Estimation of the parameters of the logistic distribution

The paper investigates the estimation of the parameters (both location and scale) of the logistic distribution using sample quantities and order statistics. Three kinds of estimators have been considered: Best linear unbiased estimators based on sample quantities; Unbiased linear asymptotically best estimators of Bloom; Asymptotically best, asymptotically unbiased linear estimators of Jung. All these methods of estimation are asymptotically efficient and one of the purposes of this investigation is to determine how good they are when compared to the best linear unbiased estimators in terms of their relative efficiency.