Linear Estimation of Standard Deviation of Logistic Distribution: Theory and Algorithm
AbstractThe paper presents a theoretical method based on order statistics and a FORTRAN program for computing the variance and relative efficiencies of the standard deviation of the logistic population with respect to the Cramer-Rao lower variance bound and the best linear unbiased estimators (BLUE\'s) when the mean is unknown. A method based on a pair of single spacing and the ‘zero-one\' weights rather than the optimum weights are used. A comparison of an estimator based on four order statistics with the traditional estimators is considered.
Key words: Order Statistics, Logistic Distribution, Parameter Estimation, Fortran, Relative Efficiencies. 2000 Math. Subject Classification: 62 G30, 62 F10, 65 C60
(Af. J. of Science and Technology: 2003 4(1): 5-9)