On generalized orderings and ageing classes for residual life and inactivity time at random time

Arijit Patra and Chanchal Kundu ()
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Arijit Patra: Rajiv Gandhi Institute of Petroleum Technology
Chanchal Kundu: Rajiv Gandhi Institute of Petroleum Technology

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 6, No 3, 704 pages

Abstract: Abstract In this paper, we enhance the study of ageing classes and stochastic comparisons of residual life at random time (RLRT) and inactivity time at random time (ITRT). We provide some new preservation properties of generalized ageing classes (viz. s-IFR, s-DFR) and generalized stochastic ordering (s-FR) for RLRT and ITRT, where s is a non-negative integer. An application in reliability theory is also investigated. The results strengthen some results available in the literature and are expected to be useful in reliability theory, forensic science, econometrics, queueing theory and actuarial science.

Keywords: Generalized ageing classes; Generalized stochastic orders; Residual life (inactivity time) at random time; Totally positive of order 2 functions; Primary 60E15; Secondary 62N05; 60K10 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-018-0701-0

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