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Volumn 63, Issue 2, 1997, Pages 147-155

A generalization of Poincaré's characterization of exponential families

Author keywords

Complete sufficient statistic; Cram r Rao bound; Exponential family; Maximum likelihood estimator

Indexed keywords


EID: 0031572648     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(95)00007-0     Document Type: Article
Times cited : (5)

References (17)
  • 2
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    • Bondesson, L.1
  • 3
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    • Characterizations of the Gamma distribution and related laws
    • Patil, G.P., Kotz, S., Ord, J.K. (Eds.)
    • Bondesson, L., 1975. Characterizations of the Gamma distribution and related laws. In: Patil, G.P., Kotz, S., Ord, J.K. (Eds.), Statistical Distributions in Scientific Work, vol. III, pp. 185-198.
    • (1975) Statistical Distributions in Scientific Work , vol.3 , pp. 185-198
    • Bondesson, L.1
  • 4
    • 0000862387 scopus 로고
    • Equivalence of Gauss's principle and minimum discrimination information estimation of probabilities
    • Campbell, L.L., 1970. Equivalence of Gauss's principle and minimum discrimination information estimation of probabilities. Ann. Math. Statist. 41, 1011-1015.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 1011-1015
    • Campbell, L.L.1
  • 5
    • 0000789717 scopus 로고
    • Location and scale parameter families in exponential families of distributions
    • Ferguson, T., 1962. Location and scale parameter families in exponential families of distributions. Ann. Math. Statist. 33, 986-1001.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 986-1001
    • Ferguson, T.1
  • 6
    • 0010926368 scopus 로고
    • Die Characterisierung der Normalverteilung nach Gauss
    • Findeisen, P., 1982. Die Characterisierung der Normalverteilung nach Gauss. Metrika 29, 55-63.
    • (1982) Metrika , vol.29 , pp. 55-63
    • Findeisen, P.1
  • 8
    • 0000998148 scopus 로고
    • On a characterization of the normal law based on a property of the sample average
    • Kagan, A.M., Linnik, Yu. V., Rao, C.R., 1965. On a characterization of the normal law based on a property of the sample average. Sankhyā Ser. A 27, 405-406.
    • (1965) Sankhyā Ser. A , vol.27 , pp. 405-406
    • Kagan, A.M.1    Linnik, Y.V.2    Rao, C.R.3
  • 12
    • 0000251057 scopus 로고
    • Über die "Ganzzahligkeit" der Atomgewichte und verwandte Fragen
    • von Mises, R., 1918. Über die "Ganzzahligkeit" der Atomgewichte und verwandte Fragen, Physikal, Z. 19, 490-500.
    • (1918) Physikal, Z. , vol.19 , pp. 490-500
    • Von Mises, R.1
  • 13
    • 0003603990 scopus 로고
    • (Deuxième Édition). Gauthier-Villars, Paris
    • Poincaré, H., 1912. Calcul des Probabilités. (Deuxième Édition). Gauthier-Villars, Paris.
    • (1912) Calcul des Probabilités
    • Poincaré, H.1
  • 14
    • 0001915002 scopus 로고
    • Information and the accuracy attainable in the estimation of statistical parameters
    • Rao, C.R., 1945. Information and the accuracy attainable in the estimation of statistical parameters. Bull. Cal. Math. Soc. 37, 81-91.
    • (1945) Bull. Cal. Math. Soc. , vol.37 , pp. 81-91
    • Rao, C.R.1
  • 17
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    • Maximum likelihood characterizations of distributions
    • Teicher, H., 1961. Maximum likelihood characterizations of distributions. Ann. Math. Statist. 32, 1214-1222.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 1214-1222
    • Teicher, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.