Ordering properties of order statistics from heterogeneous populations: a review with an emphasis on some recent developments

N Balakrishnan, P Zhao - Probability in the Engineering and …, 2013 - cambridge.org
In this paper, we review some recent results on the stochastic comparison of order statistics
and related statistics from independent and heterogeneous proportional hazard rates …

Stochastic orders in reliability and risk

H Li, X Li - Honor of Professor Moshe Shaked. Springer, New York, 2013 - Springer
In summer of 2010, the first author (HL) visited the second author (XL) at Lanzhou University,
China, and chaired the dissertation defense for XL's two graduating doctoral students …

Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks

J Zhang, R Yan, Y Zhang - … Engineers, Part O: Journal of Risk …, 2023 - journals.sagepub.com
In many significant safety systems, the fault tolerance of a fail-safe system has been a
fundamental design attributed to obtaining more higher reliability. However, in most practical …

On fail‐safe systems under random shocks

Y Zhang, E Amini‐Seresht… - Applied Stochastic Models …, 2019 - Wiley Online Library
In practical situations, systems often suffer shocks from external stressing environments,
stressing the system at random. These random shocks may have non‐ignorable effects on …

Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations

R Yan, J Niu - Statistics, 2023 - Taylor & Francis
This manuscript studies the stochastic comparisons of the second-order statistics from
dependent or independent and heterogeneous modified proportional hazard rate …

Ordering and aging properties of systems with dependent components governed by the Archimedean copula

T Sahoo, NK Hazra - Probability in the Engineering and Informational …, 2023 - cambridge.org
Copula is one of the widely used techniques to describe the dependency structure between
components of a system. Among all existing copulas, the family of Archimedean copulas is …

Stochastic comparison of the second-order statistics arising from exponentiated location-scale model

S Das, S Kayal - Communications in Statistics-Theory and Methods, 2024 - Taylor & Francis
In this article, we consider stochastic comparisons between second-order statistics arising
from general exponentiated location-scale models. When the random variables are …

Excess wealth transform with applications

S Kochar, M Xu - Stochastic Orders in Reliability and Risk: In Honor of …, 2013 - Springer
Shaked and Shanthikumar [425] introduced the excess wealth transform and the related
excess wealth order. A lot of research activities have taken place on this topic lately. In this …

A review on convolutions of gamma random variables

BE Khaledi, S Kochar - Stochastic Orders in Reliability and Risk: In Honor …, 2013 - Springer
A Review on Convolutions of Gamma Random Variables | SpringerLink Skip to main content
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On comparison of the second-order statistics from independent and interdependent exponentiated location-scale distributed random variables

S Das, S Kayal - arxiv preprint arxiv:2104.08525, 2021 - arxiv.org
Consider two batches of independent or interdependent exponentiated location-scale
distributed heterogeneous random variables. This article investigates ordering results for the …