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

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  • Roy, D.

Abstract

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.

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  • 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. Alessandro Barbiero, 2022. "Discrete analogues of continuous bivariate probability distributions," Annals of Operations Research, Springer, vol. 312(1), pages 23-43, May.
    2. Buddana Amrutha & Kozubowski Tomasz J., 2014. "Discrete Pareto Distributions," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 143-156, December.
    3. 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.
    4. Alessandro Barbiero, 2022. "Properties and estimation of a bivariate geometric model with locally constant failure rates," Annals of Operations Research, Springer, vol. 312(1), pages 3-22, May.
    5. Bilal Ahmad Para & Tariq Rashid Jan, 2019. "On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 6(3), pages 549-570, September.
    6. 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.
    7. Chénangnon Frédéric Tovissodé & Sèwanou Hermann Honfo & Jonas Têlé Doumatè & Romain Glèlè Kakaï, 2021. "On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism," Mathematics, MDPI, vol. 9(5), pages 1-17, March.

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