scholarly journals Generalized Type-I Hybrid Censoring Scheme in Estimation Competing Risks Chen Lifetime Populations

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Neveen Sayed-Ahmed ◽  
Taghreed M. Jawa ◽  
Tahani A. Aloafi ◽  
F. S. Bayones ◽  
Azhari A. Elhag ◽  
...  
Keyword(s):  
Credible Interval ◽  
Test Time ◽  
Type I ◽  
Time To Failure ◽  
Hybrid Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Minimum Number ◽  
Censoring Scheme ◽  
Generalized Type

Different types of censoring scheme are investigated; however, statistical inference on censoring scheme which can save the ideal test time and the minimum number of failures is needed. The generalized type-I hybrid censoring scheme (GHCS) solves this problem. Competing the risk models under the GHCS when time to failure has Chen lifetime distribution (CD) is adopted in this research with consideration of only two cases of failure. Partially step-stress accelerated life tests (ALTs) are applied to obtain enough failure times in a small period to achieve a highly reliable product. The problem of parameter estimation under maximum likelihood (ML) and Bayes methods is discussed. The asymptotic confidence interval as well as the Bayes credible interval is constructed. The validity of theoretical results is assessed and compared through simulation study. Finally, brief comments are reported to describe the behaviour of the estimation results.

scholarly journals Inference for Step-Stress Partially Accelerated Life Test Model with an Adaptive Type-I Progressively Hybrid Censored Data

2021 ◽  
Vol 19 (1) ◽  
pp. 2-20
Author(s):  
Showkat Ahmad Lone ◽  
Ahmadur Rahman ◽  
Tanveer A. Tarray
Keyword(s):  
Rayleigh Distribution ◽  
Accelerated Life Test ◽  
Model Parameters ◽  
Type I ◽  
Test Model ◽  
Hybrid Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests ◽  
Maximum Likelihood Estimations

Consider estimating data of failure times under step-stress partially accelerated life tests based on adaptive Type-I hybrid censoring. The mathematical model related to the lifetime of the test units is assumed to follow Rayleigh distribution. The point and interval maximum-likelihood estimations are obtained for distribution parameter and tampering coefficient. Also, the work is conducted under a traditional Type-I hybrid censoring plan (scheme). A Monte Carlo simulation algorithm is used to evaluate and compare the performances of the estimators of the tempering coefficient and model parameters under both progressively hybrid censoring plans. The comparison is carried out on the basis of mean squared errors and bias.

scholarly journals The E-Bayesian Estimation for Lomax Distribution Based on Generalized Type-I Hybrid Censoring Scheme

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Kaiwei Liu ◽  
Yuxuan Zhang
Keyword(s):  
Bayesian Estimation ◽  
Credible Interval ◽  
Type I ◽  
Hybrid Censoring ◽  
Lomax Distribution ◽  
Censored Samples ◽  
Linex Loss ◽  
Kolmogorov Smirnov ◽  
Bayesian Estimations ◽  
Generalized Type

This article studies the E-Bayesian estimation of the unknown parameter of Lomax distribution based on generalized Type-I hybrid censoring. Under square error loss and LINEX loss functions, we get the E-Bayesian estimation and compare its effectiveness with Bayesian estimation. To measure the error of E-Bayesian estimation, the expectation of mean square error (E-MSE) is introduced. With Markov chain Monte Carlo technology, E-Bayesian estimations are computed. Metropolis–Hastings algorithm is applied within the process. Similarly, the credible interval for the parameter is calculated. Then, we can compare the MSE and E-MSE to evaluate whose result is more effective. For the purpose of illustration in real datasets, cases of generalized Type-I hybrid censored samples are presented. In order to judge whether the sample data can be directly fitted by the Lomax distribution, we adopt the Kolmogorov–Smirnov tests for evaluation. Finally, we can get the conclusion after comparing the results of E-Bayesian and Bayesian estimation.

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