2 papers
math.ST2025
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…
math.ST2025
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:…