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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.ST2011
On the Regular Variation of Ratios of Jointly Frechet Random Variables
Yizao Wang
We provide a necessary and sufficient condition for the ratio of two jointly alpha-Frechet random variables to be regularly varying. This condition is based on the spectral represe…