On stochastic comparisons of finite mixture models

被引：9

作者：

Panja, Arindam ^{[1
]}

Kundu, Pradip ^{[2
]}

Pradhan, Biswabrata ^{[1
]}

机构：

[1] Indian Stat Inst, SQC & OR Unit, Kolkata, India

[2] Birla Global Univ, Decis Sci & Operat Management, Bhubaneswar, Odisha, India

来源：

STOCHASTIC MODELS | 2022年 / 38卷 / 02期

关键词：

Finite mixture models; multivariate majorization orders; proportional odds model; proportional hazards model; proportional reversed hazards model; stochastic orders; PARALLEL SYSTEMS; GAMMA;

D O I：

10.1080/15326349.2021.1987264

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 establish some stochastic comparison results for two finite mixture models where the corresponding random variables follow one of the parental families of distributions, namely, proportional odds, proportional hazards, and proportional reversed hazards. The results of this paper are illustrated with numerical examples.

引用

收藏

页码：190 / 213

页数：24

相关论文

共 29 条

[1] Stochastic comparisons on two finite mixture models [J].

Amini-Seresht, Ebrahim ;

Zhang, Yiying .

OPERATIONS RESEARCH LETTERS, 2017, 45 (05) :475-480

[2] The alpha-mixture of survival functions [J].

Asadi, Majid ;

Ebrahimi, Nader ;

Soofi, Ehsan S. .

JOURNAL OF APPLIED PROBABILITY, 2019, 56 (04) :1151-1167

[3] Multivariate stochastic comparisons of multivariate mixture models and their applications [J].

Balakrishnan, Narayanaswamy ;

Barmalzan, Ghobad ;

Haidari, Abedin .

JOURNAL OF MULTIVARIATE ANALYSIS, 2016, 145 :37-43

[4] On stochastic comparisons of finite α-mixture models [J].

Barmalzan, Ghobad ;

Kosari, Sajad ;

Zhang, Yiying .

STATISTICS & PROBABILITY LETTERS, 2021, 173

[5] ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS [J].

Barmalzan, Ghobad ;

Kosari, Sajad ;

Balakrishnan, Narayanaswamy .

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2022, 36 (02) :461-481

[6]

Bennett S, 1983, Stat Med, V2, P273, DOI 10.1002/sim.4780020223

[7]

Collett D., 2004, Modelling Survival Data in Medical Research

[8] The marshall-olkin family of distributions: Mathematical properties and new models [J].

Cordeiro G.M. ;

Lemonte A.J. ;

Ortega E.M.M. .

Journal of Statistical Theory and Practice, 2014, 8 (2) :343-366

[9]

Finkelstein M, 2008, SPRINGER SER RELIAB, P1

[10] Proportional reversed hazard rate model and its applications [J].

Gupta, Ramesh C. ;

Gupta, Rameshwar D. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (11) :3525-3536