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Multivariate normal approximation using exchangeable pairs
Stein's method exchangeable pairs normal approximation random matrices
2009/6/12
The aim of this article is to fill this void.We present three abstract normal approximation theorems using exchangeable pairs in multivariate contexts,one for situations in which the underlying symmet...
Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion
Hermite power variation fractional Brownian motion
2009/3/20
Let q≥2 be a positive integer, B be a fractional Brownian motion with Hurst index H∈(0,1), Z be an Hermite random variable of index q, and Hq denote the q-th Hermite polynomial. For any n≥1, set Vn=∑0...