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math.PR2004★ 129 cited
Martingale approximations for sums of stationary processes
Wei Biao Wu, Michael Woodroofe
Approximations to sums of stationary and ergodic sequences by martingales are investigated. Necessary and sufficient conditions for such sums to be asymptotically normal conditiona…
math.PR2004★ 46 cited
On weighted U-statistics for stationary processes
Tailen Hsing, Wei Biao Wu
A weighted U-statistic based on a random sample X_1,...,X_n has the form U_n=\sum_{1\le i,j\le n}w_{i-j}K(X_i,X_j), where K is a fixed symmetric measurable function and the w_i are…