ON ORDER-PRESERVATION AND POSITIVE CORRELATIONS FOR MULTIDIMENSIONAL DIFFUSION-PROCESSES

被引:32
作者
CHEN, MF
WANG, FY
机构
[1] Department of Mathematics, Beijing Normal University, Beijing
关键词
Mathematics Subject Classification (1991): 60J60;
D O I
10.1007/BF01192172
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
As a continuation of the study by Herbst and Pitt (1991), this note presents two criteria. The first one is on the order-preservation for two (may be different) multidimensional diffusion processes. The second one is on the preservation of positive correlations for a diffusion process.
引用
收藏
页码:421 / 428
页数:8
相关论文
共 6 条
[1]  
[Anonymous], 1992, MARKOV CHAINS NONEQU
[2]  
CHEN MF, 1991, CHINESE ANN MATH B, V12, P385
[3]  
Ethier S.N., 1986, MARKOV PROCESS CHARA
[4]   DIFFUSION EQUATION TECHNIQUES IN STOCHASTIC MONOTONICITY AND POSITIVE CORRELATIONS [J].
HERBST, I ;
PITT, L .
PROBABILITY THEORY AND RELATED FIELDS, 1991, 87 (03) :275-312
[5]  
Ikeda N., 1981, STOCHASTIC DIFFERENT
[6]  
Stroock D.W., 2007, MULTIDIMENSIONAL DIF