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Estimating sample size with weibull failure
Authors:
S.K. Ashour a;
O.A. Shalaby b
| Affiliations: | a Department of Statistics, Cairo University, Institute of Statistical Studies and Research, King Abdulaziz University, Faculty of Sciences, EGYPT, Jaddah, Kingdom of Saudi Arabia |
| b Zagazige University, EGYPT |
DOI:
10.1080/02331888308801706
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
In censored type I samples, the total number n of individuals may be unknown. If the parent distribution is exponential, BLUMENTHAL-MARCUS (1975) estimated n using Bayesian and non-Bayesian approaches. In the present work we shall extend their results to the case where the underlying life time distribution is Weibull. This extension will include the non-Bayesian and Bayesian estimators. A numerical investigation is also presented.
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| Keywords: Censored samples; exponential; weibull; Bayesian estimator; sample size; conditional and unconditional maximum likelihood estimator |
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