LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

Yoshihiko Maesono

doi:10.1111/j.1467-842X.1989.tb00991.x

LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

Yoshihiko Maesono

研究成果: Contribution to journal › Article › 査読

8 被引用数 (Scopus)

抄録

The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.

本文言語	英語
ページ（範囲）	475-485
ページ数	11
ジャーナル	Australian Journal of Statistics
巻	31
号	3
DOI	https://doi.org/10.1111/j.1467-842X.1989.tb00991.x
出版ステータス	出版済み - 1 1 1989
外部発表	はい

All Science Journal Classification (ASJC) codes

統計学および確率

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10.1111/j.1467-842X.1989.tb00991.x

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title = "LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES",

abstract = "The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.",

author = "Yoshihiko Maesono",

year = "1989",

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LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

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