CHARACTERIZATION OF THE LAW OF THE ITERATED LOGARITHM IN BANACH-SPACES

被引：46

作者：

LEDOUX, M

TALAGRAND, M

机构：

[1] OHIO STATE UNIV, DEPT MATH, COLUMBUS, OH 43210 USA

[2] UNIV PARIS 06, EQUIPE ANALY, F-75230 PARIS, FRANCE

来源：

ANNALS OF PROBABILITY | 1988年 / 16卷 / 03期

关键词：

D O I：

10.1214/aop/1176991688

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：

引用

页码：1242 / 1264

页数：23

共 26 条

[1] BRUNN-MINKOWSKI INEQUALITY IN GAUSS SPACE [J].

BORELL, C .

INVENTIONES MATHEMATICAE, 1975, 30 (02) :207-216

[2]

DEACOSTA A, 1983, LECT NOTES MATH, V990, P1

[3] SOME RESULTS ON THE CLUSTER SET C([SN-AN]) AND THE LIL [J].

DEACOSTA, A ;

KUELBS, J .

ANNALS OF PROBABILITY, 1983, 11 (01) :102-122

[4] A NEW PROOF OF THE HARTMAN-WINTNER LAW OF THE ITERATED LOGARITHM [J].

DEACOSTA, A .

ANNALS OF PROBABILITY, 1983, 11 (02) :270-276

[5]

Fernique X., 1975, LECT NOTES MATH, P1

[6] SOME LIMIT-THEOREMS FOR EMPIRICAL PROCESSES [J].

GINE, E ;

ZINN, J .

ANNALS OF PROBABILITY, 1984, 12 (04) :929-989

[7] SOME RESULTS ON THE LIL IN BANACH-SPACE WITH APPLICATIONS TO WEIGHTED EMPIRICAL PROCESSES [J].

GOODMAN, V ;

KUELBS, J ;

ZINN, J .

ANNALS OF PROBABILITY, 1981, 9 (05) :713-752

[8] On the law of the iterated logarithm [J].

Hartman, P ;

Wintner, A .

AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 :169-176

[9]

HEINKEL B, 1979, Z WAHRSCH VERW GEBIE, V41, P211

[10]

HOFFMANNJORGENSEN J, 1974, STUD MATH, V52, P159

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