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On general weighted cumulative residual (past) extropy of extreme order statistics
Santosh Kumar Chaudhary, Sarikul Islam, Nitin Gupta
Weighted extropy has recently emerged as a flexible information measure for quantifying uncertainty, with particular relevance to order statistics. In this paper, we introduce and…
Weighted Tail Random Variable: A Novel Framework with Stochastic Properties and Applications
Sarikul Islam, Nitin Gupta
This paper introduces a novel framework to construct the probability density function (PDF) of non-negative continuous random variables. The proposed framework uses two functions:…
Stochastic comparison of series and parallel systems lifetime in Archimedean copula under random shock
Sarikul Islam, Nitin Gupta
In this paper, we studied the stochastic ordering behavior of series as well as parallel systems' lifetimes comprising dependent and heterogeneous components, experiencing random s…
Stochastic ordering of extreme order statistics in Archimax copula
Sarikul Islam, Nitin Gupta
An extension of Archimax copula class in more than two random variables ( Multivariate ) was introduced in (Jágr 2011) for describing dependency structures among random variables i…