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On one class of bivariate distributions

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  • Finkelstein, M. S.

Abstract

A new class of bivariate distributions is constructed from a given family of distributions. The approach is based on the corresponding exponential representation, which generalizes the well-known exponential representation for the univariate survival function.

Suggested Citation

  • Finkelstein, M. S., 2003. "On one class of bivariate distributions," Statistics & Probability Letters, Elsevier, vol. 65(1), pages 1-6, October.
    • Handle: RePEc:eee:stapro:v:65:y:2003:i:1:p:1-6
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    References listed on IDEAS

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    1. Yashin, Anatoli I. & Iachine, Ivan A., 1999. "Dependent Hazards in Multivariate Survival Problems," Journal of Multivariate Analysis, Elsevier, vol. 71(2), pages 241-261, November.
    2. Shaked, Moshe, 1982. "A general theory of some positive dependence notions," Journal of Multivariate Analysis, Elsevier, vol. 12(2), pages 199-218, June.
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    Cited by:

    1. Navarro, Jorge, 2008. "Characterizations using the bivariate failure rate function," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1349-1354, September.
    2. A. Dolati & M. Amini & S. Mirhosseini, 2014. "Dependence properties of bivariate distributions with proportional (reversed) hazards marginals," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(3), pages 333-347, April.
    3. P. Sankaran & V. Gleeja, 2008. "Proportional reversed hazard and frailty models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(3), pages 333-342, November.
    4. Shyamal Ghosh & Prajamitra Bhuyan & Maxim Finkelstein, 2022. "On a bivariate copula for modeling negative dependence: application to New York air quality data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(5), pages 1329-1353, December.
    5. Finkelstein, Maxim, 2013. "On dependent items in series in different environments," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 119-122.

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