Bayesian Estimation for Generalized Exponential Distribution Based on Progressive Type-I Interval Censoring

被引：15
|
作者：
Peng, Xiu-yun [1 ]
Yan, Zai-zai [1 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2013年 / 29卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Bayesian inference; Lindley's approximation; Monte Carlo method; WEIBULL-DISTRIBUTION; INFERENCE; PARAMETERS; GAMMA;
D O I：
10.1007/s10255-013-0222-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we consider the Bayesian estimation of unknown parameters and reliability function of the generalized exponential distribution based on progressive type-I interval censoring. The Bayesian estimates of parameters and reliability function cannot be obtained as explicit forms by applying squared error loss and Linex loss functions, respectively; thus, we present the Lindley's approximation to discuss these estimations. Then, the Bayesian estimates are compared with the maximum likelihood estimates by using the Monte Carlo simulations.
引用
收藏
页码：391 / 402
页数：12
相关论文
共 50 条
  • [21] Interval Estimation for the Two-Parameter Exponential Distribution under Progressive Type II Censoring on the Bayesian Approach
    Wu, Shu-Fei
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [22] BAYESIAN VARIABLE SAMPLING PLANS FOR THE EXPONENTIAL-DISTRIBUTION WITH TYPE-I CENSORING
    YEH, L
    [J]. ANNALS OF STATISTICS, 1994, 22 (02): : 696 - 711
  • [23] Bayesian estimation for the exponential distribution based on generalized multiply Type-II hybrid censoring
    Jeon, Young Eun
    Kang, Suk-Bok
    [J]. COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2020, 27 (04) : 413 - 430
  • [24] Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring
    Mahmoud, Mahmoud R.
    Muhammed, Hiba Z.
    El-Saeed, Ahmed R.
    Abdellatif, Ashraf D.
    [J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2021, 20 (02): : 380 - 394
  • [25] Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring
    Mahmoud R. Mahmoud
    Hiba Z. Muhammed
    Ahmed R. El-Saeed
    Ashraf D. Abdellatif
    [J]. Journal of Statistical Theory and Applications, 2021, 20 : 380 - 394
  • [26] E-Bayesian Estimation of Chen Distribution Based on Type-I Censoring Scheme
    Algarni, Ali
    Almarashi, Abdullah M.
    Okasha, Hassan
    Ng, Hon Keung Tony
    [J]. ENTROPY, 2020, 22 (06)
  • [27] Bayesian Estimation and Optimal Censoring of Inverted Generalized Linear Exponential Distribution Using Progressive First Failure Censoring
    Mahmoud M.A.W.
    Ghazal M.G.M.
    Radwan H.M.M.
    [J]. Annals of Data Science, 2023, 10 (02) : 527 - 554
  • [28] Control charts for monitoring mean of generalized exponential distribution with type-I censoring
    Ahmed, Nabeel
    Ali, Sajid
    Shah, Ismail
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2022, 38 (01) : 592 - 614
  • [29] E-Bayesian Estimation for Burr-X Distribution Based on Generalized Type-I Hybrid Censoring Scheme
    Rabie A.
    Li J.
    [J]. Rabie, Abdalla (abuda_math@csu.edu.cn), 1600, Taylor and Francis Ltd. (39): : 41 - 55
  • [30] Estimation of the Parameters of the Generalized Inverted Exponential Distribution with Progressive type I Interval Censored Data
    Hasana, Rana
    Al-Mosawib, Riyadh R.
    Qadera, Abdullah Abdul
    [J]. ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2023, 16 (02) : 339 - 381
12345