MEAN ABSOLUTE DEVIATIONS OF SAMPLE MEANS AND MINIMALLY CONCENTRATED BINOMIALS

MEAN ABSOLUTE DEVIATIONS OF SAMPLE MEANS AND MINIMALLY CONCENTRATED BINOMIALS
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样本均值和最小集中二项式的平均绝对偏差

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发表时间:
2003
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通讯作者:
G. Neuhaus
G. Neuhaus
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文献类型:
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作者:
G. Neuhaus

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这是一个贡献的理论和独立随机变量的水平上的最佳显式不等式:我们计算的最佳常数在Hornich的下界的平均绝对偏差的样本均值。这是通过将原始问题简化为确定具有固定样本大小参数n的最小集中二项分布B n,p的基本问题来完成的。
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,p with fixed sample size parameter n .