Theory of quadratic estimates of variance
A class of quadratic estimates is constructed for the second-order moment and variance of a random variable. These estimates are found on the basis of sample values obtained by simple sampling. The best quadratic estimates are found for the second-order moment and variance in the case of known mathematical expectation. The exactness of biased and unbiased estimates of variance is investigated in the case of unknown mathematical expectation.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1370-1385.
Citation Example: Petunin Yu. I., Tupko N. P. Theory of quadratic estimates of variance // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1217–1231.