Estimation of variance of sample variance in sample random sampling

A. Herzel
As it is known, the general m.v.u estimator of the variance of sample variance in simple random sampling is given by a linear combination with fixed coefficients of the fourth central moment and the square of the variance observed in the sample. In this paper, the best unbiased estimator is determined when the coefficient are allowed to depend on the moments of the standardized population. Explicit formulas are given for sapling with repetition. The results...