THE HAZARD RATE TANGENT APPROXIMATION FOR BOUNDARY HITTING TIMES

被引:9
作者
Roberts, G. O. [1 ]
Shortland, C. F. [1 ]
机构
[1] Univ Cambridge, Stat Lab, Cambridge CB2 1SB, England
关键词
Boundary hitting time; one-dimensional diffusion process; Brownian motion;
D O I
10.1214/aoap/1177004773
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 consider the problem of estimating first exit distributions for one-dimensional diffusion processes. We provide analytic bounds and an approximation which is shown to be accurate in a range of numerical examples involving Brownian motion.
引用
收藏
页码:446 / 460
页数:15
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