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On renewal increasing mean residual life distributions: An age replacement model with hypothesis testing application

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  • Sepehrifar, Mohammad B.
  • Khorshidian, Kavoos
  • Jamshidian, Ahmad R.

Abstract

We study the life distribution of an operating device through the notion of mean residual life. The device is experiencing a random number of shocks governed by a homogeneous Poisson process, and a new U-statistic test procedure is introduced to test the hypothesis of that the life is exponentially distributed against the alternative that the life distribution is the life distribution has renewal increasing mean residual property.

Suggested Citation

  • Sepehrifar, Mohammad B. & Khorshidian, Kavoos & Jamshidian, Ahmad R., 2015. "On renewal increasing mean residual life distributions: An age replacement model with hypothesis testing application," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 117-122.
    • Handle: RePEc:eee:stapro:v:96:y:2015:i:c:p:117-122
    DOI: 10.1016/j.spl.2014.09.009
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    References listed on IDEAS

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    1. Ahmad, Ibrahim A. & Sepehrifar, Mohammad B., 2009. "On testing alternative classes of life distribution with guaranteed survival times," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 857-864, February.
    2. Xiaohu Li & Maochao Xu, 2008. "Reversed hazard rate order of equilibrium distributions and a related aging notion," Statistical Papers, Springer, vol. 49(4), pages 749-767, October.
    3. Glynn, Peter W. & Whitt, Ward, 1993. "Limit theorems for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 47(2), pages 299-314, September.
    4. Abu-Youssef, S. E., 2002. "A moment inequality for decreasing (increasing) mean residual life distributions with hypothesis testing application," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 171-177, April.
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    Cited by:

    1. Mohammad Sepehrifar & Shantia Yarahmadian, 2017. "Decreasing renewal dichotomous Markov noise shock model with hypothesis testing applications," Statistical Papers, Springer, vol. 58(4), pages 1115-1124, December.

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