One- and two-term edgeworth expansions for a finite population sample mean. Exact results. I |
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Authors: | M Bloznelis |
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Institution: | (1) Vilnius University, Naugarduko 24, 2600, Vilnius, Lithuania;(2) Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania |
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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. |
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Keywords: | Edgeworth expansion finite population Cramer condition |
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