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Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

统计理论 · 数学 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is…

统计理论 · 数学 2021-12-17 Arindam Panja , Pradip Kundu , Biswabrata Pradhan

In this paper, we study stochastic comparisons of parallel systems having log-Lindley distributed components. These comparisons are carried out with respect to reversed hazard rate and likelihood ratio ordering.

统计方法学 · 统计学 2016-08-25 Shovan Chowdhury , Amarjit Kundu

In this paper, we studied the stochastic ordering behavior of series as well as parallel systems' lifetimes comprising dependent and heterogeneous components, experiencing random shocks, and exhibiting distinct dependency structures. We…

统计理论 · 数学 2025-05-29 Sarikul Islam , Nitin Gupta

In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional odds model. We also investigate comparisons between system…

统计理论 · 数学 2020-07-28 Pradip Kundu , Nil Kamal Hazra , Asok K. Nanda

In this paper, we investigate stochastic comparisons of parallel systems, and obtain two characterization results in this regard. First, we compare a parallel system with independent heterogeneous components to a parallel system with…

概率论 · 数学 2019-12-03 Khaled Masoumifard

We study stochastic ordering of system lifetimes with dependent and heterogeneous components whose marginal distributions are obtained through transformations of a common baseline. The dependence structure is modeled via Archimedean…

概率论 · 数学 2026-04-30 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

The stochastic comparisons of parallel and series system are worthy of study. In this paper, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution with two parameters…

统计理论 · 数学 2019-05-03 Surojit Biswas , Nitin Gupta

Recently, Chowdhury and Kundu [6] compared two parallel systems of heterogeneous independent log-Lindley distributed components using the concept of vector majorization and related orders. Under the same set-up, this paper derives some…

统计方法学 · 统计学 2019-01-31 Shovan Chowdhury , Amarjit Kundu

In this paper, we have discussed the usual stochastic ordering relations between two systems. Each system consists of n mutually independent components. The components follow Exponentiated (Extended) Chen distribution with three parameters…

统计理论 · 数学 2020-03-02 Madhurima Datta , Nitin Gupta

In this paper, we compare the lifetimes of two series and two parallel systems stochastically where the lifetime of each component follows location-scale (LS) family of distributions. The comparison is carried out under two scenarios: one,…

统计理论 · 数学 2017-10-03 Amarjit Kundu , Shovan Chowdhury

In this paper we prove that two heterogeneous parallel systems with independent exponentially distributed components are comparable via the star transform order while the comparison via the convex transform fails. The latter conclusion…

概率论 · 数学 2019-01-11 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

We derive sufficient conditions for the convex and monotonic g-stochastic ordering of diffusion processes under nonlinear g-expectations and g-evaluations. Our approach relies on comparison results for forward-backward stochastic…

概率论 · 数学 2022-04-13 Sel Ly , Nicolas Privault

In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated with a $n$-component series system or a parallel system…

统计理论 · 数学 2025-03-28 Subarna Bhattacharjee , Aninda Kumar Nanda , Subhashree Patra

In this paper, we focus on stochastic comparisons of extreme order statistics stemming from multiple-outlier scale models with dependence. Archimedean copula is used to model dependence structure among nonnegative random variables.…

统计理论 · 数学 2020-12-16 Sangita Das , Suchandan Kayal

In this work, we establish some stochastic comparison results for multivariate skew-elliptical random vectors. These multivariate stochastic comparisons involve Hessian and increasing-Hessian orderings as well as many of their special…

统计理论 · 数学 2023-04-19 Chuancun Yin

This manuscript investigates the stochastic comparisons of the second-order statistics from dependent and heterogeneous general semi-parametric family of distributions observations. Some sufficient conditions on the usual stochastic order…

统计理论 · 数学 2024-07-29 Guoqiang Lv

We develop a qualitative homogenisation and spectral theory for elliptic systems of partial differential equations in divergence form with highly contrasting (i.e., non uniformly elliptic) random coefficients. The focus of the paper is on…

偏微分方程分析 · 数学 2025-01-22 Matteo Capoferri , Mikhail Cherdantsev , Igor Velčić

In this article, we stochastically compare the series and parallel systems having Topp Leone generated family of distributions. We consider that the lifetimes of the components of the systems have either the different shape parameters when…

统计理论 · 数学 2019-08-19 Ruby Chanchal , Vaishali Gupta , Amit Kumar Misra

In this paper, we have obtained conditions on parameters that result in dispersive ordering and star ordering among two unequal sets of random variables from Proportional hazard rate and Proportional reversed hazard rate family of…

统计理论 · 数学 2020-03-02 Madhurima Datta , Nitin Gupta
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