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Volumn 166, Issue 1-4, 2004, Pages 105-125

Relative information of type s, Csiszár's f -divergence, and information inequalities

Author keywords

2 divergence; Csisz r's f divergence; Hellinger's discrimination; Information inequalities; Relative information; Relative information of type s

Indexed keywords

GRAPH THEORY; PARAMETER ESTIMATION; PROBABILITY; PROBLEM SOLVING; QUALITY CONTROL; TREES (MATHEMATICS);

EID: 4944260835     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2003.11.002     Document Type: Article
Times cited : (53)

References (22)
  • 1
    • 0002124539 scopus 로고
    • Some analogues to the amount of information and their uses in statistical estimation
    • Bhattacharyya A. Some analogues to the amount of information and their uses in statistical estimation. Sankhya. 8:1946;1-14.
    • (1946) Sankhya , vol.8 , pp. 1-14
    • Bhattacharyya, A.1
  • 3
    • 0000489740 scopus 로고
    • Information type measures of differences of probability distribution and indirect observations
    • Csiszár I. Information type measures of differences of probability distribution and indirect observations. Studia Math. Hungarica. 2:1967;299-318.
    • (1967) Studia Math. Hungarica , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 7
    • 14044264048 scopus 로고    scopus 로고
    • Some inequalities for (m,M) -convex mappings and applications for the Csiszár Φ -divergence in information theory
    • S.S. Dragomir, Some inequalities for (m,M) -convex mappings and applications for the Csiszár Φ -divergence in information theory, Inequalities for Csiszár f -Divergence in Information Theory. Available from < http://rgmia.vu.edu.au/monographs/csiszar.htm >.
    • Inequalities for Csiszár f -Divergence in Information Theory
    • Dragomir, S.S.1
  • 8
    • 24144468250 scopus 로고    scopus 로고
    • Upper and lower bounds for Csiszár f -divergence in terms of the Kullback-Leibler distance and applications
    • S.S. Dragomir, Upper and lower bounds for Csiszár f -divergence in terms of the Kullback-Leibler distance and applications, Inequalities for Csiszár f -Divergence in Information Theory. Available from < http://rgmia.vu.edu.au/monographs/csiszar.htm >.
    • Inequalities for Csiszár f -Divergence in Information Theory
    • Dragomir, S.S.1
  • 9
    • 24144468250 scopus 로고    scopus 로고
    • Upper and lower bounds for Csiszár f -divergence in terms of Hellinger discrimination and applications
    • S.S. Dragomir, Upper and lower bounds for Csiszár f -divergence in terms of Hellinger discrimination and applications, Inequalities for Csiszár f -Divergence in Information Theory. Available from < http://rgmia.vu.edu.au/monographs/csiszar.htm >.
    • Inequalities for Csiszár f -Divergence in Information Theory
    • Dragomir, S.S.1
  • 10
    • 84941476533 scopus 로고
    • Neue Begründung der Theorie der quadratischen Formen von unendlichen vielen Veränderlichen
    • Hellinger E. Neue Begründung der Theorie der quadratischen Formen von unendlichen vielen Veränderlichen. J. Reine Aug. Math. 136:1909;210-271.
    • (1909) J. Reine Aug. Math. , vol.136 , pp. 210-271
    • Hellinger, E.1
  • 11
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • Jeffreys H. An invariant form for the prior probability in estimation problems. Proc. Roy. Soc. Lond., Ser. A. 186:1946;453-461.
    • (1946) Proc. Roy. Soc. Lond., Ser. A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 14
    • 0001454867 scopus 로고
    • On the Criterion that a given system of deviations from the probable in the case of correlated system of variables is such that it can be reasonable supposed to have arisen from random sampling
    • Pearson K. On the Criterion that a given system of deviations from the probable in the case of correlated system of variables is such that it can be reasonable supposed to have arisen from random sampling. Philos. Mag. 50:1900;157-172.
    • (1900) Philos. Mag. , vol.50 , pp. 157-172
    • Pearson, K.1
  • 16
    • 0002408684 scopus 로고
    • On measures of entropy and information
    • University of California Press
    • Rényi A. On measures of entropy and information. Proc. 4th Berk. Symp. Math. Stat. Probl. vol. 1:1961;547-561 University of California Press.
    • (1961) Proc. 4th Berk. Symp. Math. Stat. Probl. , vol.1 , pp. 547-561
    • Rényi, A.1
  • 17
    • 4944253215 scopus 로고
    • Relative information function and their type (α,β) generalizations
    • Sharma B.D., Autar R. Relative information function and their type. (α,β) generalizations Metrika. 21:1974;41-50.
    • (1974) Metrika , vol.21 , pp. 41-50
    • Sharma, B.D.1    Autar, R.2
  • 18
    • 4944256054 scopus 로고
    • Some contributions to information Theory - I (a survey: On measures of information)
    • Taneja I.J. Some contributions to information Theory - I (a survey: on measures of information). J. Comb. Inf. Syst. Sci. (India). 4:1979;253-274.
    • (1979) J. Comb. Inf. Syst. Sci. (India) , vol.4 , pp. 253-274
    • Taneja, I.J.1
  • 19
    • 0001598644 scopus 로고
    • On generalized information measures and their applications
    • Hawkes P.W. USA: Academic Press
    • Taneja I.J. On generalized information measures and their applications. Hawkes P.W. Advances in Electronics and Electron Physics. 76:1989;327-413 Academic Press, USA.
    • (1989) Advances in Electronics and Electron Physics , vol.76 , pp. 327-413
    • Taneja, I.J.1
  • 20
    • 0007736395 scopus 로고
    • New developments in generalized information measures
    • Hawkes P.W.
    • Taneja I.J. New developments in generalized information measures. Hawkes P.W. Advances in Imaging and Electron Physics. 91:1995;37-135.
    • (1995) Advances in Imaging and Electron Physics , vol.91 , pp. 37-135
    • Taneja, I.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.