SOME ANALOGS OF THE BERRY-ESSÉEN BOUND FOR FIRST-ORDER CHEBYSHEV-EDGEWORTH EXPANSIONS
SOME ANALOGS OF THE BERRY-ESSÉEN BOUND FOR FIRST-ORDER CHEBYSHEV-EDGEWORTH EXPANSIONS
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用于一阶切比雪夫-埃奇沃斯扩展的浆果精油的一些类似物
DOI：
10.1524/strm.1996.14.4.383
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发表时间：
1996
影响因子：
10.5
通讯作者：
B. Ghosh
中科院分区：
文献类型：
--
作者：
V. Dobric;B. Ghosh
Consider the distribution funct ion of the stajidardized sum of an arb i t rary number of independent and identically dis t r ibuted rsindom variables. T h e classical Berry-Esseen theorem gives a uniform Upper bound for the absolute difference between this distr ibution and the Standard normal distribution. We give computable upper bounds for the absolute difference between this distr ibution and its first-order Chebyshev-Edgeworth expansion. T h e application of Our results is i l lustrated by several well-known examples.
