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Volumn 79, Issue 2, 2009, Pages 270-274

Complete monotonicity of the entropy in the central limit theorem for gamma and inverse Gaussian distributions

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EID: 57149144664     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2008.08.008     Document Type: Article
Times cited : (5)

References (9)
  • 1
    • 0004245694 scopus 로고
    • Abramowitz M., and Stegun I.A. (Eds), Dover, New York
    • In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1964), Dover, New York
    • (1964) Handbook of Mathematical Functions
  • 2
    • 10044228109 scopus 로고    scopus 로고
    • Solution of Shannon's problem on the monotonicity of entropy
    • Artstein S., Ball K.M., Barthe F., and Naor A. Solution of Shannon's problem on the monotonicity of entropy. J. Amer. Math. Soc. 17 (2004) 975-982
    • (2004) J. Amer. Math. Soc. , vol.17 , pp. 975-982
    • Artstein, S.1    Ball, K.M.2    Barthe, F.3    Naor, A.4
  • 3
    • 0000061719 scopus 로고
    • Entropy and the central limit theorem
    • Barron A.R. Entropy and the central limit theorem. Ann. Probab. 14 (1986) 336-342
    • (1986) Ann. Probab. , vol.14 , pp. 336-342
    • Barron, A.R.1
  • 4
    • 84938171492 scopus 로고
    • The convolution inequality for entropy powers
    • Blachman N.M. The convolution inequality for entropy powers. IEEE Trans. Inform. Theory 11 (1965) 267-271
    • (1965) IEEE Trans. Inform. Theory , vol.11 , pp. 267-271
    • Blachman, N.M.1
  • 7
    • 34447344072 scopus 로고    scopus 로고
    • Generalized entropy power inequalities and monotonicity properties of information
    • Madiman M., and Barron A.R. Generalized entropy power inequalities and monotonicity properties of information. IEEE Trans. Inform. Theory 53 (2007) 2317-2329
    • (2007) IEEE Trans. Inform. Theory , vol.53 , pp. 2317-2329
    • Madiman, M.1    Barron, A.R.2
  • 9
    • 12944295719 scopus 로고
    • Some inequalities satisfied by the quantities of information of Fisher and Shannon
    • Stam A.J. Some inequalities satisfied by the quantities of information of Fisher and Shannon. Inform. Control 2 (1959) 101-112
    • (1959) Inform. Control , vol.2 , pp. 101-112
    • Stam, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.