ON THE CENTRAL-LIMIT-THEOREM FOR U-STATISTICS UNDER ABSOLUTE REGULARITY

被引：11

作者：

ARCONES, MA ^{[1
]}

机构：

[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

来源：

STATISTICS & PROBABILITY LETTERS | 1995年 / 24卷 / 03期

基金：

美国国家科学基金会;

关键词：

CENTRAL LIMIT THEOREM; BETA-MIXING; U-STATISTIC;

D O I：

10.1016/0167-7152(94)00179-C

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove the central limit theorem for U-statistics whose underlying sequence of random variables satisfies an absolute regularity condition under optimal assumptions.

引用

页码：245 / 249

页数：5

共 8 条

[1]

DOUKHAN P, 1994, ANN I H POINCARE-PR, V30, P63

[2]

Doukhan P., 1994, MIXING PROPERTIES EX, V85

[3] WEAK-CONVERGENCE OF PARTIAL-SUMS OF ABSOLUTELY REGULAR SEQUENCES [J].

EBERLEIN, E .

STATISTICS & PROBABILITY LETTERS, 1984, 2 (05) :291-293

[4]

Ibragimov IA, 1971, INDEPENDENT STATIONA

[5]

Lee AJ, 1990, STATISTICS-ABINGDON, V110

[6]

RIO E, 1993, ANN I H POINCARE-PR, V29, P587

[7]

Volkonski V. A., 1961, TEOR VEROYATN PRIMEN, V6, P202, DOI [10.1007/s10959-020-01006-z, DOI 10.1007/S10959-020-01006-Z]

[8] LIMITING BEHAVIOR OF U-STATISTICS FOR STATIONARY, ABSOLUTELY REGULAR PROCESSES [J].

YOSHIHARA, K .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 35 (03) :237-252

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