Bayesian inference for two populations of Lomax distribution under joint progressive Type-II censoring schemes with engineering applications

被引:1
作者
Hasaballah, Mustafa M. [1 ]
Tashkandy, Yusra A. [2 ]
Balogun, Oluwafemi Samson [3 ]
Bakr, Mahmoud E. [2 ]
机构
[1] Marg Higher Inst Engn & Modern Technol, Dept Basic Sci, Cairo 11721, Egypt
[2] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh, Saudi Arabia
[3] Univ Eastern Finland, Dept Comp, Kuopio, Finland
关键词
Bayesian estimation; joint progressive censoring scheme; Lomax distributions; Markov chain Monte Carlo method; EXACT LIKELIHOOD INFERENCE; EXPONENTIAL POPULATIONS; RELIABILITY; BURR;
D O I
10.1002/qre.3633
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The joint progressive Type-II censoring scheme is an advantageous cost-saving strategy. In this paper, investigated classical and Bayesian methodologies for estimating the combined parameters of two distinct Lomax distributions employing the joint progressive Type-II censoring scheme. Maximum likelihood estimators have been derived, and asymptotic confidence intervals are presented. Bayesian estimates and their corresponding credible intervals are calculated, incorporating both symmetry and asymmetry loss functions through the utilization of the Markov Chain Monte Carlo (MCMC) method. The simulation aspect has employed the MCMC approximation method. Furthermore, discussed the practical application of these methods, providing illustration through the analysis of a real dataset.
引用
收藏
页码:4335 / 4351
页数:17
相关论文
共 50 条
[41]   Statistical inference for the reliability of Burr-XII distribution under improved adaptive Type-II progressive censoring [J].
Yan, Weian ;
Li, Piao ;
Yu, Yingxia .
APPLIED MATHEMATICAL MODELLING, 2021, 95 :38-52
[42]   Statistical Inference and Optimal Design of Accelerated Life Testing for the Chen Distribution under Progressive Type-II Censoring [J].
Zhang, Wenjie ;
Gui, Wenhao .
MATHEMATICS, 2022, 10 (09)
[43]   Classical and Bayesian Inference under Burr-X Distribution Based on New Unified Progressive Hybrid Censoring Scheme with Engineering Applications [J].
Ateya, Saieed F. ;
Alharbi, Randa ;
Kilai, Mutua ;
Aldallal, Ramy .
JOURNAL OF MATHEMATICS, 2022, 2022
[44]   Estimation for inverse Weibull distribution under progressive type-II censoring scheme [J].
Ren, Haiping ;
Hu, Xue .
AIMS MATHEMATICS, 2023, 8 (10) :22808-22829
[45]   Reliability estimation for Kumaraswamy distribution under block progressive type-II censoring [J].
Kumari, Rani ;
Tripathi, Yogesh Mani ;
Wang, Liang ;
Sinha, Rajesh Kumar .
STATISTICS, 2024, 58 (01) :142-175
[46]   Estimation and Bayesian Prediction for the Generalized Exponential Distribution Under Type-II Censoring [J].
Wang, Wei ;
Gui, Wenhao .
SYMMETRY-BASEL, 2025, 17 (02)
[47]   Confidence Intervals for Quantiles of a Two-parameter Exponential Distribution under Progressive Type-II Censoring [J].
Balakrishnan, N. ;
Hayter, A. J. ;
Liu, W. ;
Kiatsupaibul, S. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (14) :3001-3010
[48]   Statistical Inference of Inverse Weibull Distribution Under Joint Progressive Censoring Scheme [J].
Xiang, Jinchen ;
Wang, Yuanqi ;
Gui, Wenhao .
SYMMETRY-BASEL, 2025, 17 (06)
[49]   New generalization of compound Rayleigh distribution: Different estimation methods based on progressive type-II censoring schemes and applications [J].
Shojaee, Omid ;
Azimi, Reza .
APPLICATIONS OF MATHEMATICS, 2025, 70 (02) :231-256
[50]   Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring [J].
Tu, Jiayi ;
Gui, Wenhao .
ENTROPY, 2020, 22 (09)