References
- Barron , A. R. , Gyorfi , L. and van der Meulen , E.C. 1992 . Distribution estimation consistent in total variation and in two types of information divergence . IEEE Transactions on Information Theory , 38 : 1437 – 1454 .
- Beirlant , J. , Gyorfi , L. and Lugosi , G. 1994 . On the asymptotic normality of the L1- and L2-errors in histogram density estimation . Canadian Journal of Statistics , 22 : 309 – 318 .
- Beirlant , J. and Mason , D. M. 1995 . On the asymptotic normality of L p -norms of empirical functionals . Mathematical Methods of Statistics , 4 : 1 – 19 .
- Berlinet , A. 1995 . A note on variance reduction . Statistics and Probability Letters , 25 : 357 – 360 .
- Berlinet , A. , Devroye , L. and Gyorfi , L. 1995 . Asymptotic normality of L1 error in density estimation . Statistics , 26 : 329 – 343 .
- Bickel , P. and Rosenblatt , M. 1973 . On some global measures of the deviation of density function estimates . Ann. Statist , 1 : 1071 – 1095 .
- Csorgo , M. and Horvath , L. 1988 . Central limit theorems for L p -norms of density estimators . Z. Wahrsch. Verw. Gebiete , 80 : 269 – 291 .
- Deheuvels , P. and Mason , D. M. 1992 . Functional laws of the iterated logarithm [or the increments of empirical and quantile processes . Ann. Probab , 20 : 128 – 1287 .
- Devroye , L. and Gyorfi , L. 1985 . Nonparametric Density Estimation: The Z.,- View , New York : Wiley .
- Einmahl , J. H. J. and Ruymgaart , F. H. 1987 . The order of magnitude of the moments of the modulus of continuity of multiparameter Poisson and empirical processes . J. Multiv. Analysis , 21 : 263 – 273 .
- Hall , P. 1994 . Central limit theorem for integrated square error of multivariate nonparametric density estimators . Journal of Multivariate Analysis , 14 : 1 – 16 .
- Horvath , L. 1991 . On Z p norms of multivariate density estimators . Ann. Statist , 19 : 1933 – 1949 .
- Rosenblatt , M. 1975 . A quadratic measure of deviation of two-dimensional density estimates and a test of independence . Ann. Statist , 3 : 1 – 14 .
- Rosenblatt , M. 1976 . On the maximal deviation of k-dimensional density estimates . Ann. Probab , 4 : 1009 – 1015 .
- Sweeting , T. J. 1977 . Speeds of convergence for the multidimensional central limit theorem . Ann. Probab , 5 : 28 – 41 .