Publications by J. S. Marron

(last revised: July 1999)

Research Papers Published in Refereed Journals:

"Optimal rates on convergence to Bayes risk in nonparametric discrimination", (1983) Annals of Statistics, 11, 1142-1155.

"Asymptotic nonequivalence of some bandwidth selectors in nonparametric regression", with W. Haerdle, (1985) Biometrika, 72, 481-484.

"An asymptotically efficient solution to the bandwidth problem of kernel density estimation", (1985), Annals of Statistics, 13, 1011-1023.

"Optimal bandwidth selection in nonparametric regression function estimation", with W. Haerdle, (1985) Annals of Statistics, 13, 1465-1481.

"Bandwidth choice in nonparametric regression function estimation", with W. Haerdle, (1985) Statistics and Decisions, Sup. 2, 173-177.

"Convergence properties of an empirical error criterion for multivariate density estimation", (1986) Journal of Multivariate Analysis, 19, 1-13.

"Random approximations to some measures of accuracy in nonparametric curve estimation", with W. Haerdle, (1986) Journal of Multivariate Analysis, 20, 91-113.

"A comparison of cross-validation techniques in density estimation", (1987) Annals of Statistics, 15, 152-162.

"On the amount of noise inherent in bandwidth selection for a kernel density estimator", with P. Hall (1987) Annals of Statistics, 15, 163-181.

"Extent to which least squares cross validation minimizes integrated squared error in nonparametric density estimation", with P. Hall, (1987) Probability Theory and Related Fields, 74, 567-581.

"Estimation of integrated squared density derivatives", with P. Hall, (1987), Statistics and Probability Letters, 6, 109-115.

Asymptotically optimal bandwidth selection for kernel density estimators from randomly right censored samples", with W. J. Padgett, (1987) Annals of Statistics, 15, 1520-1535.

"Choice of kernel order in density estimation", with P. Hall, (1988), Annals of Statistics, 16, 161-173.

"How far are automatically chosen regression smoothing parameter selectors from their optimum?", with W. Haerdle and P. Hall, (1988), Journal of the American Statistical Association, 83, 86-101 (with discussion).

"Equivalence of smoothing parameter selectors in density and intensity estimation", with P. Diggle, (1988), Journal of the American Statistical Association, 83, 793-800.

"Partitioned cross-validation", (1988) Economic Reviews, 6, 271-283.

"Automatic smoothing parameter selection: a survey", (1988) Empirical Economics, 13, 187-208 (also in Semiparametric and Nonparametric Econometrics, 1989 Ed: A. Ullah, Physica Verlag, Heidelberg, 65-86).

"Variable window width kernel estimates of probability densities", with P. Hall, (1988), Probability Theory and Related Fields, 80, 37-49.

"Uniform consistency of automatic and location adaptive delta-sequence estimators", with D. Nolan, (1989), Probability Theory and Related Fields, 80, 619-632.

"Canonical kernels for density estimation", with D. Nolan, (1989), Statistics and Probability Letters, 7, 195-199.

"Comments on a data based bandwidth selector", (1989), Computational Statistics and Data Analysis, 8, 155-170.

"Semiparametric comparison of regression curves", with W. Haerdle, (1990) Annals of Statistics, 18, 63-89.

"Comparison of data-driven bandwidth selectors", with B. U. Park, (1990) Journal of the American Statistical Association, 85, 66-72.

"Bandwidth choice for density derivatives", with W. Haerdle and M. P. Wand, (1990), Journal of the Royal Statistical Society, Series B, 52, 223-232.

"Kernel quantile estimation", with S. J. Sheather, (1990) Journal of the American Statistical Association, 85, 410-419.

"On variance estimation in nonparametric regression", with P. Hall, (1990) Biometrika, 77, 415-419.

"The negative correlations between data-determined bandwidths and the optimal bandwidth", with S. T. Chiu (1990) Statistics and Probability Letters, 10, 173-180.

"Local minima in cross-validation functions", with P. Hall (1991), Journal of the Royal Statistical Society, Series B., 53, 245-252.

"Bootstrap simultaneous error bars for nonparametric regression", with W. Haerdle, (1991) Annals of Statistics, 19, 778-796

"Transformations in density estimation", with M. P. Wand and D. Ruppert (1991), Journal of the American Statistical Association, 86, 343-361 (with discussion).

