IJPAM: Volume 51, No. 1 (2009)

VARIANCE OF SAMPLE VARIANCE WITH REPLACEMENT

Eungchun Cho$^1$Department of Mathematics, Kentucky State University, Frankfort, KY 40601, USA, Moon Jung Cho$^2$
$^1$Department of Mathematics
Seoul National University
Seoul, KOREA
e-mail: eccho@math.snu.ac.kr
$^2$U.S. Bureau of Labor Statistics


Abstract.The variance of variance of finite samples taken from a finite population with replacement is expressed in terms of the sample size and the second and fourth order moments of population.

Received: November 20, 2008

AMS Subject Classification: 62J10

Key Words and Phrases: sample variance, sample with replacement, randomization variance, moments, finite population

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1