ON THE CENTRAL-LIMIT-THEOREM FOR POINT PROCESS MARTINGALES

被引:1
|
作者
JOHANSSON, B
机构
[1] Department of Mathematical Statistics, University of Stockholm, S-11385 Stockholm
关键词
CENTRAL LIMIT THEOREM; MARTINGALE; MIXING CONVERGENCE; POINT PROCESS; RANDOM TIME CHANGE; STABLE CONVERGENCE;
D O I
10.1016/0167-7152(94)90027-2
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
We give a simple proof of the scalar central limit theorem for point process martingales. The proof is based on a result of Guiasu concerning random time changes. A condition of 'Lyapunov type' is given.
引用
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页码:125 / 130
页数:6
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