Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution

被引:67
|
作者
Dey, Sanku [1 ]
Mazucheli, Josmar [2 ]
Anis, M. Z. [3 ]
机构
[1] St Anthonys Coll, Dept Stat, Shillong 793001, Meghalaya, India
[2] Univ Estadual Maringa, Des, PR, Brazil
[3] Indian Stat Inst, SQC & OR Unit, Kolkata, India
关键词
Bayesian estimation; Kumaraswamy distribution; maximum likelihood estimation; reliability of multicomponent; PROBABILITY DENSITY-FUNCTION; RUN LENGTH CONTROL; BAYESIAN-ESTIMATION; YIELD; SYSTEM;
D O I
10.1080/03610926.2015.1022457
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
This article deals with the Bayesian and non Bayesian estimation of multicomponent stress-strength reliability by assuming the Kumaraswamy distribution. Both stress and strength are assumed to have a Kumaraswamy distribution with common and known shape parameter. The reliability of such a system is obtained by the methods of maximum likelihood and Bayesian approach and the results are compared using Markov Chain Monte Carlo (MCMC) technique for both small and large samples. Finally, two data sets are analyzed for illustrative purposes.
引用
收藏
页码:1560 / 1572
页数:13
相关论文
共 50 条
  • [31] Multicomponent stress-strength reliability estimation for the standard two-sided power distribution
    Cetinkaya, Cagatay
    Genc, Ali
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (02): : 587 - 605
  • [32] Estimation of Multicomponent Stress-strength Reliability under Inverse Topp-Leone Distribution
    Pasha-Zanoosi, Hossein
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2022, 18 (04) : 837 - 852
  • [33] Estimation of the stress-strength reliability for the generalized logistic distribution
    Asgharzadeh, A.
    Valiollahi, R.
    Raqab, Mohammad Z.
    [J]. STATISTICAL METHODOLOGY, 2013, 15 : 73 - 94
  • [34] On estimation of the stress-strength reliability on POLO distribution function
    Hamad, Alaa M.
    Salman, Bareq B.
    [J]. AIN SHAMS ENGINEERING JOURNAL, 2021, 12 (04) : 4037 - 4044
  • [35] Estimation of stress-strength reliability for the multivariate SGPII distribution
    Rezaei, Amir
    Yousefzadeh, Fatemeh
    Jomhoori, Sarah
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (16) : 3860 - 3881
  • [36] Reliability estimation in a multicomponent stress-strength model for Burr XII distribution under progressive censoring
    Maurya, Raj Kamal
    Tripathi, Yogesh Mani
    [J]. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2020, 34 (02) : 345 - 369
  • [37] Estimation of multicomponent stress-strength reliability following Weibull distribution based on upper record values
    Hassan, Amal S.
    Nagy, Heba F.
    Muhammed, Hiba Z.
    Saad, Mohammed S.
    [J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 244 - 253
  • [38] Estimation of reliability in a multicomponent stress-strength system for the exponentiated moment-based exponential distribution
    Rao G.S.
    Bhatti F.A.
    Aslam M.
    Albassam M.
    [J]. Algorithms, 2019, 12 (02):
  • [39] On Bayesian estimation of stress-strength reliability in multicomponent system for two-parameter gamma distribution
    Rathaur, V. K.
    Chandra, N.
    Vinit, Parmeet Kumar
    [J]. INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (08) : 3817 - 3832
  • [40] Estimation of Reliability in a Multicomponent Stress-Strength System for the Exponentiated Moment-Based Exponential Distribution
    Rao, G. Srinivasa
    Bhatti, Fiaz Ahmad
    Aslam, Muhammad
    Albassam, Mohammed
    [J]. ALGORITHMS, 2019, 12 (12)