One- and two-term edgeworth expansions for a finite population sample mean. Exact results. I |
| |
Authors: | M. Bloznelis |
| |
Affiliation: | (1) Vilnius University, Naugarduko 24, 2600, Vilnius, Lithuania;(2) Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania |
| |
Abstract: | We prove the validity of one- and two-term Edgeworth expansions under optimal conditions (a Cramer-type smoothness condition and the minimal moment conditions) and provide precise bounds for the remainders of expansions. The bounds depend explicitly on the ratiop=N/n, whereN andn denote the sample size and the population size, respectively. Supported by the Alexander von Humboldt Foundation. Published in Lietuvos Matematikos Rinkinys, Vol. 40, No. 3, pp. 277–294, July–September, 2000. |
| |
Keywords: | Edgeworth expansion finite population Cramer condition |
本文献已被 SpringerLink 等数据库收录! |
|