Author

• A. K. Olapade

Abstract

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-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.

Keywords

• Characterizations
• estimations
• Exponential Distribution
• half logistic distribution
• homogeneous differential equation
• moments
• Order statistics
• Pareto distribution