On size-biased generalized logarithmic series distribution
2009 ◽
Vol 46
(2)
◽
pp. 157-168
Keyword(s):
In this paper a size-biased generalized logarithmic series distribution (SBGLSD), a particular case of the weighted generalized logarithmic series distribution, taking the weights as the variate values is defined. The moments and recurrence relation of SBGLSD are obtained. We have also established the relationship between the moments of size-biased generalized logarithmic series distribution and size-biased generalized geometric series distribution (SBGGSD). Bayesian estimation of SBGLSD is discussed and a comparison is made with the generalized logarithmic series distribution (GLSD) by using the Monte Carlo simulation technique.
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