Kragujevac J. Math. 25 (2003) 65-73.

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.