Order statistics from the type i generalized logistic distribution

In this paper, we first obtain three generalized forms of the standard logistic distribution. These are derived by compounding an extreme-value distribution of the doubly exponential type, a reduced log-Weibull distribution and an exponential-gamma distribution, respectively, with a gamma distribution. The usefulness of these three types of generalized logistic distributions in some estimation problems, and also in some robustness studies, is pointed out. Finally, we study the order statistics from the Type I generalized logistic distribution in detail. We derive exact and explicit expressions for the means, variances and covariances of order statistics in terms of the gama function and its successive derivatives. Percentage points and modes of order statistics are also discussed