Edgeworth Expansions for Studentized Versions of Symmetric Finite Population Statistics |
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| Authors: | Bloznelis M |
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| Institution: | (1) Vilnius University, Naugarduko 24, LT-2600 Vilnius;(2) Institute of Mathematics and Informatics, Akademijos 4, LT-2021 Vilnius, Lithuania |
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| Abstract: | We show the validity of the one-term Edgeworth expansion for Studentized asymptotically linear statistics based on samples drawn without replacement from finite populations. Replacing the moments defining the expansion by their estimators, we obtain an empirical Edgeworth expansion. We show the validity of the empirical Edgeworth expansion in probability. |
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| Keywords: | sampling without replacement finite population U-statistic Studentized statistic asymptotic expansion Edgeworth expansion jackknife |
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