On log-logistic and a four-parameter generalized log-logistic distributions

Abstract
In this paper, we obtained the distribution of some functions of log-logistic random variables and derived a probability density function that generalizes the distribution. The cumulative distribution function, the nth moment, the median, the mode and the 100k-percentage points of the new generalized distribution are established. Two theorems that relate the non- generalized distribution to other statistical distributions are stated and proved.
Description
Keywords
Log-logistic, Uniform, Exponential, Gumbel distributions
Citation
Olapade, A. K. (2010). On log-logistic and a four-parameter generalized log-logistic distributions. Proceedings of the Jangjeon Mathematical Society, 13(1): 67-76
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