Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks

被引：0

作者：

Abdolahi, Molod ^{[1
]}

Parham, Gholamali ^{[1
]}

Chinipardaz, Rahim ^{[1
]}

机构：

[1] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Stat, Ahvaz, Iran

来源：

REVSTAT-STATISTICAL JOURNAL | 2023年 / 21卷 / 01期

关键词：

exponentiated location-scale family; matrix majorization; random shock; usual stochastic order; vector majorization; STOCHASTIC COMPARISONS; PARALLEL SYSTEMS; SAMPLE MINIMUM; FAMILY; SERIES;

D O I：

10.57805/revstat.v21i1.408

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：

In this paper, we discuss stochastic comparisons of lifetimes of series and parallel systems when the components are exponentiated location-scale models under random shocks. The results established here are developed in two directions. First, the comparisons are carried out with respect to usual stochastic ordering by using the concept of vector majorization for series and parallel systems. Next, when the matrix of parameters changes to another matrix of parameters in the sense of multivariate chain majorization, we study the usual stochastic order of the smallest order statistics when each component receives a random shock.

引用

页码：115 / 141

页数：27

共 38 条

[1] Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks
Kundu, Amarjit
Chowdhury, Shovan
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (06) : 1502 - 1514
[2] Orderings of the Smallest Claim Amounts from Exponentiated Location-Scale Models
Sangita Das
Suchandan Kayal
N. Balakrishnan
[J]. Methodology and Computing in Applied Probability, 2021, 23 : 971 - 999
[3] Ordering results of the smallest and largest order statistics from independent heterogeneous exponentiated gamma random variables
Fang, Longxiang
Xu, Tingtao
[J]. STATISTICA NEERLANDICA, 2019, 73 (02) : 197 - 210
[4] Orderings of the Smallest Claim Amounts from Exponentiated Location-Scale Models
Das, Sangita
Kayal, Suchandan
Balakrishnan, N.
[J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2021, 23 (03) : 971 - 999
[5] Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples
Das, Sangita
Kayal, Suchandan
[J]. METRIKA, 2020, 83 (08) : 869 - 893
[6] ORDERING RESULTS ON EXTREMES OF EXPONENTIATED LOCATION-SCALE MODELS
Das, Sangita
Kayal, Suchandan
Choudhuri, Debajyoti
[J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2021, 35 (02) : 331 - 354
[7] Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples
Sangita Das
Suchandan Kayal
[J]. Metrika, 2020, 83 : 869 - 893
[8] Ordering properties of the smallest order statistics from generalized Birnbaum–Saunders models with associated random shocks
Longxiang Fang
N. Balakrishnan
[J]. Metrika, 2018, 81 : 19 - 35
[9] Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks
Fang, Longxiang
Balakrishnan, N.
[J]. METRIKA, 2018, 81 (01) : 19 - 35
[10] Ordering properties of order statistics from heterogeneous exponentiated Weibull models
Kundu, Amarjit
Chowdhury, Shovan
[J]. STATISTICS & PROBABILITY LETTERS, 2016, 114 : 119 - 127

← 1 2 3 4 →