메뉴 건너뛰기




Volumn 45, Issue 5, 1999, Pages 1728-1735

Some inequalities relating different measures of divergence between two probability distributions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; PROBABILITY DISTRIBUTIONS; SENSOR DATA FUSION; STATISTICAL METHODS;

EID: 0032679969     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.771256     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 65249157560 scopus 로고
    • The divergence and Bhattacharyya distance measures in signal selection
    • Feb.
    • T. Kailath, "The divergence and Bhattacharyya distance measures in signal selection," IEEE Trans. Commun. Technol., vol. COM-15, pp. 52-60, Feb. 1967.
    • (1967) IEEE Trans. Commun. Technol. , vol.COM-15 , pp. 52-60
    • Kailath, T.1
  • 4
    • 0025209334 scopus 로고
    • General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis
    • Jan.
    • L. Jones and C. Byrne, "General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis," IEEE Trans. Inform. Theory, vol. 36, pp. 23-30, Jan. 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 23-30
    • Jones, L.1    Byrne, C.2
  • 7
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • I. Csiszár, "Information-type measures of difference of probability distributions and indirect observations," Studio Scient. Math. Hung., vol. 2, pp. 299-318, 1967.
    • (1967) Studio Scient. Math. Hung. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 8
    • 0001199215 scopus 로고
    • A general class of coefficients of divergence of one distribution from another
    • S. Ali and S. Silvey, "A general class of coefficients of divergence of one distribution from another," J. Roy. Stat. Soc., vol. 28, pp. 131-142, 1966.
    • (1966) J. Roy. Stat. Soc. , vol.28 , pp. 131-142
    • Ali, S.1    Silvey, S.2
  • 9
    • 0004029789 scopus 로고
    • (Teubner-Texte zur Mathematik, vol. 95). Leipzig, Germany: Teubner
    • F. Liese and I. Vajda, Convex Statistical Distances (Teubner-Texte zur Mathematik, vol. 95). Leipzig, Germany: Teubner, 1987.
    • (1987) Convex Statistical Distances
    • Liese, F.1    Vajda, I.2
  • 13
    • 0041959901 scopus 로고
    • Time series, statistics, and information
    • New York: Springer-Verlag
    • E. Parzen, "Time series, statistics, and information," in New Directions in Times Series Analysis I, IMA, vol. 45. New York: Springer-Verlag, 1990, pp. 265-286.
    • (1990) New Directions in Times Series Analysis I, IMA , vol.45 , pp. 265-286
    • Parzen, E.1
  • 14
    • 0242388452 scopus 로고    scopus 로고
    • Computing measures of divergence between exact or approximated distributions: A case for avoiding infinities
    • Marietta, GA
    • L. Withers, Jr., "Computing measures of divergence between exact or approximated distributions: A case for avoiding infinities," in Proc. 1998 IRIS Nat. Symp. Sensor and Data Fusion (Marietta, GA).
    • Proc. 1998 IRIS Nat. Symp. Sensor and Data Fusion
    • Withers Jr., L.1
  • 15
    • 0002215069 scopus 로고
    • On a measure of divergence between two statistical populations defined by their probability distributions
    • A. Bhattacharyya, "On a measure of divergence between two statistical populations defined by their probability distributions," Bull. Calcutta Math. Soc., vol. 35, pp. 99-109, 1943.
    • (1943) Bull. Calcutta Math. Soc. , vol.35 , pp. 99-109
    • Bhattacharyya, A.1
  • 16
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • H. Jeffreys, "An invariant form for the prior probability in estimation problems," Proc. Roy. Soc. A, vol. 186, pp. 453-461, 1946.
    • (1946) Proc. Roy. Soc. A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 17
    • 0000616816 scopus 로고
    • On the equivalence of infinite product measures
    • S. Kakutani, "On the equivalence of infinite product measures," Ann. Math., vol. 49, pp. 214-224, 1948.
    • (1948) Ann. Math. , vol.49 , pp. 214-224
    • Kakutani, S.1
  • 18
    • 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., vol. 26, pp. 631-640, 1955.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 631-640
    • Matusita, K.1
  • 20
    • 84941476533 scopus 로고
    • Neue Begründung der Theorie quadratisher Formen von unendlichvielen Veränderlichen
    • _, "Neue Begründung der Theorie quadratisher Formen von unendlichvielen Veränderlichen," J. für Reine und Angew. Math., vol. 36, pp. 210-271, 1909.
    • (1909) J. Für Reine und Angew. Math. , vol.36 , pp. 210-271
  • 21
  • 22
    • 84884023968 scopus 로고
    • L. de Branges, I. Gohberg, and J. Rovnyak, Eds., OT48. Basel, Switzerland: Birkhäuser
    • L. de Branges, I. Gohberg, and J. Rovnyak, Eds., Topics in Operator Theory: Ernst D. Hellinger Memorial Volume, OT48. Basel, Switzerland: Birkhäuser, 1990.
    • (1990) Topics in Operator Theory: Ernst D. Hellinger Memorial Volume
  • 23
    • 0001927585 scopus 로고
    • On information and sufficiency
    • S. Kullback and R. Leibler, "On information and sufficiency," Ann. Math. Statist., vol. 22, pp. 79-86, 1951.
    • (1951) Ann. Math. Statist. , vol.22 , pp. 79-86
    • Kullback, S.1    Leibler, R.2
  • 24
    • 35248867992 scopus 로고
    • Weitere Bemerkungen über einige Probleme der mechanishen Wärmetheorie
    • L. Boltzmann, "Weitere Bemerkungen über einige Probleme der mechanishen Wärmetheorie," Weiner Berichte, vol. 76, pp. 7-46. 1878.
    • (1878) Weiner Berichte , vol.76 , pp. 7-46
    • Boltzmann, L.1
  • 25
    • 33749744636 scopus 로고
    • Prediction and entropy
    • Univ. of Wisconsin Math. Research Center, June
    • H. Akaike, "Prediction and entropy," Univ. of Wisconsin Math. Research Center, Tech. Rep. Summary 2397, June 1982.
    • (1982) Tech. Rep. Summary , vol.2397
    • Akaike, H.1
  • 30
    • 0016428806 scopus 로고
    • Sharper lower bounds for discrimination information in terms of variation
    • G. Toussaint, "Sharper lower bounds for discrimination information in terms of variation," IEEE Trans. Inform. Theory, vol. IT-21, pp. 99-100, 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , pp. 99-100
    • Toussaint, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.