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Volumn 104, Issue 1-2, 2001, Pages 145-165

Entropy and random vectors

Author keywords

Entropy; Fisher information; Normal convergence

Indexed keywords


EID: 0035535142     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010353526846     Document Type: Article
Times cited : (15)

References (13)
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  • 2
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    • A proof of the central limit theorem motivated by the Cramer-Rao inequality
    • G. Kallianpur, P. R. Krishnaiah, and J. K. Ghosh, eds., North-Holland, New York
    • L. D. Brown, A proof of the Central Limit Theorem motivated by the Cramer-Rao inequality, in Statistics and Probability: Essays in Honour of C. R. Rao, G. Kallianpur, P. R. Krishnaiah, and J. K. Ghosh, eds., pp. 141-148 (North-Holland, New York, 1982).
    • (1982) Statistics and Probability: Essays in Honour of C. R. Rao , pp. 141-148
    • Brown, L.D.1
  • 3
    • 0000860574 scopus 로고
    • Entropy production by block variable summation and central limit theorems
    • E. A. Carlen and A. Soffer, Entropy production by block variable summation and Central Limit Theorems, Comm. Math. Phys. 140:339-371 (1991).
    • (1991) Comm. Math. Phys. , vol.140 , pp. 339-371
    • Carlen, E.A.1    Soffer, A.2
  • 4
    • 36449000218 scopus 로고
    • Phase-space dynamics and Hermite polynomials of two variables and two indices
    • G. Dattoli, S. Lorenzutta, G. Maino, and A. Torre, Phase-space dynamics and Hermite polynomials of two variables and two indices, J. Math. Phys. 35:4451-4462 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 4451-4462
    • Dattoli, G.1    Lorenzutta, S.2    Maino, G.3    Torre, A.4
  • 5
    • 0002871418 scopus 로고
    • Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics
    • R. L. Dobrushin and S. B. Shlosman, Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics, Comm. Math. Phys. 42:31-40 (1975).
    • (1975) Comm. Math. Phys. , vol.42 , pp. 31-40
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 6
    • 0000126106 scopus 로고    scopus 로고
    • Entropy inequalities and the central limit theorem
    • O. T. Johnson, Entropy inequalities and the Central Limit Theorem, Stochastic Process. Appl. 88:291-304 (2000).
    • (2000) Stochastic Process. Appl. , vol.88 , pp. 291-304
    • Johnson, O.T.1
  • 7
    • 0034558657 scopus 로고    scopus 로고
    • Entropy and convergence on compact groups
    • O. T. Johnson and Yu. M. Suhov, Entropy and convergence on compact groups, J. Theor. Prob. 13:843-857 (2000).
    • (2000) J. Theor. Prob. , vol.13 , pp. 843-857
    • Johnson, O.T.1    Suhov, Y.M.2
  • 9
  • 10
    • 0000291871 scopus 로고
    • An information-theoretic proof of the central limit theorem with the Lindeberg condition
    • Yu. V. Linnik, An information-theoretic proof of the Central Limit Theorem with the Lindeberg Condition, Theor. Prob. Appl. 4:288-299 (1959).
    • (1959) Theor. Prob. Appl. , vol.4 , pp. 288-299
    • Linnik, Y.V.1
  • 11
    • 85011917546 scopus 로고
    • On certain connections between the information measures of Shannon and Fisher and the summation of random vectors
    • Czechoslovak Academy of Sciences. In Russian
    • Yu. V. Linnik, On certain connections between the information measures of Shannon and Fisher and the summation of random vectors, in Transactions of the 2nd Prague Conference (Czechoslovak Academy of Sciences, 1960). In Russian.
    • (1960) Transactions of the 2nd Prague Conference
    • Linnik, Y.V.1
  • 12
    • 0007042710 scopus 로고
    • Absence of long-range order for a class of two-dimensional systems
    • Proc. Third Internat. Colloq., Centre Phys. Théor., Marseille, Centre Nat. Recherche Sci., Centre Phys. Théor., Marseille (1974)
    • M. Romerio and P.-A. Vuillermot, Absence of long-range order for a class of two-dimensional systems, in Group Theoretical Methods in Physics (Proc. Third Internat. Colloq., Centre Phys. Théor., Marseille, 1974), Vol. 1, pp. 153-159. Centre Nat. Recherche Sci., Centre Phys. Théor., Marseille (1974).
    • (1974) Group Theoretical Methods in Physics , vol.1 , pp. 153-159
    • Romerio, M.1    Vuillermot, P.-A.2
  • 13
    • 0004073954 scopus 로고
    • American Mathematical Society, New York, revised edition
    • G. Szego, Orthogonal Polynomials (American Mathematical Society, New York, 1958), revised edition.
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    • Szego, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.