ON THE GENERALIZED LOGISTIC AND LOG-LOGISTIC DISTRIBUTIONS
M. O. Ojo and A. K. Olapade
Department of Mathematics, Obafemi Awolowo University,
Ile-Ife, Nigeria
(Received April 23, 2003)
Abstract. In this
paper, the generalized logistic and the generalized log-logistic
distributions are considered. Some theorems that characterize the
generalized logistic distribution are proved. Furthermore, a
generalization of the log-logistic distribution is defined and its
moments are determined. It is pointed out that the t-approximation
for the F-distribution proposed in Ojo (1985) can be used to
evaluate the cumulative distribution function of the generalized
log-logistic distribution. Finally, some relationships between the
generalized log-logistic and other distributions are established.