caa a22 4500 477062970 CHVBK 20180405111406.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF00052327 doi (NATIONALLICENCE)springer-10.1007/BF00052327 Sturgeon Michael Mathematics Department, Salem State College, 45 Blaisdell Drius, 01741, Carlisle, MA, U.S.A. aut Mass shifting roles of negative kernel mass in density estimation [Elektronische Daten] [Michael Sturgeon] f(x) is a univariate density in C 4 with bounded support. For any n and sufficiently small kernel bandwidths, the symmetric appendage of any negative mass, −U, to any smooth unimodal symmetric kernel of order p=2 shifts expected estimator mass from regions where f″(x)>0 to regions where f″(x)<0. For large n, the mean automatic kernel adaptation induced by −U is analyzed in the simplest MISE reduction scenario: The symmetric appendage of −U to the uniform kernel K(x, X) over MISE-optimal bandwidths reduces MISE by shifting K(x, X) mass asymmetrically across the observation X in the direction of decreasing |f″(x)|. The Institute of Statistical Mathematics, 1996 Kernel adaptation nationallicence higher order kernels nationallicence induced kernel asymmetry nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/4(1996-12-01), 675-686 0020-3157 48:4<675 1996 48 10463 https://doi.org/10.1007/BF00052327 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00052327 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sturgeon Michael Mathematics Department, Salem State College, 45 Blaisdell Drius, 01741, Carlisle, MA, U.S.A aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/4(1996-12-01), 675-686 0020-3157 48:4<675 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer