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math.ST2011
On the asymptotic normality of kernel density estimators for linear random fields
Yizao Wang, Michael Woodroofe
We establish sufficient conditions for the asymptotic normality of kernel density estimators, applied to causal linear random fields. Our conditions on the coefficients of linear r…
math.PR2011★ 4 cited
A New Condition for the Invariance Principle for Stationary Random Fields
Yizao Wang, Michael Woodroofe
We establish a central limit theorem and an invariance principle for stationary random fields, with projective-type conditions. Our result is obtained via an m-dependent approximat…