzunce
  • J. Mulero
  • A. Suárez‐Llorens

Abstract

Many criteria of ageing for random variables or vectors have been proposed in the literature over many years. For instance, a random variable is increasing in failure rate (IFR) if, and only if, it can be ordered with an exponentially distributed random variable in the classical univariate convex transform order. A new multivariate generalization of the convex transform order has recently been proposed in the literature. In this work, we propose a new multivariate IFR notion for multivariate distributions based on comparisons in this new order with a properly defined exponentially distributed random vector. Properties, applications, and illustrations of this new notion are given as well. Copyright © 2016 John Wiley & Sons, Ltd.

Suggested Citation

  • A. Arriaza & F. Belzunce & J. Mulero & A. Suárez‐Llorens, 2016. "On a new multivariate IFR ageing notion based on the standard construction," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 292-306, March.
    • Handle: RePEc:wly:apsmbi:v:32:y:2016:i:2:p:292-306
    DOI: 10.1002/asmb.2152
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