STOCHASTIC COMPARISONS OF COHERENT SYSTEMS UNDER DIFFERENT RANDOM ENVIRONMENTS

被引：7

作者：

Amini-Seresht, Ebrahim

Zhang, Yiying ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

机构：

[1] Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L85 4K1, Canada

来源：

JOURNAL OF APPLIED PROBABILITY | 2018年 / 55卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Coherent system; random environment; stochastic order; distortion function; dependent component; MULTIVARIATE MIXTURE-MODELS; FRAILTY MODELS; DEPENDENT COMPONENTS; ORDERINGS; DISTRIBUTIONS;

D O I：

10.1017/jpr.2018.30

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

For many practical situations in reliability engineering, components in the system are usually dependent since they generally work in a collaborative environment. In this paper we build sufficient conditions for comparing two coherent systems under different random environments in the sense of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orders. Applications and numerical examples are provided to illustrate all the theoretical results established here.

引用

页码：459 / 472

页数：14

共 50 条

[11] Stochastic Comparisons of Some Distances between Random Variables
Ortega-Jimenez, Patricia
Sordo, Miguel A.
Suarez-Llorens, Alfonso
MATHEMATICS, 2021, 9 (09)
[12] Distribution-free Comparisons of Coherent Systems
Navarro, Jorge
2016 SECOND INTERNATIONAL SYMPOSIUM ON STOCHASTIC MODELS IN RELIABILITY ENGINEERING, LIFE SCIENCE AND OPERATIONS MANAGEMENT (SMRLO), 2016, : 221 - 224
[13] Comparisons of coherent systems under the time-transformed exponential model
Navarro, Jorge
Mulero, Julio
TEST, 2020, 29 (01) : 255 - 281
[14] Comparisons of coherent systems under the time-transformed exponential model
Jorge Navarro
Julio Mulero
TEST, 2020, 29 : 255 - 281
[15] Stochastic comparisons for the number of working components of a system in random environment
Xiaoliang Ling
Ping Li
Metrika, 2013, 76 : 1017 - 1030
[16] Stochastic Comparisons of Lifetimes of Series and Parallel Systems with Dependent Heterogeneous MOTL-G Components under Random Shocks
Jiao, Liang
Yan, Rongfang
SYMMETRY-BASEL, 2021, 13 (12):
[17] ON THE RESIDUAL AND PAST LIFETIMES OF COHERENT SYSTEMS UNDER RANDOM MONITORING
Amini-Seresht, Ebrahim
Kelkinnama, Maryam
Zhang, Yiying
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2021, 35 (03) : 465 - 480
[18] Stochastic comparisons of coherent systems with active redundancy at the component or system levels and component lifetimes following the accelerated life model
Panja, Arindam
Kundu, Pradip
Pradhan, Biswabrata
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2024, 40 (02) : 446 - 461
[19] Comparisons of coherent systems with active redundancy and component lifetimes following the proportional odds model
Panja, Arindam
Kundu, Pradip
Pradhan, Biswabrata
ANNALS OF OPERATIONS RESEARCH, 2024, 335 (01) : 185 - 204
[20] Comparisons of coherent systems with non-identically distributed components
Navarro, Jorge
Rubio, Rafael
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (06) : 1310 - 1319

← 1 2 3 4 5 →