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In this paper we develop rate--optimal estimation procedures in the problem of estimating the $L_p$--norm, $p\in (0, \infty)$ of a probability density from independent observations.
de Guzman, M
1975
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Nikol’skii S.M
1977
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Serfling, R. J
1980
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Bickel, R.J
1988
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Birgé, L
1995
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Kerkyacharian, G
1996
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Laurent, B
1997
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Folland, G
1999
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Lepski, O.V., Nemirovski, A
1999
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Lepski, O.V
1999
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Cai, T.T
2005
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Tchetgen, E., Li, L., Robins, J
2008
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Goldenshluger, A
2014
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2019
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Goldenshluger, A
2020
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