The Type I Generalized Half Logistic Distribution

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the nth moment, the median, the mode and the 100k-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of computer program and a theorem that relate the generalized distribution to Pareto distribution was stated and proved. Finally, we obtained the distributions of some order statistics from the generalized half logistic distribution.