CONVERGENCE OF QUADRATIC-FORMS IN P-STABLE RANDOM-VARIABLES AND THETA-P-RADONIFYING OPERATORS

被引:26
作者
CAMBANIS, S [1 ]
ROSINSKI, J [1 ]
WOYCZYNSKI, WA [1 ]
机构
[1] CASE WESTERN RESERVE UNIV,DEPT MATH & STAT,CLEVELAND,OH 44106
关键词
D O I
10.1214/aop/1176992912
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:885 / 897
页数:13
相关论文
共 17 条
[1]  
Breiman L., 1968, PROBABILITY
[2]   STABLE MEASURES AND SEMINORMS [J].
DEACOSTA, A .
ANNALS OF PROBABILITY, 1975, 3 (05) :865-875
[3]  
DEACOSTA A, 1976, P AM MATH SOC, V54, P319
[4]   CONDITIONAL GENERALIZATIONS OF STRONG LAWS WHICH CONCLUDE THE PARTIAL-SUMS CONVERGE ALMOST SURELY [J].
HILL, TP .
ANNALS OF PROBABILITY, 1982, 10 (03) :828-830
[5]  
Ito K., 1968, OSAKA J MATH, V5, P35
[6]   EXISTENCE AND PATH PROPERTIES OF STOCHASTIC INTEGRALS [J].
KALLENBERG, O .
ANNALS OF PROBABILITY, 1975, 3 (02) :262-280
[7]   REPRESENTATION THEOREM FOR SYMMETRIC STABLE PROCESSES AND STABLE MEASURES ON H [J].
KUELBS, J .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 26 (04) :259-271
[8]   CONVERGENCE TO A STABLE DISTRIBUTION VIA ORDER-STATISTICS [J].
LEPAGE, R ;
WOODROOFE, M ;
ZINN, J .
ANNALS OF PROBABILITY, 1981, 9 (04) :624-632
[9]  
LINDE W, 1980, LECTURE NOTES MATH, V828, P167
[10]   STABLE MEASURES AND CENTRAL LIMIT-THEOREMS IN SPACES OF STABLE TYPE [J].
MARCUS, MB ;
WOYCZYNSKI, WA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 251 (JUL) :71-102