**Sankhya:
The Indian Journal of Statistics**

2007, Volume 69, Pt. 4, 870--884

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

Patrick G.O. Weke, University of Nairobi, Nairobi, Kenya

SUMMARY. 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-Rao lower bound and best linear unbiased estimators (BLUE's) for small sample sizes.

*AMS (2000) subject classification. *Primary 62F10.

*Key words and phrases. *Order statistics, logistic distribution, linear estimation, relative efficiency.