Reliability Analysis of a Cold Standby System under Progressive Type-II Censoring Date

2012 ◽  
Vol 459 ◽  
pp. 540-543 ◽  
Author(s):  
Feng Li
Keyword(s):  
Confidence Interval ◽  
Empirical Bayes ◽  
Reliability Function ◽  
Type Ii ◽  
Confidence Limits ◽  
Average Life ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Cold Standby ◽  
Progressive Type Ii Censoring

the exact confidence interval estimations and the approximate confidence interval estimations of the reliability indexes for a cold standby series system are investigated under progressive type-II censoring date, the formulae to calculate the exact confidence limits and the empirical Bayes approximate confidence limits of the failure rate, and the reliability function and average life are given. In order to investigate the accuracy of estimations, an illustrative example is examined numerically by means of Monte-Carlo simulation.

Bayesian estimation of reliability indexes for cold standby system under general progressive Type II censored data

2014 ◽  
Vol 31 (3) ◽  
pp. 311-343 ◽  
Author(s):  
D.R. Barot ◽  
M.N. Patel
Keyword(s):  
Empirical Bayes ◽  
Series System ◽  
Type Ii ◽  
Confidence Limits ◽  
Content Type ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Cold Standby ◽  
Censoring Scheme ◽  
Progressive Type Ii Censoring

Purpose – This paper aims to deal with the estimation of the empirical Bayesian exact confidence limits of reliability indexes of a cold standby series system with (n+k−1) units under the general progressive Type II censoring scheme. Design/methodology/approach – Assuming that the lifetime of each unit in the system is identical and independent random variable with exponential distribution, the exact confidence limits of the reliability indexes are derived by using an empirical Bayes approach when an exponential prior distribution of the failure rate parameter is considered. The accuracy of these confidence limits is examined in terms of their coverage probabilities by means of Monte-Carlo simulations. Findings – The simulation results show that accuracy of exact confidence limits of reliability indexes of a cold standby series system is efficient. Therefore, this approach is good enough to use for reliability practitioners in order to improve the system reliability. Practical implications – When items are costly, the general progressive Type II censoring scheme is used to reduce the total test time and the associated cost of an experiment. The proposed method provides the means to estimate the exact confidence limits of reliability indexes of the proposed cold standby series system under this scheme. Originality/value – The application of the proposed technique will help the reliability engineers/managers/system engineers in various industrial and other setups where a cold standby series system is widely used.

On estimation ofR=P(Y

2012 ◽  
Vol 82 (5) ◽  
pp. 729-744 ◽  
Author(s):  
Buğra Saraçoğlu ◽  
Ismail Kinaci ◽  
Debasis Kundu
Keyword(s):  
Exponential Distribution ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Progressive Type Ii Censoring

Estimation for flexible Weibull extension under progressive Type-II censoring

2021 ◽  
Vol 13 (1) ◽  
pp. 21-42
Author(s):  
Sanjay Kumar Singh ◽  
Umesh Singh ◽  
Vikas Kumar Sharma ◽  
Manoj Kumar
Keyword(s):  
Type Ii ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Progressive Type Ii Censoring

scholarly journals Estimations of Weibull-Geometric Distribution under Progressive Type II Censoring Samples

2015 ◽  
Vol 05 (07) ◽  
pp. 721-729 ◽  
Author(s):  
Azhari A. Elhag ◽  
Omar I. O. Ibrahim ◽  
Mohamed A. El-Sayed ◽  
Gamal A. Abd-Elmougod
Keyword(s):  
Geometric Distribution ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Progressive Type Ii Censoring
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