Article ID Journal Published Year Pages File Type
1154902 Statistics & Probability Letters 2012 7 Pages PDF
Abstract

We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere Sn−1⊂RnSn−1⊂Rn and we obtain a Central Limit Theorem for a sequence of such Brownian motions. We also generalize the results to the case of the nn-dimensional Ornstein–Uhlenbeck processes.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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