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Characterizations and model selections through reliability measures in the discrete case

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  • Roy, Dilip
  • Gupta, R. P.

Abstract

Using the general relationships amongst probability functions, failure rate function and mean residual life function, common measures used to describe continuous reliability distributions, we present some characterization results for geometric, Waring and negative hypergeometric distributions in the discrete setup. Some classical stochastic modelling problems have also been examined from both selection of the model and validation of the model points of view.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:43:y:1999:i:2:p:197-206
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Szymkowiak, Magdalena & Iwińska, Maria, 2016. "Characterizations of Discrete Weibull related distributions," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 41-48.
    2. Karlis, Dimitris & Patilea, Valentin, 2007. "Confidence intervals of the hazard rate function for discrete distributions using mixtures," Computational Statistics & Data Analysis, Elsevier, vol. 51(11), pages 5388-5401, July.
    3. Sarhan, Ammar M. & Kundu, Debasis, 2008. "Bayes estimators for reliability measures in geometric distribution model using masked system life test data," Computational Statistics & Data Analysis, Elsevier, vol. 52(4), pages 1821-1836, January.
    4. Nan-Cheng Su & Wan-Ping Hung, 2018. "Characterizations of the geometric distribution via residual lifetime," Statistical Papers, Springer, vol. 59(1), pages 57-73, March.

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