SYNOPTIC ABSTRACT: In this article, we consider the inactivity times X(Θ1) and Y(Θ2) of two random variables X and Y at random times Θ1 and Θ2, respectively, and make stochastic comparisons of X(Θ1) and Y(Θ2) with respect to likelihood ratio, hazard rate and mean residual life orders. Here, X and Θ1 and Y and (Θ2) may be dependent random variables. We also study various ageing properties of random variable X(Θ1). The results derived here unify and extend several existing results. An application of the results derived in this paper is also illustrated. © 2017 Taylor & Francis Group, LLC.

Sameen Naqvi

Department of Mathematics

N. Misra

Indian Institute of Technology Hyderabad (IITH) is a premier institute of science and technology established in 2008. IITH has been consistently ranked in the&nbsp;<a href="https://iith.ac.in/reports/" rel="noopener noreferrer">top 10 institutes</a>&nbsp;in India for Engineering&nbsp;<a href="https://www.nirfindia.org/2021/EngineeringRanking.html" rel="noopener noreferrer" target="_blank">according to NIRF</a>&nbsp;making it one of the most coveted schools for science and technology in the country.

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Journal	Data powered by TypesetAmerican Journal of Mathematical and Management Sciences
Publisher	Data powered by TypesetTaylor and Francis Ltd.
ISSN	01966324