On the skewness of extreme order statistics from heterogeneous samples

W Ding, J Yang, X Ling - Communications in Statistics-Theory and …, 2017 - Taylor & Francis
The effect of heterogeneity on order statistics has attracted much attention in recent
decades. In this paper, we study the skewness of extreme order statistics from …

On stochastic comparisons of k-out-of-n systems with Weibull components

N Balakrishnan, G Barmalzan… - Journal of Applied …, 2018 - cambridge.org
In this paper we prove that a parallel system consisting of Weibull components with different
scale parameters ages faster than a parallel system comprising Weibull components with …

On the skewness of order statistics in multiple-outlier PHR models

E Amini-Seresht, J Qiao, Y Zhang, P Zhao - Metrika, 2016 - Springer
In this paper, we investigate the skewness of order statistics stemming from multiple-outlier
proportional hazard rates samples in the sense of several variability orderings such as the …

Method-of-moments estimators of a scale parameter based on samples from a coherent system

C Macci, J Navarro - Probability in the Engineering and Informational …, 2024 - cambridge.org
In this paper, we study the estimation of a scale parameter from a sample of lifetimes of
coherent systems with a fixed structure. We assume that the components are independent …

On variability of series and parallel systems with heterogeneous components

Y Zhang, W Ding, P Zhao - Probability in the Engineering and …, 2020 - cambridge.org
This paper studies the variability of both series and parallel systems comprised of
heterogeneous (and dependent) components. Sufficient conditions are established for the …

On stochastic comparisons of order statistics from heterogeneous exponential samples

Y Yu - Probability in the Engineering and Informational …, 2021 - cambridge.org
We show that the kth order statistic from a heterogeneous sample of n≥ k exponential
random variables is larger than that from a homogeneous exponential sample in the sense …

Stochastic comparison of parallel systems with Pareto components

S Naqvi, W Ding, P Zhao - Probability in the Engineering and …, 2022 - cambridge.org
Pareto distribution is an important distribution in extreme value theory. In this paper, we
consider parallel systems with Pareto components and study the effect of heterogeneity on …