In this paper, we study the bivariate Birnbaum-Saunders (BVBS) distribution from a reliability point of view. The monotonicity of the hazard rates of the univariate as well as the conditional distributions is discussed. Clayton's association measure is obtained in terms of the hazard gradient and its value in the case of the BVBS distribution is derived. The probability distributions, in the case of series and parallel systems, are derived and the monotonicity of the failure rate, in the case of series system, is discussed.
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Univ Estadual Campinas, Dept Estat, Caixa Postal 6065, Sao Paulo, SP, BrazilUniv Estadual Campinas, Dept Estat, Caixa Postal 6065, Sao Paulo, SP, Brazil
Vilca, Filidor
Romeiro, Renata G.
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Univ Estadual Campinas, Dept Estat, Caixa Postal 6065, Sao Paulo, SP, BrazilUniv Estadual Campinas, Dept Estat, Caixa Postal 6065, Sao Paulo, SP, Brazil
Romeiro, Renata G.
Balakrishnan, N.
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McMaster Univ, Dept Math & Stat, Hamilton, ON, CanadaUniv Estadual Campinas, Dept Estat, Caixa Postal 6065, Sao Paulo, SP, Brazil
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Univ Estadual Campinas, Dept Estat, Sao Paulo, BrazilUniv Estadual Campinas, Dept Estat, Sao Paulo, Brazil
Vilca, Filidor
Balakrishnan, N.
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McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
King Abdulaziz Univ, Dept Stat, Jeddah 21413, Saudi ArabiaUniv Estadual Campinas, Dept Estat, Sao Paulo, Brazil
Balakrishnan, N.
Zeller, Camila Borelli
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Univ Fed Juiz Fora, Dept Estat, Juiz De Fora, MG, BrazilUniv Estadual Campinas, Dept Estat, Sao Paulo, Brazil