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Reliability Analysis of the Proportional Mean Residual Life Order

Author

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  • M. Kayid
  • S. Izadkhah
  • H. Alhalees

Abstract

The concept of mean residual life plays an important role in reliability and life testing. In this paper, we introduce and study a new stochastic order called proportional mean residual life order. Several characterizations and preservation properties of the new order under some reliability operations are discussed. As a consequence, a new class of life distributions is introduced on the basis of the anti-star-shaped property of the mean residual life function. We study some reliability properties and some characterizations of this class and provide some examples of interest in reliability.

Suggested Citation

  • M. Kayid & S. Izadkhah & H. Alhalees, 2014. "Reliability Analysis of the Proportional Mean Residual Life Order," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:142169
    DOI: 10.1155/2014/142169
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    Cited by:

    1. Mansour Shrahili & Abdulhakim A. Albabtain & Mohamed Kayid & Zahra Kaabi, 2020. "Stochastic Aspects of Proportional Vitalities Model," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    2. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.

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