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Volumn 45, Issue 2, 2009, Pages 75-94

On convergence properties of Shannon entropy

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDEDNESS CONDITIONS; CONVERGENCE IN DISTRIBUTION; CONVERGENCE PROPERTIES; DIFFERENTIAL ENTROPY; DIFFERENTIAL SETTING; GENERAL SUPPORTS; PROBABILITY MEASURES; SHANNON ENTROPY; WEAK CONVERGENCE;

EID: 67749142407     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S003294600902001X     Document Type: Article
Times cited : (29)

References (17)
  • 1
    • 0035539882 scopus 로고    scopus 로고
    • Convergence Properties of Functional Estimates of Discrete Distributions
    • Antos, A. and Kontoyiannis, I., Convergence Properties of Functional Estimates of Discrete Distributions, Random Structures Algorithms, 2001, vol. 19, no. 3-4, pp. 163-193.
    • (2001) Random Structures Algorithms , vol.19 , Issue.3-4 , pp. 163-193
    • Antos, A.1    Kontoyiannis, I.2
  • 2
    • 0002944464 scopus 로고
    • On the Estimation of Entropy
    • Hall, P. and Morton, S.C., On the Estimation of Entropy, Ann. Inst. Statist. Math., 1993, vol. 45, no. 1, pp. 69-88.
    • (1993) Ann. Inst. Statist. Math. , vol.45 , Issue.1 , pp. 69-88
    • Hall, P.1    Morton, S.C.2
  • 8
    • 0000061719 scopus 로고
    • Entropy and the Central Limit Theorem
    • Barron, A.R., Entropy and the Central Limit Theorem, Ann. Probab., 1986, vol. 14, no. 1, pp. 336-342.
    • (1986) Ann. Probab. , vol.14 , Issue.1 , pp. 336-342
    • Barron, A.R.1
  • 9
    • 0000039074 scopus 로고
    • The Strong Ergodic Theorem for Densities: Generalized Shannon-McMillan-Breiman Theorem
    • Barron, A.R., The Strong Ergodic Theorem for Densities: Generalized Shannon-McMillan-Breiman Theorem, Ann. Probab., 1985, vol. 13, no. 4, pp. 1292-1303.
    • (1985) Ann. Probab. , vol.13 , Issue.4 , pp. 1292-1303
    • Barron, A.R.1
  • 10
    • 33947693340 scopus 로고    scopus 로고
    • Information Topologies with Applications
    • I., Katona, G.O.H., Tardos, G., Eds., Bolyai Soc. Math. Stud. Berlin: Springer
    • Harremoës, P., Information Topologies with Applications, Entropy, Search, Complexity, Csiszár, I., Katona, G.O.H., Tardos, G., Eds., Bolyai Soc. Math. Stud., vol. 16, Berlin: Springer, 2007, pp. 113-150.
    • (2007) Entropy, Search, Complexity, Csiszár , vol.16 , pp. 113-150
    • Harremoës, P.1
  • 11
    • 0040356906 scopus 로고
    • Passage to the Limit under the Information and Entropy Signs
    • [Theory Probab. Appl. (Engl. Transl.), 1960, vol. 5, no. 1, pp. 25-32]
    • Dobrushin, R.L., Passage to the Limit under the Information and Entropy Signs, Teor. Veroyatnost. i Primenen., 1960, vol. 5, no. 1, pp. 29-37 [Theory Probab. Appl. (Engl. Transl.), 1960, vol. 5, no. 1, pp. 25-32].
    • (1960) Teor. Veroyatnost. I Primenen , vol.5 , Issue.1 , pp. 29-37
    • Dobrushin, R.L.1
  • 15
    • 27244443316 scopus 로고
    • Moscow: Nauka 2nd ed. Translated under the title Probability, New York: Springer, 1996
    • Shiryaev, A.N., Veroyatnost', Moscow: Nauka, 1989, 2nd ed. Translated under the title Probability, New York: Springer, 1996.
    • (1989) Veroyatnost'
    • Shiryaev, A.N.1
  • 16
    • 0003655416 scopus 로고
    • New York: Macmillan 3rd ed
    • Royden, H.L., Real Analysis, New York: Macmillan, 1988, 3rd ed.
    • (1988) Real Analysis
    • Royden, H.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.