Abstract
The best linear invariant estimators of the mean, location and scale parameters of the normal, Weibull, power, gamma, Gumbel, and log-logistic distributions are obtained by using ranked-set sampling procedure. The efficiency of the best linear invariant estimator of the mean relative to the simple random sample mean
(
X
̄
)
is obtained and tabulated. Also, the efficiencies of these estimators of the location and scale parameters relative to the ordered best linear unbiased estimators for the given distributions are obtained and tabulated for perfect ordering case.