Abstract
In this paper the sampling distribution of the maximum likelihood estimators for the Type
I generalized logistic distribution based on lower record values is derived numerically. The
numerical study is used to obtain the value of the maximum likelihood estimators for different
distribution parameters values. STATGRAPHICS package is used to obtain the best fitted
distributions and to test the goodness of fit by using Chi-square test.
Keywords: Maximum likelihood estimation, Type I generalized logistic distribution, Lower
record values, Sampling distribution, Chi-square test