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APPROXIMATION LOG NORMAL DISTRIBUTION WITH GENERALIZED LOG-LOGISTIC (GLL) DISTRIBUTION THROUGH OF GENERALIZED GAMMA (GG) DISTRIBUTION
Generalized log-logistic (GLL) distribution is a generalization of the log-logistic distribution with four parameters . GLL distribution family includes some well-known distributions, such as exponential, gamma, Weibull, log normal, and log-logistic distributions, as special cases or limiting distributions. The purpose of this research is to approach a log-normal distribution with GLL distribution through of the generalized gamma (GG) distribution with parameters using the moment generating function from each distribution. From these results it can be concluded that the log-normal distribution can be approximated by GLL distribution through of the GG distribution with parameters using the moment generating function from each distribution. Keywords: Log Normal Distribution, Generalized Log-Logistic (GLL) Distribution, Generalized Gamma (GG) Distribution, MacLaurin Series, Moment Generating Function.
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