Mean absolute deviations of sample means and minimally concentrated binomials
成果类型：
Article
署名作者：
Mattner, L
署名单位：
University of Lubeck
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2003
页码：
914-925
关键词：
摘要：
This is a contribution to the theory of sums of independent random variables at the level of optimal explicit inequalities: we compute the optimal constants in Hornich's lower bounds for the mean absolute deviations of sample means. This is done by reducing the original problem to the elementary one of determining the minimally concentrated binomial distributions B-n,B-p with fixed sample size parameter n.