Empirical Edgeworth Expansion for Finite Population Statistics. II |
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Authors: | M Bloznelis |
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Institution: | (1) Naugarduko 24; Institute of Mathematics and Informatics, Vilnius University, Akademijos 4, 2600 Vilnius, Lithuania |
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Abstract: | For symmetric asymptotically linear statistics based on simple random samples, we construct a one–term empirical Edgeworth expansion, where the moments defining the true Edgeworth expansion are replaced by their jackknife estimators. In order to establish the validity of the empirical Edgeworth expansion (in probability) we prove the consistency of the jackknife estimators. |
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Keywords: | empirical Edgeworth expansion jackknife finite population sampling without replacement |
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