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Reversed hazard function of uncertain lifetime

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Abstract

Reversed hazard function is widely applied in reliability analysis. This paper considers the human uncertainty in a system, and employs uncertain variable to model the lifetime of a component. Concepts of mean residual life and residual entropy are proposed to describe a failed system, and their relationships with the reversed hazard function are discussed. In addition, this paper provides some applications of reversed hazard function to the mean past lifetime and past entropy.

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Authors and Affiliations

  1. Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran

    Hamed Ahmadzade

  2. School of Economics and Management, Hebei University of Technology, Tianjin, 300401, China

    Rong Gao

Authors
  1. Hamed Ahmadzade
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  2. Rong Gao
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Correspondence to Rong Gao.

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Ahmadzade, H., Gao, R. Reversed hazard function of uncertain lifetime. Fuzzy Optim Decis Making 17, 387–400 (2018). https://doi.org/10.1007/s10700-017-9281-0

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  • DOI: https://doi.org/10.1007/s10700-017-9281-0

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