In this paper, the quantile based flattened logistic distribution introduced by Gilchrist has been studied. Some classical and quantile based properties of the distribution have been obtained. Closed form expression of L-moments and L-ratios of the distribution have been obtained. A quantile based analysis based on the methods of matching L-moments estimation is employed to estimate the parameters of the proposed model. We further derive the asymptotic variance-covariance matrix of the L-Moments estimator of the proposed model. Finally, we apply the proposed model to a real data set and perform some goodness of fit tests.
Categories: stat.ME