One- and Two-Term Edgeworth Expansions for Finite Population Sample Mean. Exact Results. II |
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| Authors: | Bloznelis M. |
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| Affiliation: | (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 ratio p=N/n, where N denotes the sample size and n the population size, respectively. |
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| Keywords: | Edgeworth expansion finite population Cramer condition |
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