getdocf2d3. 331KB Jun 04 2011 12:05:11 AM
Teks penuh
Garis besar
Dokumen terkait
Key words: infinitely divisible distribution; the Goldie-Steutel-Bondesson class; stochastic inte- gral mapping; compound Poisson process; limit of the ranges of the iterated
Keywords: Random matrix, eigenvalues, asymptotic independence, Gaussian unitary
In the dependent case, the limit N may not be a Poisson process, but belongs to the class of infinitely divisible point processes (under generally weak assumptions).. This
Theorem 1 of [5] gives concentration bounds for a class of infinitely divisible laws with finite exponential moments, and in the compound Poisson case it reduces precisely to (5),
A functional large deviations principle for quadratic forms of Gaussian stationary processes. Large deviations for Poisson random measures and processes with
For a coordinate symmetric random vector (Y 1 ,.. and is said to be coordinate symmetric. In this note we show that when a random vector is coordinate sym- metric, even though
In this note the almost sure convergence of stationary, ϕ -mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is
We use this result to show that in dimensions 5 and higher the uniform spanning forest on infinite percolation clusters supported on graphs with infinitely many connected
