In this framework, we obtain the usual rate of minimax convergence and study the behaviour of a wavelet estimator.doi:10.1016/0167-7152(92)90231-SG. KerkyacharianD. PicardStatistics & Probability LettersG. Kerkyacharian and D. Picard, Density estimation in Besov spaces, Statist. Prob. Lett....
This implies, for example, that the minimax rates that have been estimated for the Sobolev balls are in fact only a consequence of their inclusions in such Besov balls关键词: Density estimation minimax kernels wavelets Besov spaces DOI: 10.1016/0167-7152(93)90024-D 被引量: 209 ...
Bound of Density Estimation for Biased Data in Sobolev Spaces Jinru Wang1,a Yuan Zhou2,b 12College of Applied Science, Beijing University of Technology, Beijing, China awangjinru@bjut.edu.cn byuanzhou@emails.bjut.edu.cn Keywords: Lower Bound, Density Estimation, Biased Data, Sobolev Spaces....
We prove that our estimator is adaptive over a class of Besov spaces, namely, we prove that it achieves the same rates of convergence as in the i.i.d. framework.doi:10.3103/S1066530709010049M. Lerasle1. Inst. de Math. (UMR 5219), INSA de Toulouse, Univ. de Toulouse, Toulouse, ...
EQUIVALENCE THEORY FOR DENSITY ESTIMATION 3 to transformations T with deterministic inverses, T −1 (T(X, U)) = X. The experiments are asymptotically equivalent if the total-variation distance be- tween P (2) θ and the distribution of T under P (1) θ converges to 0 uniformly in θ...
Minimax estimationMean integrated squared error density estimationWavelet orthonormal basesBesov spacesWe prove here that when estimating a density, using a kernel or a linear wavelet estimate, one can choose the smoothing parameter such that the limit when n tends to infinity of ??? may be arbitra...
H. Y. Wang.Convergence rates of density estimation in Besov spaces. AppliedMathematics . 2011Wang, HY: Convergence rates of density estimation in Besov spaces. Appl. Math. 2(10), 1258-1262 (2011)H. Y. Wang. Convergence rates of density estimation in Besov spaces. Applied Mathematics, 2 (...
H. Y. Wang.Convergence rates of density estimation in Besov spaces. AppliedMathematics . 2011Wang, HY: Convergence rates of density estimation in Besov spaces. Appl. Math. 2(10), 1258-1262 (2011)H. Y. Wang. Convergence rates of density estimation in Besov spaces. Applied Mathematics, 2 (...
Density estimation by kernel and wavelets methods: Optimality of Besov spaces This paper is showing that the saturation space of the minimax rate associated to a Lp loss and linear estimators is the Besov space Bs[infinity]p. More pr... G Kerkyacharian,D Picard - 《Statistics & Probability...
Wavelet density estimation for negatively associated stratified size-biased samplewavelet estimatordensity functionweight functionnegatively associatedBesov spaceThis paper provides upper bounds of wavelet estimations on Lp (1≤p<∞) risk for a density function in Besov spaces based on negatively associated ...