BIVARIATE STABLE CHARACTERIZATION AND DOMAINS OF ATTRACTION

被引:72
作者
RESNICK, S [1 ]
GREENWOOD, P [1 ]
机构
[1] UNIV BRITISH COLUMBIA,VANCOUVER V6T 1W5,BC,CANADA
关键词
bivariate distributions; domain of attraction; Stable distributions;
D O I
10.1016/0047-259X(79)90079-4
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
Bivariate stable distributions are defined as those having a domain of attraction, where vectors are used for normalization. These distributions are identified and their domains of attraction are given in a number of equivalent forms. In one case, marginal convergence implies joint convergence. A bivariate optional stopping property is given. Applications to bivariate random walk are suggested. © 1979.
引用
收藏
页码:206 / 221
页数:16
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