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On the Mixture Proportional Mean Residual Life Model

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  • Majid Rezaei
  • Behzad Gholizadeh

Abstract

In this article, we propose a new mixture model induced by the model of proportional mean residual life. Under some appropriate assumptions, it is shown that the mixing and overall variables in the model admit the positive likelihood ratio dependence structure. To see how the overall variable is affected by the stochastic variation of the mixing variable, we study some stochastic comparisons using these variables. Finally, some useful bounds for tail probability of the overall variable for large values of the mixing variable are derived.

Suggested Citation

  • Majid Rezaei & Behzad Gholizadeh, 2015. "On the Mixture Proportional Mean Residual Life Model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(20), pages 4263-4277, October.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:20:p:4263-4277
    DOI: 10.1080/03610926.2013.810262
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    Cited by:

    1. Francisco Germán Badía & María Dolores Berrade, 2022. "On the Residual Lifetime and Inactivity Time in Mixtures," Mathematics, MDPI, vol. 10(15), pages 1-20, August.
    2. Fatemeh Hooti & Jafar Ahmadi & N. Balakrishnan, 2022. "Stochastic Comparisons of General Proportional Mean Past Lifetime Frailty Model," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 844-866, August.
    3. F. G. Badía & Ji Hwan Cha, 2017. "On bending (down and up) property of reliability measures in mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 455-482, May.

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