IJPAM: Volume 52, No. 1 (2009)
VARIANCE OF SAMPLE VARIANCE WITH REPLACEMENT
Eungchun Cho
Department of Mathematics, Kentucky State University, Frankfort, KY 40601, USA, Moon Jung Cho
Department of Mathematics
Seoul National University
Seoul, KOREA
e-mail: eccho@math.snu.ac.kr
U.S. Bureau of Labor Statistics
Seoul, KOREA
Department of Mathematics, Kentucky State University, Frankfort, KY 40601, USA, Moon Jung Cho
Department of Mathematics
Seoul National University
Seoul, KOREA
e-mail: eccho@math.snu.ac.kr
U.S. Bureau of Labor Statistics
Seoul, KOREA
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: March 1, 2009
AMS Subject Classification: 92D25
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: 52
Issue: 1