A dynamic measure of divergence between two inactivity lifetime distributions. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Mansourvar, Zahra
• Is Part Of: Statistics. Volume 56:Issue 1(2022)
• Page Start: 147
• Page End: 163
• Publication Date: 2022-01-02
• Subjects: Aging properties -- distribution transformation model -- measure of discrimination -- quantile transformation model -- reversed hazard rate function; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2022.2038164
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : This paper introduces a dynamic divergence measure to assess the discrepancy between the distribution functions of two inactivity lifetime random variables. Various time-dependent results on the proposed divergence measure in connection to other well-known measures in reliability engineering and survival studies are investigated. Some aging and monotonicity properties of such a measure are also studied. Furthermore, the proposed criterion is examined in two general classes of transformation models which results in some well-known models in the lifetime studies and survival analysis.