Estimation of Multicomponent Stress-Strength Reliability with Exponentiated Generalized Inverse Rayleigh Distribution

被引：0
作者：
Temraz, Neama Salah Youssef [1 ,2 ]
机构：
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Al Kharj, Saudi Arabia
[2] Tanta Univ, Fac Sci, Math Dept, Tanta, Egypt
来源：
ENGINEERING LETTERS | 2024年 / 32卷 / 08期
关键词：
Reliability; stress-strength; exponentiated generalized inverse Rayleigh distribution (EGIR); maximum likelihood estimation; least square estimation; Cramer-Von-Mises estimation; Bayesian estimation; MODEL;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, an estimation of the multicomponent stress-strength reliability is introduced subject to the exponentiated generalized inverse Rayleigh distribution. Different methods of estimation are introduced to estimate the multicomponent stress-strength reliability. Simulation method is introduced to illustrate the steps of finding the estimates of the multicomponent stress-strength reliability. Asymptotic and bootstrap confidence intervals are proposed in order to find interval estimations for the multicomponent stress-strength reliability. A Bayesian estimation method is introduced for the multicomponent stress-strength reliability. A simulation study is introduced to obtain the estimates of the multicomponent stress-strength reliability for the different methods of estimation. A real data application is introduced to show how the exponentiated generalized inverse Rayleigh distribution is used to fit the real data sets.
引用
收藏
页码：1623 / 1631
页数：9
相关论文
共 24 条
  • [1] A comparative inference on reliability estimation for a multi-component stress-strength model under power Lomax distribution with applications
    Ahmad, Hanan Haj
    Almetwally, Ehab M.
    Ramadan, Dina A.
    [J]. AIMS MATHEMATICS, 2022, 7 (10): : 18050 - 18079
  • [2] Reliability estimation in multicomponent stress-strength model for Topp-Leone distribution
    Akgul, Fatma Gul
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2019, 89 (15) : 2914 - 2929
  • [3] Bayesian and non-Bayesian reliability estimation of multicomponent stress-strength model for unit Weibull distribution
    Alotaibi, Refah Mohammed
    Tripathi, Yogesh Mani
    Dey, Sanku
    Rezk, Hoda Ragab
    [J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 1164 - 1181
  • [4] ESTIMATION OF RELIABILITY IN A MULTICOMPONENT STRESS-STRENGTH MODEL
    BHATTACHARYYA, GK
    JOHNSON, RA
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1974, 69 (348) : 966 - 970
  • [5] Multistate models as a framework for estimand specification in clinical trials of complex processes
    Buehler, Alexandra
    Cook, Richard J.
    Lawless, Jerald F.
    [J]. STATISTICS IN MEDICINE, 2023, 42 (09) : 1368 - 1397
  • [6] Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution
    Dey, Sanku
    Mazucheli, Josmar
    Anis, M. Z.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (04) : 1560 - 1572
  • [7] BAYESIAN-ANALYSIS OF RELIABILITY IN MULTICOMPONENT STRESS-STRENGTH MODELS
    DRAPER, NR
    GUTTMAN, I
    [J]. COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1978, 7 (05): : 441 - 451
  • [8] Fatima K., 2018, Pakistan J. Statistic., V34, P425
  • [9] 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
  • [10] Estimation of reliability in a multicomponent stress- strength model based on generalized linear failure rate distribution
    Hassan, M. Kh.
    Alohali, M. I.
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (06): : 1634 - 1651
123