Root-n consistent density estimators of convolutions in weighted L1-norms

Journal of Statistical Planning and Inference

Volumn 137, Issue 6, 2007, Pages 1765-1774

  Schick, Anton ^a   Wefelmeyer, Wolfgang ^b  

^a BINGHAMTON UNIVERSITY   (United States)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846369159     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.06.041     Document Type: Article

References (7)

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2. Giné, E., Mason, D.M., 2005. On local U-statistic processes and the estimation of densities of functions of several variables. Technical Report, Department of Mathematics, University of Connecticut.
3. Ledoux, M., Talagrand, M., 1991. Probability in Banach Spaces. Isoperimetry and Processes. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 23, Springer, Berlin.
4. Saavedra A., and Cao R. On the estimation of the marginal density of a moving average process. Canad. J. Statist. 28 (2000) 799-815
5. Schick A., and Wefelmeyer W. Root n consistent density estimators for sums of independent random variables. J. Nonparametric Statist. 16 (2004) 925-935
6. van der Vaart, A.W., Wellner, J.A., 1996. Weak Convergence and Empirical Processes. With Applications to Statistics. Springer Series in Statistics. Springer, New York.
7. Yosida, K., 1980. Functional Analysis, sixth ed. Grundlehren der mathematischen Wissenschaften, vol. 123. Springer, Berlin.