Title: Some reliability properties of the proportional hazard rate model with upside down bathtub shaped hazard rate

Authors: M. Shafaei Noughabi; Abdol Hamid Rezaei Roknabadi; Golam Reze Mohtashami Borzadaran

Addresses: University of Gonabad, Gonabad, Iran ' Ferdowsi University of Mashhad, Mashhad, Iran ' Ferdowsi University of Mashhad, Mashhad, Iran

Abstract: In this paper, a lifetime model with upside-down bathtub shaped hazard rate function has been considered, and the change point of the mean residual life function has been compared with the corresponding point of a proportional hazard model in terms of their locations. It has been shown that like the mean residual life function, the α-percentile residual life function α ∈ (0,1) of an upside-down bathtub shaped hazard rate model is increasing or bathtub shaped. But, unlike the mean residual life function its change points may not be unique. Then, the points minimising the α-percentile residual life have been compared with the corresponding points of a proportional hazard rate model in terms of their locations.

Keywords: alpha-percentile residual life; mean residual life; proportional hazard rate; upside-down bathtub shaped hazard rate; reliability.

DOI: 10.1504/IJRS.2016.078384

International Journal of Reliability and Safety, 2016 Vol.10 No.2, pp.110 - 124

Accepted: 18 Jun 2016
Published online: 15 Aug 2016 *

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