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Volumn 13, Issue 1, 2007, Pages 169-174

On Gauss's characterization of the normal distribution

Author keywords

Cauchy functional equation; Characterization property; Location family; Maximum likelihood; Normal distribution; Sample mean vector

Indexed keywords


EID: 38149016755     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ5166     Document Type: Article
Times cited : (18)

References (10)
  • 3
    • 47249102295 scopus 로고    scopus 로고
    • Gauss, C.F. (1809) Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes et Besser. English translation by C.H. Davis, reprinted by Dover, New York (1963).
    • Gauss, C.F. (1809) Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes et Besser. English translation by C.H. Davis, reprinted by Dover, New York (1963).
  • 6
    • 0345759564 scopus 로고    scopus 로고
    • On the characterization of maximum likelihood estimators for location-scale families
    • Hürlimann, W. (1998) On the characterization of maximum likelihood estimators for location-scale families. Comm. Statist. Theory Methods, 27, 495-508.
    • (1998) Comm. Statist. Theory Methods , vol.27 , pp. 495-508
    • Hürlimann, W.1
  • 7
    • 47249139315 scopus 로고
    • Maximum likelihood characterizations of distributions
    • Marshall, A.W. and Olkin, I. (1993) Maximum likelihood characterizations of distributions. Statist. Sinica, 3, 157-171.
    • (1993) Statist. Sinica , vol.3 , pp. 157-171
    • Marshall, A.W.1    Olkin, I.2
  • 9
    • 43949165900 scopus 로고
    • ML characterization of the multivariate normal distribution
    • Stadje, W. (1993) ML characterization of the multivariate normal distribution. J. Multivariate Anal., 46, 131-138.
    • (1993) J. Multivariate Anal , vol.46 , pp. 131-138
    • Stadje, W.1
  • 10
    • 0010872735 scopus 로고
    • Maximum likelihood characterization of distributions
    • Teicher, H. (1961) Maximum likelihood characterization 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.