Journal of the Korean Data and Information Science Society
- Volume 19 Issue 4
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- Pages.1335-1344
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- 2008
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- 1598-9402(pISSN)
Estimation for the Power Function Distribution Based on Type- II Censored Samples
- Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
- Jung, Won-Tae (Department of Statistics, Yeungnam University)
- Published : 2008.11.30
Abstract
The maximum likelihood method does not admit explicit solutions when the sample is multiply censored and progressive censored. So we shall propose some approximate maximum likelihood estimators (AMLEs) of the scale parameter for the power function distribution based on multiply Type-II censored samples and progressive Type-II censored samples when shape parameter is known. We compare the proposed estimators in the sense of the mean squared error (MSE) through Monte Carlo simulation for various censoring schemes.
Keywords
- Approximate maximum likelihood estimator;
- Multiply Type-II censored sample;
- Power function distribution;
- Progressive Type-II censored sample