메뉴 건너뛰기




Volumn , Issue , 2008, Pages

Estimating divergence functionals and the likelihood ratio by penalized convex risk minimization

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; RISK PERCEPTION;

EID: 85161959021     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (97)

References (23)
  • 1
    • 0001199215 scopus 로고
    • A general class of coefficients of divergence of one distribution from another
    • S. M. Ali and S. D. Silvey. A general class of coefficients of divergence of one distribution from another. J. Royal Stat. Soc. Series B, 28:131-142, 1966.
    • (1966) J. Royal Stat. Soc. Series B , vol.28 , pp. 131-142
    • Ali, S.M.1    Silvey, S.D.2
  • 3
    • 0001667487 scopus 로고
    • Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Sankhyā
    • P. Bickel and Y. Ritov. Estimating integrated squared density derivatives: Sharp best order of convergence estimates. Sankhyā Ser. A, 50:381-393, 1988.
    • (1988) Ser. A , vol.50 , pp. 381-393
    • Bickel, P.1    Ritov, Y.2
  • 4
    • 21844523744 scopus 로고
    • Estimation of integral functionals of a density
    • L. Birgé and P. Massart. Estimation of integral functionals of a density. Ann. Statist., 23(1):11-29, 1995.
    • (1995) Ann. Statist. , vol.23 , Issue.1 , pp. 11-29
    • Birgé, L.1    Massart, P.2
  • 6
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observation
    • I. Csiszár. Information-type measures of difference of probability distributions and indirect observation. Studia Sci. Math. Hungar, 2:299-318, 1967.
    • (1967) Studia Sci. Math. Hungar , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 10
    • 34250096247 scopus 로고
    • Estimation of entropy and other functionals of a multivariate density
    • H. Joe. Estimation of entropy and other functionals of a multivariate density. Ann. Inst. Statist. Math., 41:683-697, 1989.
    • (1989) Ann. Inst. Statist. Math. , vol.41 , pp. 683-697
    • Joe, H.1
  • 11
    • 0038236399 scopus 로고    scopus 로고
    • Dual representation of Á-divergences and applications
    • A. Keziou. Dual representation of Á-divergences and applications. C. R. Acad. Sci. Paris, Ser. I 336, pages 857-862, 2003.
    • (2003) C. R. Acad. Sci. Paris, Ser. i , vol.336 , pp. 857-862
    • Keziou, A.1
  • 12
    • 0030490121 scopus 로고    scopus 로고
    • Efficient estimation of integral functionals of a density
    • B. Laurent. Efficient estimation of integral functionals of a density. Ann. Statist., 24(2):659-681, 1996.
    • (1996) Ann. Statist. , vol.24 , Issue.2 , pp. 659-681
    • Laurent, B.1
  • 13
    • 0017991843 scopus 로고
    • Asymptotically efficient estimation of nonlinear functionals
    • B. Ya. Levit. Asymptotically efficient estimation of nonlinear functionals. Problems Inform. Transmission, 14:204-209, 1978. (Pubitemid 9463875)
    • (1978) Probl Inf Transm , vol.14 , Issue.3 , pp. 204-209
    • Levit, B.Y.1
  • 16
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • G. Rockafellar. Convex Analysis. Princeton University Press, Princeton, 1970.
    • (1970) Convex Analysis
    • Rockafellar, G.1
  • 19
    • 0034224418 scopus 로고    scopus 로고
    • Some inequalities for information divergence and related measures of discrimination
    • F. Topsoe. Some inequalities for information divergence and related measures of discrimination. IEEE Transactions on Information Theory, 46:1602-1609, 2000.
    • (2000) IEEE Transactions on Information Theory , vol.46 , pp. 1602-1609
    • Topsoe, F.1
  • 22
    • 26444495559 scopus 로고    scopus 로고
    • Divergence estimation of continuous distributions based on data-dependent partitions
    • DOI 10.1109/TIT.2005.853314
    • Q. Wang, S. R. Kulkarni, and S. Verdú. Divergence estimation of continuous distributions based on data-dependent partitions. IEEE Transactions on Information Theory, 51(9):3064-3074, 2005. (Pubitemid 41430975)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.9 , pp. 3064-3074
    • Wang, Q.1    Kulkarni, S.R.2    Verdu, S.3
  • 23
    • 0036748375 scopus 로고    scopus 로고
    • The covering number in learning theory
    • D. X. Zhou. The covering number in learning theory. Journal of Complexity, 18:739-767, 2002.
    • (2002) Journal of Complexity , vol.18 , pp. 739-767
    • Zhou, D.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.