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Characterizations of discrete distributions using reliability concepts in reversed time

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  • Unnikrishnan Nair, N.
  • Sankaran, P.G.

Abstract

In the present work we establish characterizations of some discrete distributions using properties of the reversed hazard rate and reversed mean residual life. Discrete distributions having a constant reversed hazard rate, the reversed lack of memory property, and the product of the reversed hazard rate and the mean residual life a constant are identified. Some properties of the reversed variance residual life and a characterization are also discussed.

Suggested Citation

  • Unnikrishnan Nair, N. & Sankaran, P.G., 2013. "Characterizations of discrete distributions using reliability concepts in reversed time," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 1939-1945.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:9:p:1939-1945
    DOI: 10.1016/j.spl.2013.05.004
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    References listed on IDEAS

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    1. S. Goliforushani & M. Asadi, 2008. "On the discrete mean past lifetime," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(2), pages 209-217, September.
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    Cited by:

    1. Sreehari M. & Sandhya E. & Mohamed Akbar V. K., 2018. "Some Reliability and Other Properties of Beta-Transformed Random Variables," Stochastics and Quality Control, De Gruyter, vol. 33(2), pages 83-92, December.
    2. Wu, Jing & Qian, Cunhua & Dohi, Tadashi, 2024. "Optimal opportunity-based age replacement policies in discrete time," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    3. 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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