JISE


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Journal of Information Science and Engineering, Vol. 36 No. 6, pp. 1243-1260


Joint Type-I Generalized Hybrid Censoring for Estimation Two Weibull Distributions


ALI ALGARNI1, ABDULLAH M. ALMARASHI1
AND G. A. ABD-ELMOUGOD2
1Statistics Department
King Abdulaziz University
Jeddah, 21589 Saudi Arabia

2Mathematics Department
Damanhour University
Damanhour, 22511 Egypt
E-mail: ahalgarni@kau.edu.sa; almarashi.research@gmail.com; gamalamin@sci.dmu.edu.eg


Products come from different lines with the same facility are tested under comparative life tests which known with the jointly censoring scheme. In this paper, two sets of products under the same facility have Weibull lifetime distributions are selected to test under Type-I generalized hybrid censoring scheme (GHCS). The observed censoring data are used to build the maximum likelihood (ML) estimators as well as approximate confidence intervals for the model parameters. Also, Bayes estimators with the help of MCMC methods are discussed. The analysis of simulated data set with Monte Carlo simulation study is used to illustrate and compare the theoretical results. Finally, a brief comment is summarized in concluding section.


Keywords: joint Type-I generalized hybrid censoring,Weibull distributions, maximum likelihood estimation, Bayesian estimation, MCMC

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