Generating Random Variates for Estimating the Parameters of Logistic Distribution by Monte Carlo Simulation

In this work, we consider the Logistic distribution of two parameters for its importance in statistics. Mathematical and statistical properties of Logistic distribution are considered, moments and higher moments are illustrated to the distribution parameters, namely, moments methods, maximum likelihood method, modified moments method, least squares method are discussed theoretically and assessed practically by
utilizing two procedures of Monte Carlo simulation for generating random variates from the Logistic distribution. Properties of the estimators, such as Bias, variance, skewness, kurtosis and mean square error measurement are tabulated.