"On optimal data-based bandwidth selection in kernel density estimation", with P. Hall, S. J. Sheather and M. C. Jones (1991), Biometrika, 78, 263-269.

"Lower bounds for bandwidth selection in density estimation", with P. Hall, (1991), Probability Theory and Related Fields, 90, 149-173.

"Asymptotic optimality of the least-squares cross-validation bandwidth for kernel estimates of intensity functions", with M. M. Brooks (1991), Stochastic Processes and Their Applications, 38, 157-165.

"Comparison of two bandwidth selectors with dependent errors", with C. K. Chu (1991), Annals of Statistics, 19, 1906-1918.

"A simple root n bandwidth selector", with M. C. Jones and B. U. Park (1991), Annals of Statistics, 19, 1919-1932.

"Choosing a kernel regression estimator", with C. K. Chu (1991) Statistical Science, 6, 404-436 (with discussion).

"On the use of pilot estimators in bandwidth selection", with B. U. Park (1992), Journal of Nonparametric Statistics, 1, 231-240.

"Bandwidth selection for average derivative estimation", with W. Haerdle, J. Hart and A. B. Tsybakov (1992) Journal of the American Statistical Association, 87, 218-226.

"Regression smoothing parameters that are not far from their optimum", with W. Haerdle and P. Hall (1992) Journal of the American Statistical Association, 87, 227-233.

"Some asymptotics for multimodality tests based on kernel density estimates", with E. Mammen and N. I. Fisher (1992) Probability Theory and Related Fields, 91, 115-132.

"Smoothed Cross-Validation", with P. Hall and B. U. Park (1992) Probability Theory and Related Fields, 92,1-20.

"Exact mean integrated squared error", with M. P. Wand (1992) Annals of Statistics, 20, 712-736.

"Simultaneous estimation of several size distributions of income", with H. P. Schmitz (1992) Econometric Theory, 8, 476-488.

"Best possible constant in bandwidth selection", with J. Fan (1992) Annals of Statistics, 20, 2057-2070.

"Fast implementations of nonparametric curve estimators", with J. Fan (1994) Journal of Computational and Graphical Statistics, 3, 35-56.

"Asymptotically best bandwidth selectors in kernel density estimation", with B. U. Park and W. C. Kim (1994) Statistics and Probability Letters, 19, 119-127.

"Transformations to reduce boundary bias in kernel density estimation" with D. Ruppert (1994) Journal of the Royal Statistical Society, Series B, 56, 653-671.

"Loss and risk in smoothing parameter selection", with B. Grund and P. Hall (1994) Journal of Nonparametric Statistics, 4, 107-132.

"Some heuristics of kernel based estimators of ratio functions", with P. N. Patil and M. T. Wells (1994) Journal of Nonparametric Statistics, 4, 203-209.

"Testing for multimodality", with N. I. Fisher and E. Mammen (1994) Computational Statistics and Data Analysis, 18, 499-512.

"Visual understanding of higher order kernels", (1994) Journal of Computational and Graphical Statistics, 3, 447-458.

"Visual error criteria for qualitative smoothing", with A. B. Tsybakov (1995) Journal of the American Statistical Association, 90, 499-507.

"Improved variable window estimators of probability densities", with P. Hall and T. C. Hu (1995) Annals of Statistics, 23, 1-10.

"Fast and Simple Smoothing Parameter Selection", with W. Haerdle (1995) Computational Statistics and Data Analysis, 20, 1-17.

"On partial local smoothing rules for curve estimation", with P. Hall, and D. M. Titterington (1995) Biometrika, 82, 575-587.

"Scale measures for bandwidth selection", with P. Janssen, N. Veraverbeeke, and W. Sarle (1995) Journal of Nonparametric Statistics, 5,359-380.

"Facts about the Gaussian probability density function", with B. Aldershof, B. U. Park, and M. P. Wand (1995) Applicable Analysis, 59, 289-306.

"A brief survey of bandwidth selection for density estimation", with M. C. Jones and S. J. Sheather, (1996) Journal of the American Statistical Association, 91, 401-407.

