Theory of quadratic estimates of variance

  • Yu. I. Petunin
  • N. P. Tupko

Abstract

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.
Published
25.09.1999
How to Cite
PetuninY. I., and TupkoN. P. “Theory of Quadratic Estimates of Variance”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 9, Sept. 1999, pp. 1217–1231, https://umj.imath.kiev.ua/index.php/umj/article/view/4718.
Section
Research articles