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Volumn , Issue , 2009, Pages

On the statistical estimation of Rényi entropies

Author keywords

[No Author keywords available]

Indexed keywords

MACHINE-LEARNING; STATISTICAL ESTIMATION; STATISTICAL PHYSICS;

EID: 77950925139     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MLSP.2009.5306242     Document Type: Conference Paper
Times cited : (9)

References (14)
  • 1
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 623-656
    • C. E. Shannon, "A mathematical theory of communication," Bell System Technical Journal , vol. 27, pp. 379-423,623-656, 1948.
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 5
    • 33751303764 scopus 로고    scopus 로고
    • Renyi entropy as a statistical entropy for complex systems
    • DOI 10.1007/s11232-006-0138-x
    • A.G. Bashkirov, "Renyi entropy as a statistical entropy for complex systems," Theoretical and Mathematical Physics, vol.149, no.2, pp. 1559-1573, 2006. (Pubitemid 44798020)
    • (2006) Theoretical and Mathematical Physics , vol.149 , Issue.2 , pp. 1559-1573
    • Bashkirov, A.G.1
  • 6
    • 0036647905 scopus 로고    scopus 로고
    • An error-entropy minimization algorithm for supervised training of non-linear adaptive systems
    • D. Erdogmus and J.C. Principe, "An error-entropy minimization algorithm for supervised training of non-linear adaptive systems," IEEE Transaction On Signal Processing, vol. 50, no. 7, pp. 1780-1786, 2002.
    • (2002) IEEE Transaction on Signal Processing , vol.50 , Issue.7 , pp. 1780-1786
    • Erdogmus, D.1    Principe, J.C.2
  • 7
    • 54349103517 scopus 로고    scopus 로고
    • A class of Rényi information estimators for multidimensional densities
    • N. Leonenko, L. Pronzato, and V. Savani, "A class of Rényi information estimators for multidimensional densities," Annals of Statistics, vol. 36, no. 5, pp. 2153-2182, 2008.
    • (2008) Annals of Statistics , vol.36 , Issue.5 , pp. 2153-2182
    • Leonenko, N.1    Pronzato, L.2    Savani, V.3
  • 8
    • 77950930885 scopus 로고    scopus 로고
    • A boundary corrected expansion of the moments of nearest neighbor distributions
    • Tech. Rep. TKK-ICS-R9, Helsinki University of Technology, Espoo, Finland
    • Elia Liitiäinen, Francesco Corona, and Amaury Lendasse, "A boundary corrected expansion of the moments of nearest neighbor distributions," Tech. Rep. TKK-ICS-R9, Helsinki University of Technology, TKK Reports in Information and Computer Science, Espoo, Finland, 2008.
    • (2008) TKK Reports in Information and Computer Science
    • Liitiäinen, E.1    Corona, F.2    Lendasse, A.3
  • 9
    • 0001313265 scopus 로고
    • Limit theorems and rates of convergence for euclidean functionals
    • C. Redmond and J.E. Yukich, "Limit theorems and rates of convergence for euclidean functionals," Annals of Applied Probability, vol. 4, no. 4, pp. 1057-1073, 1994.
    • (1994) Annals of Applied Probability , vol.4 , Issue.4 , pp. 1057-1073
    • Redmond, C.1    Yukich, J.E.2
  • 10
    • 0011274512 scopus 로고    scopus 로고
    • Asymptotic moments of near neighbour distance distributions
    • D. Evans, A. Jones, and W. M. Schmidt, "Asymptotic moments of near neighbour distance distributions," Proceedings of the Royal Society A, vol. 458, no. 2028, pp. 2839-2849, 2008.
    • (2008) Proceedings of the Royal Society A , vol.458 , Issue.2028 , pp. 2839-2849
    • Evans, D.1    Jones, A.2    Schmidt, W.M.3
  • 11
    • 0037274513 scopus 로고    scopus 로고
    • Weak laws of large numbers in geometric probability
    • M. D. Penrose and J. E. Yukich, "Weak laws of large numbers in geometric probability," Annals of Applied Probability, vol. 13, no. 1, pp . 277-303, 2003.
    • (2003) Annals of Applied Probability , vol.13 , Issue.1 , pp. 277-303
    • Penrose, M.D.1    Yukich, J.E.2
  • 12
    • 34547700829 scopus 로고    scopus 로고
    • Explicit laws of large numbers for random nearest-neighbour type graphs
    • A. R. Wade, "Explicit laws of large numbers for random nearest-neighbour type graphs," Advances in Applied Probability, vol. 39, no. 2, pp. 326-342, 2007.
    • (2007) Advances in Applied Probability , vol.39 , Issue.2 , pp. 326-342
    • Wade, A.R.1
  • 13
    • 54849429557 scopus 로고    scopus 로고
    • A law of large numbers for nearest neighbour statistics
    • D. Evans, "A law of large numbers for nearest neighbour statistics," Proceedings of the Royal Society A, vol. 464, no. 2100, pp. 3175-3192, 2008.
    • (2008) Proceedings of the Royal Society A , vol.464 , Issue.2100 , pp. 3175-3192
    • Evans, D.1
  • 14
    • 34547700101 scopus 로고    scopus 로고
    • Gaussian limits for random geometric measures
    • M. D. Penrose, "Gaussian limits for random geometric measures," Electronic Journal of Probability, vol. 12, pp. 989-1035, 2007.
    • (2007) Electronic Journal of Probability , vol.12 , pp. 989-1035
    • Penrose, M.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.