A reliability model for multivariate exponential distributions

  • Authors:
  • Rong-Tsorng Wang

  • Affiliations:
  • Department of Statistics, Tunghai University, Taichung 407, Taiwan

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2007

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Abstract

In this paper, we consider a counting process approach for characterizing a system having dependent component failure rates. We study the transient state probabilities and related reliability properties based on a series of Poisson shocks. We also show that the proposed infinitesimal generator representation can be used to characterize the bivariate exponential distributions of Freund, Marshall-Olkin, Block-Basu and Friday-Patil.