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Volumn 45, Issue 6, 2009, Pages 885-900

On metric divergences of probability measures

Author keywords

Hellinger divergence; Information divergence; Jensen Shannon divergence; Le Cam divergence; Metric divergences; Total variation

Indexed keywords


EID: 77952578798     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (14)
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    • I. Csiszár: Information-type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar. 2 (1967), 299-318.
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    • Csiszár, I.1
  • 2
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    • On topological properties of f-divergences
    • I. Csiszár: On topological properties of f-divergences. Studia Sci. Math. Hungar. 2 (1967), 329-339.
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 329-339
    • Csiszár, I.1
  • 3
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    • Jensen-Shannon divergence and Hilbert space embedding
    • Theory, IEEE Publications, New York
    • B. Fuglede and T. Topsøe: Jensen-Shannon divergence and Hilbert space embedding. In: Proc. IEEE Internat. Symposium on Inform. Theory, IEEE Publications, New York 2004, p. 31.
    • (2004) Proc. IEEE Internat. Symposium on Inform , pp. 31
    • Fuglede, B.1    Topsøe, T.2
  • 5
    • 68949135205 scopus 로고    scopus 로고
    • Confliction of the convexity and metric properties in f-divergences
    • on Fundamentals E90-A
    • M. Khosravifard, D. Fooladivanda, and T. A. Gulliver: Confliction of the convexity and metric properties in f-divergences. IEICE Trans. on Fundamentals E90-A (2007), 1848-1853.
    • (2007) IEICE Trans , pp. 1848-1853
    • Khosravifard, M.1    Fooladivanda, D.2    Gulliver, T.A.3
  • 6
    • 44449167136 scopus 로고    scopus 로고
    • Extensions of the parametric families of divergences used in statistical inference
    • V. Kůs, D. Morales, and I. Vajda: Extensions of the parametric families of divergences used in statistical inference. Kybernetika 44 (2008), 95-112.
    • (2008) Kybernetika , vol.44 , pp. 95-112
    • Kůs, V.1    Morales, D.2    Vajda, I.3
  • 9
    • 33947426775 scopus 로고    scopus 로고
    • On divergence and informations in statistics and information theory
    • F. Liese and I. Vajda: On divergence and informations in statistics and information theory. IEEE Trans. Inform. Theory 52 (2006), 4394-4412.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 4394-4412
    • Liese, F.1    Vajda, I.2
  • 10
    • 0000085092 scopus 로고
    • Decision rules based on the distance for problems of fit, two samples and estimation
    • K. Matusita: Decision rules based on the distance for problems of fit, two samples and estimation. Ann. Math. Statist. 26 (1955), 631-640.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 631-640
    • Matusita, K.1
  • 11
    • 0041113218 scopus 로고    scopus 로고
    • On a class of perimeter-type distances of probability distributions
    • F. Öesterreicher: On a class of perimeter-type distances of probability distributions. Kybernetika 32 (1996), 389-393.
    • (1996) Kybernetika , vol.32 , pp. 389-393
    • Öesterreicher, F.1
  • 12
    • 10744227947 scopus 로고    scopus 로고
    • A new class of metric divergences on probability spaces and its statistical applications
    • F. Österreicher and I. Vajda: A new class of metric divergences on probability spaces and its statistical applications. Ann. Inst. Statist. Math. 55 (2003), 639-653.
    • (2003) Ann. Inst. Statist. Math. , vol.55 , pp. 639-653
    • Österreicher, F.1    Vajda, I.2
  • 13
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    • On the f-divergence and singularity of probability measures
    • I. Vajda: On the f-divergence and singularity of probability measures. Period. Math. Hungar. 2 (1972), 223-234.
    • (1972) Period. Math. Hungar. , vol.2 , pp. 223-234
    • Vajda, I.1
  • 14
    • 0011872993 scopus 로고
    • On the concept and measure of information contained in an observation
    • (J. Gani and V. F. Rohatgi, eds.), Academic Press, New York
    • I. Vincze: On the concept and measure of information contained in an observation. In: Contributions to Probability (J. Gani and V. F. Rohatgi, eds.), Academic Press, New York 1981, pp. 207-214.
    • (1981) Contributions to Probability , pp. 207-214
    • Vincze, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.