THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE

Yi Xing LIU;Ping CHENG

系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (2) : 136-145.

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系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (2) : 136-145.
论文

THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE

    Yi Xing LIU,Ping CHENG
作者信息 +

THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE

    Yi Xing LIU,Ping CHENG
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摘要

Cheng[1] gave the limit distribution of weighted PP Cramer-Von Mises test statistic when dimension and sample size tend to infinity simultaneously under the underlying distribution being uniform distribution on SP-1 = {a: ||a|| = 1, a SP-1 }.

Abstract

Cheng[1] gave the limit distribution of weighted PP Cramer-Von Mises test statistic when dimension and sample size tend to infinity simultaneously under the underlying distribution being uniform distribution on SP-1 = {a: ||a|| = 1, a SP-1 }.

关键词

PP CM statistic / Berry-Esseen bound

Key words

PP CM statistic / Berry-Esseen bound / law of iterated logarithm / large sample size

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Yi Xing LIU , Ping CHENG. THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE. 系统科学与复杂性(英文), 2000, 13(2): 136-145
Yi Xing LIU , Ping CHENG. THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE. Journal of Systems Science and Complexity, 2000, 13(2): 136-145
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