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Skorokhod problem : ウィキペディア英語版
Skorokhod problem
In probability theory, the Skorokhod problem is the problem of solving a stochastic differential equation with a reflecting boundary condition.
The problem is named after Anatoliy Skorokhod who first published the solution to a stochastic differential equation for a reflecting Brownian motion.
==Problem statement==

The classic version of the problem states that given a càdlàg process and an M-matrix ''R'', then stochastic processes and are said to solve the Skorokhod problem if for all non-negative ''t'' values,
# ''W''(''t'') = ''X''(''t'') + ''R Z''(''t'') ≥ 0
# ''Z''(0) = 0 and d''Z''(''t'') ≥ 0
# \int_0^t W_i(s)\textZ_i(s)=0.
The matrix ''R'' is often known as the reflection matrix, ''W''(''t'') as the reflected process and ''Z''(''t'') as the regulator process.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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