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Statistical inferen...
Statistical inference for Rényi entropy functionals
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- Källberg, David, 1982- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Leonenko, Nikolaj (författare)
- School of Mathematics, Cardiff University, Cardiff, UK
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- Oleg, Seleznjev, 1954- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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(creator_code:org_t)
- Berlin, Heidelberg : Springer Berlin/Heidelberg, 2012
- 2012
- Engelska.
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Ingår i: Conceptual modelling and its theoretical foundations. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 9783642282782 - 9783642282799 ; , s. 36-51
- Relaterad länk:
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http://arxiv.org/pdf...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Numerous entropy-type characteristics (functionals) generalizing Rényi entropy are widely used in mathematical statistics, physics, information theory, and signal processing for characterizing uncertainty in probability distributions and distribution identification problems. We consider estimators of some entropy (integral) functionals for discrete and continuous distributions based on the number of epsilon-close vector records in the corresponding independent and identically distributed samples from two distributions. The proposed estimators are generalized U-statistics. We show the asymptotic properties of these estimators (e.g., consistency and asymptotic normality). The results can be applied in various problems in computer science and mathematical statistics (e.g., approximate matching for random databases, record linkage, image matching).
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- entropy estimation
- Rényi entropy
- U-statistics
- approximate matching
- asymptotic normality
Publikations- och innehållstyp
- ref (ämneskategori)
- kap (ämneskategori)
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