On the change points of mean residual life and failure rate functions for some generalized gamma type distributions. (22nd September 2014)

• Record Type: Journal Article
• Authors: Parsa, M.; Motashami Borzadaran, G.R.; Rezaei Roknabadi, A.H.
• Is Part Of: International journal of metrology and quality engineering. Volume 5:Number 1(2014)
• Publication Date: 2014-09-22
• Subjects: Change point, -- failure rate function, -- mean residual life function, -- generalized gamma, -- useful period; Metrology -- Periodicals; Quality control -- Periodicals; 389
• DOI: 10.1051/ijmqe/2014002
• Languages: English
• ISSNs: 2107-6839

Abstract

Abstract : Mean residual life and failure rate functions are ubiquitously employed in reliability analysis. The term of useful period of lifetime distributions of bathtub-shaped failure rate functions is referred to the flat rigion of this function and has attracted authors and researchers in reliability, actuary, and survival analysis. In recent years, considering the change points of mean residual life and failure rate functions has been extensively utelized in determining the optimum burn-in time. In this paper we investigate the difference between the change points of failure rate and mean residual life functions of some generalized gamma type distributions due to the capability of these distributions in modeling various bathtub-shaped failure rate functions.