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ON NEW MOMENT ESTIMATION OF PARAMETERS OF THE GENERALIZED GAMMA DISTRIBUTION USING IT'S CHARACTERIZATION
Ping-Huang Huang, 黃炳煌, Tea-Yuan Hwang and 黃提源
Taiwanese Journal of Mathematics
Vol. 10, No. 4 (June 2006), pp. 1083-1093
Published by: Mathematical Society of the Republic of China
Stable URL: http://www.jstor.org/stable/43833722
Page Count: 11
You can always find the topics here!Topics: Estimators, Maximum likelihood estimation, Estimation bias, Sampling bias, Mathematical moments, Error rates, Maximum likelihood estimators, Mathematical procedures, Coefficients, Mathematics
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In this paper, the three estimators for three parameters of the generalized gamma distribution are proposed by using its characterization, and shown to be more convenient and more efficient than the maximum likelihood estimator for small samples. Furthermore, the estimators for the parameter of its special distribution such as gamma and Weibull distributions which are the most important in the reliability field and survival analysis are obtained.
Taiwanese Journal of Mathematics © 2006 Mathematical Society of the Republic of China