Ordering results of extreme order statistics from dependent and heterogeneous modified proportional (reversed) hazard variables

被引：8
|
作者：
Zhang, Miaomiao [1 ]
Lu, Bin [1 ]
Yan, Rongfang [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
MPHR and MPRHR models; Archimedean copula; stochastic orders; majorization; SYSTEMS; FAMILY;
D O I：
10.3934/math.2021036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we carry out stochastic comparisons on extreme order statistics (i.e. smallest and largest order statistics) from dependent and heterogeneous samples following modified proportional hazard rates (MPHR) and modified proportional reversed hazard rates (MPRHR) models. We build the usual stochastic order for sample minimums and maximums, and the hazard rate order on minimums of sample and the reversed hazard rate order on maximums of sample are also derived, respectively. Finally, some examples are given to illustrate the theoretical results.
引用
收藏
页码：584 / 606
页数：23
相关论文
共 34 条
  • [21] Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables
    Li, Chen
    Li, Xiaohu
    STATISTICS & PROBABILITY LETTERS, 2019, 146 : 104 - 111
  • [22] Stochastic comparisons of extreme order statistic from dependent and heterogeneous lower-truncated Weibull variables under Archimedean copula
    Zhang, Xiao
    Yan, Rongfang
    AIMS MATHEMATICS, 2022, 7 (04): : 6852 - 6875
  • [23] Stochastic comparisons of second largest order statistics with dependent heterogeneous random variables
    Guo, Man-Yuan
    Zhang, Jiandong
    Yan, Rongfang
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024,
  • [24] Ordering properties of order statistics from heterogeneous exponentiated Weibull models
    Kundu, Amarjit
    Chowdhury, Shovan
    STATISTICS & PROBABILITY LETTERS, 2016, 114 : 119 - 127
  • [25] Ordering results of second order statistics from random and non-random number of random variables with Archimedean copulas
    Lu, Bin
    Yan, Rongfang
    AIMS MATHEMATICS, 2021, 6 (06): : 6390 - 6405
  • [26] On extreme order statistics from heterogeneous beta distributions with applications
    Zhao, Peng
    Wang, Lei
    Zhang, Yiying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (14) : 7020 - 7038
  • [27] Dispersion and variation orders of extreme order statistics from dependent unit gamma Gompertz random variables
    Shekari, M.
    Pakdaman, Z.
    Barmalzan, G. Saadat Kia
    Balakrishnan, N.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [28] Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model
    Panja, Arindam
    Kundu, Pradip
    Pradhan, Biswabrata
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (19) : 6936 - 6959
  • [29] Comparisons of order statistics from heterogeneous negative binomial variables with applications
    Chen, Jianbin
    Zhang, Yiying
    Zhao, Peng
    STATISTICS, 2019, 53 (05) : 990 - 1011
  • [30] A stochastic inequality for the largest order statistics from heterogeneous gamma variables
    Zhao, Peng
    Balakrishnan, N.
    JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 129 : 145 - 150
1234