Estimation of P{Y
J. Bartoszewicz (1977)
Applicationes Mathematicae
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J. Bartoszewicz (1977)
Applicationes Mathematicae
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Sudakov, V.N., Sudakov, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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S. Trybuła (1974)
Applicationes Mathematicae
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Beniamin Goldys (1985)
Banach Center Publications
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Jelena Bulatović, Alobodanka Janjić (1979)
Publications de l'Institut Mathématique
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I.A. Ahmad, P.E. Lin (1983)
Metrika
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Stanisław Trybuła (2002)
Applicationes Mathematicae
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The problem of minimax estimation of parameters of multinomial distribution is considered for a loss function being the sum of the losses of the statisticians taking part in the estimation process.
Ghosh, Jayanta K. (1998)
Documenta Mathematica
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Acu, Dumitru (1996)
General Mathematics
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Ingster, Yu., Suslina, I. (2005)
Zapiski Nauchnykh Seminarov POMI
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R. Zmyślony (1976)
Applicationes Mathematicae
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J. Fischer (1982)
Metrika
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Karol Dziedziul, Bogdan Ćmiel (2014)
ESAIM: Probability and Statistics
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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, ). 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...
L. Gajek, A. Lenic (1993)
Applicationes Mathematicae
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An approximate necessary condition for the optimal bandwidth choice is derived. This condition is used to construct an iterative bandwidth selector. The algorithm is based on resampling and step-wise fitting the bandwidth to the density estimator from the previous iteration. Examples show fast convergence of the algorithm to the bandwidth value which is surprisingly close to the optimal one no matter what is the initial knowledge on the unknown density.
A. Styszyński (1984)
Applicationes Mathematicae
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W. Wertz (1994)
Metrika
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