Best linear unbiased estimators of the location of a double quadratic distribution based on order statistics

Abstract

In the paper explicit formulas are given for the moments and the covariances of the order statistics of a sample of size N from the double quadratic distribution with density Numerical values of the expected values are given in Table I for N=3(1) 25. Table II contains the numerical values of the covariances for N=5(1)15. Table III gives, for N = 5(1)15. the coefficients of the best linear unbiased estimator of the location of a double quadratic distribution for all possible censorings: the variances of these estimarors and their efficiencies relative to the estimator based on the uncensored sample are given in Table IV. Table V contains the efficiencies of the estimator hased on the uncensored sample relative to the Cramér-Rao bound.

Keywords:

• Blues
• order statistics
• double quadratic distribution