KOLMOGOROV EQUATION FOR A PLANE BARRIER PROBLEM

被引:2
作者
CABANA, EM
机构
[1] Universidad Simon Bolivar, Sartenejas, Baruta, Edo. Miranda
来源
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1979年 / 48卷 / 03期
关键词
D O I
10.1007/BF00537525
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
The probability density p of a plane Brownian motion stopped by a two-sided constant barrier is shown to be a solution of a Kolmogorov forward equation of the form ℒ*p=0. The operator ℒ* is the product of two second order differential operators, each of them corresponding to a related one-dimensional Brownian motion. © 1979 Springer-Verlag.
引用
收藏
页码:285 / 292
页数:8
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McKean H. P, 1969, STOCHASTIC INTEGRALS
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