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Bessel process : ウィキペディア英語版
Bessel process
In mathematics, a Bessel process, named after Friedrich Bessel, is a type of stochastic process.
==Formal definition==
The Bessel process of order ''n'' is the real-valued process ''X'' given by
:X_t = \| W_t \|,
where ||·|| denotes the Euclidean norm in R''n'' and ''W'' is an ''n''-dimensional Wiener process (Brownian motion) started from the origin.
The n-dimensional Bessel process is the solution to the stochastic differential equation
:dX_t = dZ_t + \frac\frac
where ''Z'' is a ''1''-dimensional Wiener process (Brownian motion). Note that this SDE makes sense for any real parameter n (although the drift term is singular at zero). Since ''W'' was assumed to have started from the origin the initial condition is ''X''0 = 0.

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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