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Reliability Measures in the Discrete Bivariate Set-Up and Related Characterization Results for a Bivariate Geometric Distribution


  • Roy, D.


Bivariate failure rates and mean residual lives for nonnegative integer valued discrete variables are defined and examined for the unique determination of the underlying frequency runction. As an application, a bivariate geometric distribution is obtained through a characterization approach based on local constancy of failure rates. Some related characterization results are presented.

Suggested Citation

  • Roy, D., 1993. "Reliability Measures in the Discrete Bivariate Set-Up and Related Characterization Results for a Bivariate Geometric Distribution," Journal of Multivariate Analysis, Elsevier, vol. 46(2), pages 362-373, August.
  • Handle: RePEc:eee:jmvana:v:46:y:1993:i:2:p:362-373

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    Cited by:

    1. Dilip Roy, 2002. "On Bivariate Lack of Memory Property and a New Definition," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 404-410, June.
    2. Roy, Dilip & Gupta, R. P., 1999. "Characterizations and model selections through reliability measures in the discrete case," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 197-206, June.
    3. Buddana Amrutha & Kozubowski Tomasz J., 2014. "Discrete Pareto Distributions," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 143-156, December.

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