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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 # . 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)』 ■ウィキペディアで「Skorokhod problem」の詳細全文を読む スポンサード リンク
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