Linear Estimation of Scale Parameter for Logistic Distribution Based on Consecutive Order Statistics

Abstract

Linear estimation of the scale parameter of the logistic population based on the sum of consecutive order statistics, when the location parameter is unknown, is discussed. A method based on a pair of single spacing and 'zero-one' weights rather than the optimum weights is presented. Limited simulations indicate small bias and variance' of the estimator, and reasonably high relative efficiencies with respect to the Cramer-Rae lower bound and best linear unbiased estimators (BLUE's) for small sample sizes.