Some estimates of the normal approximation for independent non-identically distributed random variables |
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Authors: | Jonas Sunklodas |
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Affiliation: | 1.Institute of Mathematics and Informatics, Vilnius University,Vilnius,Lithuania |
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Abstract: | In this paper, we generalize some results of [V. Bentkus, A new method for approximation in probability and operator theories, Lith. Math. J., 43(4):367–388, 2003] for independent identically distributed summands to to the case of independent non-identically distributed real summands. We derive the Edgeworth expansion with the first term only. Proofs are given following [V. Bentkus, A new method for approximation in probability and operator theories, Lith. Math. J., 43(4):367–388, 2003]. |
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