Bayesian Estimation Under Constant-Stress Partially Accelerated Life Test for Pareto Distribution with Type-I Censoring

被引：0
|
作者：
Ali A. Ismail
机构：
[1] King Saud University,
[2] College of Science,undefined
[3] Department of Statistics and Operations Research,undefined
[4] Cairo University,undefined
[5] Faculty of Economics & Political Science,undefined
[6] Department of Statistics,undefined
来源：
Strength of Materials | 2015年 / 47卷
关键词：
reliability; testing; maximum likelihood estimation; Bayesian estimation; squared error loss function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article discusses likelihood and Bayesian estimations under constant-stress partially accelerated life test model with type-I censoring assuming Pareto distribution of the second kind. Both maximum likelihood and Bayesian estimators of the model parameters are derived. The posterior means and posterior variances are obtained under the squared error loss function using Lindley’s approximation procedure. The advantages of this approximation are shown. Monte Carlo simulations are made under different samples sizes and different parameter values for evaluating and comparing the proposed methods of estimation.
引用
收藏
页码：633 / 641
页数：8
相关论文
共 50 条
  • [1] Bayesian Estimation Under Constant-Stress Partially Accelerated Life Test for Pareto Distribution with Type-I Censoring
    Ismail, Ali A.
    [J]. STRENGTH OF MATERIALS, 2015, 47 (04) : 633 - 641
  • [2] Optimum constant-stress life test plans for Pareto distribution under type-I censoring
    Ismail, Ali A.
    Abdel-Ghaly, Abdalla A.
    El-Khodary, Eman H.
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (12) : 1835 - 1845
  • [3] Estimation of Constant Stress Partially Accelerated Life Test for Frechet Distribution with Type-I Censoring
    Ahmadini, Abdullah Ali H.
    Mashwani, Wali Khan
    Sherwani, Rehman Ahmad Khan
    Alshqaq, Shokrya S.
    Jamal, Farrukh
    Miftahuddin, Miftahuddin
    Abbas, Kamran
    Razaq, Faiza
    Elgarhy, Mohammed
    Al-Marzouki, Sanaa
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [4] Optimal Plans and Estimation of Constant-Stress Accelerated Life Tests for the Extension of the Exponential Distribution under Type-I Censoring
    Abd El-Raheem, A. M.
    [J]. JOURNAL OF TESTING AND EVALUATION, 2019, 47 (05) : 3781 - 3821
  • [5] Reliability model for dual constant-stress accelerated life test with Weibull distribution under Type-I censoring scheme
    Feng, Xuefeng
    Tang, Jiayin
    Tan, Qitao
    Yin, Zekai
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (24) : 8579 - 8597
  • [6] Exact Confidence Limits for the Acceleration Factor Under Constant-Stress Partially Accelerated Life Tests With Type-I Censoring
    Zheng, Deqiang
    Fang, Xiangzhong
    [J]. IEEE TRANSACTIONS ON RELIABILITY, 2018, 67 (01) : 92 - 104
  • [7] Inference of constant-stress accelerated life test for a truncated distribution under progressive censoring
    Wang, Liang
    [J]. APPLIED MATHEMATICAL MODELLING, 2017, 44 : 743 - 757
  • [8] Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme
    Rabie, Abdalla
    Hussam, Eslam
    Muse, Abdisalam Hassan
    Aldallal, Ramy Abdelhamid
    Alharthi, Amirah Saeed
    Aljohani, Hassan M.
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [9] E-Bayesian estimation for a constant-stress partially accelerated life test based on Burr-X Type-I hybrid censored data
    Rabie, Abdalla
    [J]. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2021, 24 (08): : 1649 - 1667
  • [10] Estimation in constant-stress accelerated life tests for extension of the exponential distribution under progressive censoring
    El-Din M.M.M.
    Abu-Youssef S.E.
    Ali N.S.A.
    El-Raheem A.M.A.
    [J]. METRON, 2016, 74 (2) : 253 - 273
12345