"A curious property of the derivatives of the Cauchy density", with D. M. Titterington and P. Hall, (1996) Statistics and Probability Letters, 27, 227-229.

"Progress in data-based bandwidth selection for kernel density estimation", with M. C. Jones and S. J. Sheather, (1996) Computational Statistics, 11, 337-381.

"Bootstrap selection of the smoothing parameter in nonparametric hazard rate estimation", with W. Gonzlez-Manteiga and R. Cao, (1996) Journal of the American Statistical Association, 91, 1130-1140.

“Curve estimation when the design density is low”, with P. Hall, M. H. Neumann, D. M. Titterington, (1997) Annals of Statistics, 25, 756-770.

“A nonlinear Gaussian filter applied to images with discontinuities”, with F. Godtliebsen and E. Spjøtvoll, (1997) Journal of Nonparametric Statistics, 8, 21-43.

“On the role of the ridge parameter in local linear smoothing”, with P. Hall, (1997) Probability Theory and Related Fields, 108, 495-516.

“On automatic boundary correction”, with M. Y. Cheng, and J. Fan, (1997) Annals of Statistics, 25, 1691-1708.

“Mass recentered kernel smoothers”, with E. Mammen, (1997) Biometrika, 84, 765-777.

“Edge preserving smoothers for image processing”, with I. Glad, F. Godtliebsen and C. K. Chu (1998), Journal of the American Statistical Association, Theory and Methods Invited paper, with discussion, 93, 526-556.

“Exact risk analysis of wavelet regression”, with S. Adak, I. M. Johnstone, M. Neumann and P. Patil, (1998), Journal of Computational and Graphical Statistics, 7, 278-309.

“Assessing bandwidth selectors with visual error criteria”, (1998) Computational Statistics, 13, 511-527.

“Good writing in Mathematical Statistics”, (1999) Statistica Neerlandica, .53, 68-76.

“An assessment of finite sample performance of adaptive methods in density estimation”, with M. Farmen, (1999) Computational Statistics and Data Analysis, 30, 143-168.

“Iterated transformation kernel density estimation”, with L. Yang (1999) Journal of the American Statistical Association, 94, 580-589.
 

Minimally Refereed or Unrefereed Publications:

"Will the art of smoothing ever become a science?", (1986) in Function Estimates, volume 59 in AMS Contemporary Mathematics Series, J. S. Marron, ed. 169-178.

"What does optimal bandwidth selection mean for nonparametric regression estimation?", (1987) in Statistical Data Analysis Based on the L1 norm and related methods, Dodge, Y. ed. North-Holland Amsterdam, 379-392.

"Window width", article in Encyclopedia of Statistical Science, (1988, Johnson, N. L. and Kotz, S., Eds.)

"Root n bandwidth selection", (1991) in Nonparametric Functional Estimation and Related Topics, ed. G.G. Roussas, NATO ASI Series C: vol. 335, Kluwer Academic Publisher, Dordrecht, 251-260.

"Bootstrap bandwidth selection", (1992) in Exploring the Limits of Bootstrap, eds. R. LePage and L. Billard, Wiley, New York, 249-262.

"A personal view of smoothing and statistics", (1996) in Statistical Theory and Computational Aspects of Smoothing, eds. W. Haerdle and M. Schimek, 1-9 (with discussion, and rejoinder 103-112).

“Significance of Features via SiZer”, with P. Chaudhuri (1998), in Statistical Modelling, Proceedings of 13th International Workshop on Statistical Modelling, Brian Marx and Herwig Friedl, Eds., 65-75.

“When is a feature really there? The SiZer approach”, with P. Chaudhuri (1998),  Automatic Target Recognition VII, Firooz A. Sadjadi, Editor, Proc. of SPIE vol. 3371, 306-312.

Book Review of Functional Data Analysis, by Ramsay, J. O. and Silverman, B. W. (1998) Journal of the American Statistical Association, 93, 1232.

“Bandwidth selection”, (1999) in Encyclopedia of Statistical Science, Update Volume 3, eds. S. Kotz, C. B. Read, D. L. Banks, Wiley New York, 18-20.

“Cross-Validation”, article in Encyclopedia of Biostatistics, (to appear, Armitage, P. and Colton, T. Eds.).
 

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