NONSTANDARD FUNCTIONAL LAWS OF THE ITERATED LOGARITHM FOR TAIL EMPIRICAL AND QUANTILE PROCESSES

被引:26
作者
DEHEUVELS, P [1 ]
MASON, DM [1 ]
机构
[1] UNIV DELAWARE,DEPT MATH SCI,NEWARK,DE 19716
关键词
D O I
10.1214/aop/1176990642
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
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页码:1693 / 1722
页数:30
相关论文
共 18 条
[1]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[2]  
DEHEUVELS P, 1988, B SCI MATH, V112, P211
[3]   ALMOST SURE CONVERGENCE OF THE HILL ESTIMATOR [J].
DEHEUVELS, P ;
HAEUSLER, E ;
MASON, DM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 104 :371-381
[4]  
DEHEUVELS P, 1990, IN PRESS J THEORET P
[5]   STRONG LIMIT-THEOREMS FOR WEIGHTED QUANTILE PROCESSES [J].
EINMAHL, JHJ ;
MASON, DM .
ANNALS OF PROBABILITY, 1988, 16 (04) :1623-1643
[6]   LAW OF ITERATED LOGARITHM FOR EMPIRICAL DISTRIBUTIONS [J].
FINKELSTEIN, H .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (02) :607-+
[7]  
KIEFER J, 1972, 6 P BERK S MATH STAT, V1, P227
[8]   LARGE DEVIATIONS FOR PROCESSES WITH INDEPENDENT INCREMENTS [J].
LYNCH, J ;
SETHURAMAN, J .
ANNALS OF PROBABILITY, 1987, 15 (02) :610-627
[9]  
MASON DM, 1988, ANN I H POINCARE-PR, V24, P491
[10]  
MCBRIDE J, 1974, THESIS U CHICAGO