On Lower Bounds for Lp Norms in the Central Limit Theorem for Independent and m-Dependent Random Variables |
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Authors: | J. Sunklodas |
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Affiliation: | (1) Institute of Mathematics and Informatics, Akademijos 4, LT–2600 Vilnius;(2) Vilnius Gediminas Technical University, Saul tekio 11, LT–2040 Vilnius, Lithuania |
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Abstract: | We derive lower bounds for Lp norms , in the central limit theorem for independent and m–dependent random variables with finite fifth order absolute moments and for independent and m–dependent identically distributed random variables with fourth order moments. |
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Keywords: | lower bound Lp norm central limit theorem independent random variables m– dependent random variables |
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