MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals

2006 ◽  
Vol 181 (2) ◽  
pp. 1657-1670 ◽  
Author(s):  
Chin-Chuan Wu ◽  
Shu-Fei Wu ◽  
Huang-Yu Chan
Keyword(s):  
Test Time ◽  
Progressive Censoring ◽  
Gompertz Distribution ◽  
Two Parameter

scholarly journals On Performance of Two-Parameter Gompertz-Based X¯ Control Charts

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Johnson A. Adewara ◽  
Kayode S. Adekeye ◽  
Olubisi L. Aako
Keyword(s):  
Control Chart ◽  
Coverage Probability ◽  
Control Charts ◽  
Average Run Length ◽  
Real Life ◽  
Correction Method ◽  
Gompertz Distribution ◽  
Real Life Data ◽  
Control Limits ◽  
Two Parameter

In this paper, two methods of control chart were proposed to monitor the process based on the two-parameter Gompertz distribution. The proposed methods are the Gompertz Shewhart approach and Gompertz skewness correction method. A simulation study was conducted to compare the performance of the proposed chart with that of the skewness correction approach for various sample sizes. Furthermore, real-life data on thickness of paint on refrigerators which are nonnormal data that have attributes of a Gompertz distribution were used to illustrate the proposed control chart. The coverage probability (CP), control limit interval (CLI), and average run length (ARL) were used to measure the performance of the two methods. It was found that the Gompertz exact method where the control limits are calculated through the percentiles of the underline distribution has the highest coverage probability, while the Gompertz Shewhart approach and Gompertz skewness correction method have the least CLI and ARL. Hence, the two-parameter Gompertz-based methods would detect out-of-control faster for Gompertz-based X¯ charts.

scholarly journals Bayes Estimation Under Different Censoring Patterns On Constant-Stress PALT

2018 ◽  
Vol 47 (4) ◽  
pp. 60-74
Author(s):  
Gyan Prakash
Keyword(s):  
Bayes Estimation ◽  
Constant Stress ◽  
Accelerated Life Test ◽  
Loss Functions ◽  
Bayes Estimators ◽  
Life Test ◽  
Gompertz Distribution ◽  
Accelerated Life ◽  
Special Cases ◽  
Two Parameter

Two-Parameter Gompertz distribution is considered here for the Bayesian inference under the Constant-Stress Partially Accelerated Life Test (CS-PALT). The first-failure Progressive (FFP) censoring pattern and its special cases have used for the analysis based on Bayes estimators of all the parameters under two different asymmetric loss functions and their special cases. A simulation study has carried out for the numerical analysis.

Interval estimation of a two-parameter Burr-XII distribution under progressive censoring

Statistics ◽  
2009 ◽  
Vol 44 (1) ◽  
pp. 77-88 ◽  
Author(s):  
Shu-Fei Wu ◽  
Chin-Chuan Wu ◽  
Yung-Lin Chen ◽  
Yuh-Ru Yu ◽  
Ying Po Lin
Keyword(s):  
Interval Estimation ◽  
Progressive Censoring ◽  
Burr Xii Distribution ◽  
Two Parameter
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