Inferences Under Step-Stress Partially Accelerated Life Tests for Linear Exponential Distribution Based on Progressive Type-II Censored Data

被引：1

作者：

Fawzy, Mohamad A. ^{[1
,2
]}

机构：

[1] Taibah Univ, Fac Sci, Math Dept, Medina, Saudi Arabia

[2] Suez Univ, Fac Sci, Math Dept, Suez, Egypt

来源：

JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS | 2019年 / 20卷 / 01期

关键词：

Step-stress partially accelerated life test; Linear exponential distribution; Maximum likelihood estimation; Bayes estimation; Markov chain Monte Carlo method; Progressive Type-II censoring; 62-XX; 62Fxx; 62F15;

D O I：

10.1007/s41096-019-00062-x

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 paper, estimation problem for the parameters of linear exponential distribution based on step-stress partially accelerated life test under progressive Type-II censoring schemes is considered. To obtain the estimation for the distribution parameters and acceleration factor the maximum likelihood and Bayesian methods are used for this purpose. In addition, observed Fisher information matrix to find the confidence intervals of the model parameters is derived. By using Markov chain Monte Carlo method, approximate Bayes estimates under loss functions are obtained. Finally, a simulation study and a numerical example for illustration are conducted.

引用

页码：65 / 79

页数：15

共 50 条

[1] Inferences Under Step-Stress Partially Accelerated Life Tests for Linear Exponential Distribution Based on Progressive Type-II Censored Data
Mohamad A. Fawzy
Journal of the Indian Society for Probability and Statistics, 2019, 20 : 65 - 79
[2] Inferences for Weibull-Exponential Distribution Based on Progressive Type-II Censoring Under Step-Stress Partially Accelerated Life Test Model
EL-Sagheer, Rashad M.
Mahmoud, Mohamed A. W.
Nagaty, Heba
JOURNAL OF STATISTICAL THEORY AND PRACTICE, 2019, 13 (01)
[3] Inferences for Weibull-Exponential Distribution Based on Progressive Type-II Censoring Under Step-Stress Partially Accelerated Life Test Model
Rashad M. EL-Sagheer
Mohamed A. W. Mahmoud
Heba Nagaty
Journal of Statistical Theory and Practice, 2019, 13
[4] Inferences on a simple step-stress model with type-II censored exponential data
Southeast Missouri State Univ, Cape Girardeau, United States
IEEE Trans Reliab, 2 (142-146):
[5] Inferences on a simple step-stress model with type-II censored exponential data
Xiong, CJ
IEEE TRANSACTIONS ON RELIABILITY, 1998, 47 (02) : 142 - 146
[6] Interval estimation for exponential progressive Type-II censored step-stress accelerated life-testing
Wang, Bing Xing
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (09) : 2706 - 2718
[7] Estimations with Step-Stress Partially Accelerated Life Tests for Ailamujia Distribution under Type-I Censored Data
Amleh, Mohammad A.
Al-Freihat, Israa F.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
[8] Estimations with step-stress partially accelerated life tests for competing risks Burr XII lifetime model under type-II censored data
Aljohani, Hassan M.
Alfar, Nada M.
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1171 - 1180
[9] Parametric inference on step-stress accelerated life testing for the extension of exponential distribution under progressive type-II censoring
El-Din, M. M. Mohie
Abu-Youssef, S. E.
Ali, Nahed S. A.
Abd El-Raheem, A. M.
COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2016, 23 (04) : 269 - 285
[10] On Step-Stress Partially Accelerated Life Testing with Competing Risks Under Progressive Type-II Censoring
El-Azeem S.O.A.
Abu-Moussa M.H.
El-Din M.M.M.
Diab L.S.
Annals of Data Science, 11 (03) : 909 - 930

← 1 2 3 4 5 →