K-Nearest Neighbor Estimation |
Common terms and phrases
absolutely continuous asymptotic bias asymptotic independence asymptotic normality b_(x bias and variance bounded variation Brownian bridge CALIFORN CALIFORNIA CALIFORNIA CALIFORNIA UNIVERSITY cf(x consider defined density f(x DIEGO RSITY distribution Euclidean distance f is continuously goodness-of-fit joint density k-NN density estimate k-NN estimates k-NN regression estimate kernel estimate kernel method kth nearest neighbor kth order statistic Lebesgue measure Lemma LIBRARY DIEGO LIBRARY SAN LIBRARY THE UNIVERSITY marginal density mean square error Moore and Yackel nearest neighbor estimate ORNIA p-vectors P(Sp P(SR positive integers probability Proof RARY regression function RNIA sample SAN DIEGO DIEGO SAN DIEGO ERSITY SAN DIEGO UNIVERSITY SAN LIBRARY SAN UNIVERSITY sequence of positive SITY Theorem u)du UNI LIBRARY uniform consistency uniformly univariate UNIVE UNIVERSITY DIEGO UNIVERSITY University of California UNIVERSITY SAN DIEGO UNIVERSITY THE LIBRARY UNIVERSITY UNIVERSITY Var(Y weight function Yackel 33 α α