APPROXIMATE LOCAL LIMIT-THEOREMS FOR LAWS OUTSIDE DOMAINS OF ATTRACTION

被引:24
作者
GRIFFIN, PS [1 ]
JAIN, NC [1 ]
PRUITT, WE [1 ]
机构
[1] UNIV MINNESOTA,DEPT MATH,MINNEAPOLIS,MN 55455
关键词
D O I
10.1214/aop/1176993373
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
收藏
页码:45 / 63
页数:19
相关论文
共 13 条
[1]  
Doeblin W., 1940, STUD MATH, V9, P71, DOI [10.4064/sm-9-1-71-96, DOI 10.4064/SM-9-1-71-96]
[2]  
FELLER W, 1967, 5TH P BERK S MATH 1, V2, P373
[3]   PROBABILITY ESTIMATES FOR THE SMALL DEVIATIONS OF D-DIMENSIONAL RANDOM-WALK [J].
GRIFFIN, PS .
ANNALS OF PROBABILITY, 1983, 11 (04) :939-952
[4]   AN INTEGRAL TEST FOR THE RATE OF ESCAPE OF D-DIMENSIONAL RANDOM-WALK [J].
GRIFFIN, PS .
ANNALS OF PROBABILITY, 1983, 11 (04) :953-961
[6]   DOMAINS OF PARTIAL ATTRACTION AND TIGHTNESS CONDITIONS [J].
JAIN, NC ;
OREY, S .
ANNALS OF PROBABILITY, 1980, 8 (03) :584-599
[7]   ASYMPTOTIC-BEHAVIOR OF THE LOCAL TIME OF A RECURRENT RANDOM-WALK [J].
JAIN, NC ;
PRUITT, WE .
ANNALS OF PROBABILITY, 1984, 12 (01) :64-85
[8]   VAGUE CONVERGENCE OF SUMS OF INDEPENDENT RANDOM-VARIABLES [J].
JAIN, NC ;
OREY, S .
ISRAEL JOURNAL OF MATHEMATICS, 1979, 33 (3-4) :317-348
[9]   THE CLASS OF LIMIT LAWS FOR STOCHASTICALLY COMPACT NORMED SUMS [J].
PRUITT, WE .
ANNALS OF PROBABILITY, 1983, 11 (04) :962-969
[10]   GENERAL ONE-SIDED LAWS OF THE ITERATED LOGARITHM [J].
PRUITT, WE .
ANNALS OF PROBABILITY, 1981, 9 (01) :1-48