The root–unroot algorithm for density estimation as implemented via wavelet block thresholding

[1]  Harrison H. Zhou,et al.  Asymptotic equivalence of spectral density estimation and gaussian white noise , 2009, 0903.1314.

[2]  Harrison H. Zhou,et al.  Robust nonparametric estimation via wavelet median regression , 2008, 0810.4802.

[3]  H. Triebel.  Theory of Function Spaces III , 2008 .

[4]  Jonathan Weinberg,et al.  Bayesian Forecasting of an Inhomogeneous Poisson Process With Applications to Call Center Data , 2007 .

[5]  A complement to Le Cam's theorem , 2007, 0708.2233.

[6]  T. Cai,et al.  Adaptive Confidence Balls , 2006, math/0605462.

[7]  Harrison H. Zhou.  A Note on Quantile Coupling Inequalities and Their Applications , 2006 .

[8]  T. Cai,et al.  Block thresholding for density estimation: local and global adaptivity , 2005 .

[9]  Christopher R. Genovese,et al.  Confidence sets for nonparametric wavelet regression , 2005, math/0505632.

[10]  Avishai Mandelbaum,et al.  Statistical Analysis of a Telephone Call Center , 2005 .

[11]  Andrew V. Carter,et al.  Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift , 2004, math/0503674.

[12]  L. Brown,et al.  Statistical properties of the method of regularization with periodic Gaussian reproducing kernel , 2004, math/0410093.

[13]  Ren-Jiang Zhang.  Nonparametric density estimation via wavelets , 2002 .

[14]  T. Tony Cai,et al.  ON BLOCK THRESHOLDING IN WAVELET REGRESSION: ADAPTIVITY, BLOCK SIZE, AND THRESHOLD LEVEL , 2002 .

[15]  B. Silverman,et al.  Incorporating Information on Neighboring Coefficients Into Wavelet Estimation , 2001 .

[16]  T. Cai.  Adaptive wavelet estimation : A block thresholding and oracle inequality approach , 1999 .

[17]  P. Hall,et al.  ON THE MINIMAX OPTIMALITY OF BLOCK THRESHOLDED WAVELET ESTIMATORS , 1999 .

[18]  P. Hall,et al.  Block threshold rules for curve estimation using kernel and wavelet methods , 1998 .

[19]  I. Johnstone,et al.  Minimax estimation via wavelet shrinkage , 1998 .

[20]  M. Nussbaum.  Asymptotic Equivalence of Density Estimation and Gaussian White Noise , 1996 .

[21]  L. Brown,et al.  A constrained risk inequality with applications to nonparametric functional estimation , 1996 .

[22]  L. Brown,et al.  Asymptotic equivalence of nonparametric regression and white noise , 1996 .

[23]  I. Johnstone,et al.  Density estimation by wavelet thresholding , 1996 .

[24]  Peter Hall,et al.  Formulae for Mean Integrated Squared Error of Nonlinear Wavelet-Based Density Estimators , 1995 .

[25]  L. Schumaker,et al.  Recent advances in wavelet analysis , 1995 .

[26]  Y. Meyer.  Wavelets and Operators , 1993 .

[27]  I. Daubechies,et al.  Multiresolution analysis, wavelets and fast algorithms on an interval , 1993 .

[28]  David L. Donoho,et al.  Nonlinear Wavelet Methods for Recovery of Signals, Densities, and Spectra from Indirect and Noisy Da , 1993 .

[29]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[30]  O. Lepskii.  On a Problem of Adaptive Estimation in Gaussian White Noise , 1991 .

[31]  Shaul K. Bar-Lev,et al.  ON THE CONSTRUCTION OF CLASSES OF VARIANCE STABILIZING TRANSFORMATIONS , 1990 .

[32]  Gilbert Strang,et al.  Wavelets and Dilation Equations: A Brief Introduction , 1989, SIAM Rev..

[33]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[34]  T. Runst.  Mapping properties of non-linear operators in spaces of Triebel-Lizorkin and Besov type , 1986 .

[35]  Bradley Efron.  Transformation Theory: How Normal is a Family of Distributions? , 1982 .

[36]  P. Major,et al.  An approximation of partial sums of independent RV'-s, and the sample DF. I , 1975 .

[37]  L. L. Cam.  On the Information Contained in Additional Observations , 1974 .

[38]  M. H. Hoyle,et al.  Transformations: An Introduction and a Bibliography , 1973 .

[39]  F. J. Anscombe,et al.  THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA , 1948 .

[40]  M. Bartlett.  The Square Root Transformation in Analysis of Variance , 1936 .