Parameter Estimation for a Burr XII Distribution under Progressive Censoring

被引：0

作者：

Maurya R.K. ^{[1
]}

Tripathi Y.M. ^{[1
]}

Rastogi M.K. ^{[2
]}

Asgharzadeh A. ^{[3
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Patna, Bihta

[2] National Institute of Pharmaceutical Education and Research, Hajipur

[3] Department of Statistics, University of Mazandaran, Babolsar

来源：

American Journal of Mathematical and Management Sciences | 2017年 / 36卷 / 03期

关键词：

Bayes estimator - Burr type-xii distributions - Confidence interval - EM algorithms - Loss functions - Maximum likelihood estimator - Real life data - Simulation studies;

D O I：

10.1080/01966324.2017.1334604

中图分类号：

学科分类号：

摘要：

SYNOPTIC ABSTRACT: This article deals with the problem of estimating unknown parameters of a Burr Type XII distribution with the data that are progressive Type-II censored. The maximum likelihood estimators are derived using an EM algorithm. Approximate confidence intervals based on the observed Fisher information matrix and bootstrap intervals of the unknown parameters are obtained. Bayes estimators are derived under different loss functions by making use of the Tierney and Kadane method and importance sampling procedure. Samples obtained from the importance sampling procedure are further used to construct the highest posterior density intervals of unknown parameters. A simulation study is conducted to study the performance of proposed estimators. Finally, a real life data and a simulated data are analyzed for illustration. © 2017 Taylor & Francis Group, LLC.

引用

页码：259 / 276

页数：17

共 50 条

[21] PARAMETER ESTIMATION FOR THE THREE-PARAMETER BURR-XII DISTRIBUTION UNDER ACCELERATED LIFE TESTING WITH TYPE I CENSORING USING PARTICLE SWARM OPTIMIZATION ALGORITHM
Xin, Hua
Zhu, Jianping
Tsai, Tzong-Ru
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2018, 14 (05): : 1959 - 1968
[22] Inference for a competing risks model with Burr XII distributions under generalized progressive hybrid censoring
Chandra, Prakash
Mahto, Amulya Kumar
Tripathi, Yogesh Mani
BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2023, 37 (03) : 566 - 595
[23] On estimating the parameters of the Burr XII model under progressive type-I interval censoring
Belaghi, R. Arabi
Asl, M. Noori
Singh, Sukhdev
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (16) : 3132 - 3151
[24] Entropy-based parameter estimation for extended Burr XII distribution
Hao, Zengchao
Singh, Vijay P.
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2009, 23 (08) : 1113 - 1122
[25] Entropy-based parameter estimation for extended Burr XII distribution
Zengchao Hao
Vijay P. Singh
Stochastic Environmental Research and Risk Assessment, 2009, 23 : 1113 - 1122
[26] An algorithm for maximum likelihood estimation in the three parameter Burr XII distribution
Watkins, AJ
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1999, 32 (01) : 19 - 27
[27] Estimation for the mixture of flexible Weibull extension and Burr XII distributions under adaptive Type-II progressive censoring scheme
Kamal R.M.
Ismail M.A.
International Journal of Reliability and Safety, 2022, 15 (04) : 271 - 305
[28] Estimation for the two-parameter Pareto distribution under progressive censoring with uniform removals
Wu, SJ
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2003, 73 (02) : 125 - 134
[29] Parameters estimation of Burr-XII distribution under first-failure progressively unified hybrid censoring schemes
Jia, Jun-mei
Yan, Zai-zai
Peng, Xiu-yun
STATISTICAL ANALYSIS AND DATA MINING, 2018, 11 (06) : 271 - 281
[30] Reliability sampling design for the lifetime performance index of Burr XII lifetime distribution under progressive type I interval censoring
Wu, Shu-Fei
Cheng, Yi-Wun
Kang, Che-Wei
Chang, Wei-Tsung
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (11) : 5483 - 5497

← 1 2 3 4 5 →