Statistical Inference Based on Progressively Type II Censored Data from Weibull Model

被引：7

作者：

Abu Awwad, Raed R. ^{[1
]}

Raqab, Mohammad Z. ^{[2
]}

Al-Mudahakha, Intesar M. ^{[2
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

[2] Kuwait Univ, Dept Stat & Operat Res, Safat 13060, Kuwait

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2015年 / 44卷 / 10期

关键词：

Bayes estimation; Bayes prediction; Monte Carlo simulation; Progressive censoring data; Weibull distribution; BAYESIAN-ESTIMATION; ORDER-STATISTICS; PREDICTION; SAMPLES;

D O I：

10.1080/03610918.2013.842589

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we consider the problem of estimating the shape and scale parameters and predicting the unobserved removed data based on a progressive type II censored sample from the Weibull distribution. Maximum likelihood and Bayesian approaches are used to estimate the scale and shape parameters. The sampling-based method is used to draw Monte Carlo (MC) samples and it has been used to estimate the model parameters and also to predict the removed units in multiple stages of the censored sample. Two real datasets are presented and analyzed for illustrative purposes and Monte carlo simulations are performed to study the behavior of the proposed methods.

引用

页码：2654 / 2670

页数：17

共 50 条

[1] Statistical inference for modified Weibull distribution based on progressively type-II censored data
Kotb, M. S.
Raqab, M. Z.
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 162 : 233 - 248
[2] Statistical Inference of Type-II Progressively Hybrid Censored Data with Weibull Lifetimes
Lin, Chien-Tai
Ng, Hon Keung Tony
Chan, Ping Shing
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (10) : 1710 - 1729
[3] Statistical inference for the Rayleigh model based on progressively type-II censored data
Mousa, MAMA
Al-Sagheer, SA
[J]. STATISTICS, 2006, 40 (02) : 149 - 157
[4] STATISTICAL INFERENCE IN CONNECTION WITH THE WEIBULL MODEL USING TYPE-II PROGRESSIVELY CENSORED DATA WITH RANDOM SCHEME
Sarhan, Ammar M.
Al-Ruzaizaa, A.
[J]. PAKISTAN JOURNAL OF STATISTICS, 2010, 26 (01): : 267 - 279
[5] Inference for Weibull distribution based on progressively Type-II hybrid censored data
Mokhtari, Elham Bayat
Rad, A. Habibi
Yousefzadeh, F.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (08) : 2824 - 2838
[6] Statistical inference of Weibull distribution based on generalized progressively hybrid censored data
Zhu, Tiefeng
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 371
[7] STATISTICAL INFERENCE ON THE ACCELERATED COMPETING FAILURE MODEL FROM THE INVERSE WEIBULL DISTRIBUTION UNDER PROGRESSIVELY TYPE-II CENSORED DATA
Wang, Ying
Yan, Zai-Zai
[J]. THERMAL SCIENCE, 2021, 25 (03): : 2127 - 2134
[8] Statistical inference for the Burr model based on progressively censored data
Mousa, MAMA
Jaheen, ZF
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (10-11) : 1441 - 1449
[9] Statistical Inference of the Rayleigh Distribution Based on Progressively Type II Censored Competing Risks Data
Liao, Hongyi
Gui, Wenhao
[J]. SYMMETRY-BASEL, 2019, 11 (07):
[10] Statistical inference for the Gompertz distribution based on Type-II progressively hybrid censored data
El-Din, M. M. Mohie
Abdel-Aty, Y.
Abu-Moussa, M. H.
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (08) : 6242 - 6260

← 1 2 3 4 5 →