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A Central Limit Theorem for a sequence of Brownian motions in the unit sphere in $\mathbb{R}^{n}$
Central Limit Theorem Brownian motion in the unit sphere in Rn OrnsteinUhlenbeck processes
2011/9/13
Abstract: We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}\subset\mathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of...
The component sizes of a critical random graph with pre-described degree sequence
Critical random graph random multigraph with given vertex degrees
2011/1/20
Consider a critical random multigraph Gn constructed by the con guration model such that its vertex degrees are independent random variables with the same distribution (criticality means that the se...
Refinements of Inequalities Between the Sum of Squares and the Exponential of Sum of a Nonnegative Sequence
Inequality Exponential of sum Nonnegative sequence Normal random variable
2010/1/22
Using probability theory methods, the following sharp inequality is established: where , and for . Upon taking in the above inequality, the inequalities obtained in [F. Qi, Inequalities be...