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Abstract
In this paper we consider a smoothness parameter estimation problem for a density function. The smoothness parameter of a function is defined in terms of Besov spaces. This paper is an extension of recent results (K. Dziedziul, M. Kucharska, B. Wolnik, Estimation of the smoothness parameter ). The construction of the estimator is based on wavelets coefficients. Although we believe that the effective estimation of the smoothness parameter is impossible in general case, we can show that it becomes possible for some classes of the density functions.
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Authors (2)
-
Bogdan Ćmiel
- AGH University of Science and Technology Faculty of Applied Mathematics
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1051/ps/2013030
- License
- Copyright (2013 EDP Sciences, SMAI)
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
ESAIM-Probability and Statistics
no. 18,
pages 130 - 144,
ISSN: 1292-8100 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Dziedziul K., Ćmiel B.: Density smoothness estimation problem using a wavelet approach// ESAIM-Probability and Statistics. -Vol. 18, (2014), s.130-144
- DOI:
- Digital Object Identifier (open in new tab) 10.1051/ps/2013030
- Verified by:
- Gdańsk University of Technology
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