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1 results

  • Multivariate dependent renewal processes

  • Eric Slud
  • Journal:
    Advances in Applied Probability / Volume 16 / Issue 2 / June 1984
    Published online by Cambridge University Press:
    01 July 2016, pp. 347-362
    Print publication:
    June 1984

  • A new class of reliability point-process models for dependent components is introduced. The dependence is expressed through a regression, following a form suggested by Cox (1972) for survival data analysis involving the current life-length of the components. After formulating the current-life process as a Markov process with stationary transitions and stating some general results on asymptotic behavior, we describe the stationary distributions in some bivariate examples. Finally, we discuss statistical inference for the new models, exhibiting and justifying full- and partial-likelihood methods for their analysis.