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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 4, Pages 813–818
DOI: https://doi.org/10.4213/tvp2598 (Mi tvp2598) 		 
Short Communications

Exponential confidence intervals in nonparametric density estimation

D. R. Bagdasarov, E. I. Ostrovskiia

a Obninsk Institute for Nuclear Power Engineering
Full-text PDF (309 kB)
DOI: https://doi.org/10.4213/tvp2598
Abstract: In this paper two-sided exponential bounds for confidence probabilities for an unknown distribution density are derived under the right norming on the Hölder classes in the minimax sense.
Keywords: exponential bound, minimax confidenceinterval, Young–Fenchel transform.
Received: 13.04.1995
Revised: 10.10.1996
English version:
Theory of Probability and its Applications, 1997, Volume 42, Issue 4, Pages 684–689
DOI: https://doi.org/10.1137/S0040585X97976532
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. R. Bagdasarov, E. I. Ostrovskii, “Exponential confidence intervals in nonparametric density estimation”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 813–818; Theory Probab. Appl., 42:4 (1997), 684–689
Citation in format AMSBIB
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\paper Exponential confidence intervals in nonparametric density estimation
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\pages 813--818
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\transl
\jour Theory Probab. Appl.
\yr 1997
\vol 42
\issue 4
\pages 684--689
\crossref{https://doi.org/10.1137/S0040585X97976532}
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  • https://www.mathnet.ru/eng/tvp/v42/i4/p813
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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