On Lower Bounds for Lp Norms in the Central Limit Theorem for Independent and m-Dependent Random Variables期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On Lower Bounds for Lp Norms in the Central Limit Theorem for Independent and m-Dependent Random Variables

Authors:	J. Sunklodas

Affiliation:	(1) Institute of Mathematics and Informatics, Akademijos 4, LT–2600 Vilnius;(2) Vilnius Gediminas Technical University, Saultekio 11, LT–2040 Vilnius, Lithuania

Abstract:	We derive lower bounds for L_p norms $Delta _{np} ,{text{ }}1 leqslant p leqslant infty$ , 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.

Keywords:	lower bound L_p norm central limit theorem independent random variables m– dependent random variables
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