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Volumn 113, Issue 1, 2003, Pages 35-47

Existence of maximum likelihood estimates in normal variance-components models

Author keywords

Balanced classification model; Commutative covariance structure; Mixed linear model; Residual maximum likelihood estimate

Indexed keywords


EID: 0037387555     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(01)00302-0     Document Type: Article
Times cited : (6)

References (15)
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    • (2000)
    • Birkes, D.1    Wulff, S.S.2
  • 3
    • 0013030771 scopus 로고    scopus 로고
    • On the existence of the maximum likelihood estimate in variance components models
    • Demidenko, E., Massam, H., 1999. On the existence of the maximum likelihood estimate in variance components models. Sankhya Ser. A 61, 431-443.
    • (1999) Sankhya Ser. A , vol.61 , pp. 431-443
    • Demidenko, E.1    Massam, H.2
  • 4
    • 0012991711 scopus 로고
    • Direct products: A powerful tool for the analysis of balanced data
    • Khuri, A.I., 1982. Direct products: a powerful tool for the analysis of balanced data. Comm. Statist. Part A 11, 2903-2920.
    • (1982) Comm. Statist. , vol.11 , Issue.PART A , pp. 2903-2920
    • Khuri, A.I.1
  • 6
    • 0001065876 scopus 로고
    • Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance
    • Miller, J.J., 1977. Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance. Ann. Statist. 5, 746-762.
    • (1977) Ann. Statist. , vol.5 , pp. 746-762
    • Miller, J.J.1
  • 7
    • 0000563648 scopus 로고
    • On the existence of unbiased nonnegative estimates of variance covariance components
    • Pukelsheim, F., 1981. On the existence of unbiased nonnegative estimates of variance covariance components. Ann. Statist. 9, 293-299.
    • (1981) Ann. Statist. , vol.9 , pp. 293-299
    • Pukelsheim, F.1
  • 9
    • 38249015910 scopus 로고
    • Graphical methods for constructing data sets for which likelihood functions have multiple optima
    • Ross, G.J.S., 1992. Graphical methods for constructing data sets for which likelihood functions have multiple optima. J. Statist. Plann. Inference 30, 107-133.
    • (1992) J. Statist. Plann. Inference , vol.30 , pp. 107-133
    • Ross, G.J.S.1
  • 10
    • 0012987241 scopus 로고    scopus 로고
    • SAS Institute Inc., SAS/STAT Software: Changes and Enhancements through Release 6.11. SAS Institute Inc., Cary, NC
    • SAS Institute Inc., 1996. SAS/STAT Software: Changes and Enhancements through Release 6.11. SAS Institute Inc., Cary, NC.
    • (1996)
  • 11
    • 0002395496 scopus 로고
    • An alternative to Eisenhart's Model II and Mixed Model in the case of negative variance components
    • Smith, D.W., Murray, L.W., 1984. An alternative to Eisenhart's Model II and Mixed Model in the case of negative variance components. J. Amer. Statist. Assoc. 79, 145-151.
    • (1984) J. Amer. Statist. Assoc. , vol.79 , pp. 145-151
    • Smith, D.W.1    Murray, L.W.2
  • 12
    • 0000899174 scopus 로고
    • Explicit maximum likelihood estimates from balanced data in the mixed model of the analysis of variance
    • Szatrowski, T.H., Miller, J.J., 1980. Explicit maximum likelihood estimates from balanced data in the mixed model of the analysis of variance. Ann. Statist. 8, 811-819.
    • (1980) Ann. Statist. , vol.8 , pp. 811-819
    • Szatrowski, T.H.1    Miller, J.J.2
  • 15
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    • Balance and orthogonality in designs for mixed classification models
    • VanLeeuwen, D.M., Birkes, D.S., Seely, J.F., 1999. Balance and orthogonality in designs for mixed classification models. Ann. Statist. 27, 1927-1947.
    • (1999) Ann. Statist. , vol.27 , pp. 1927-1947
    • VanLeeuwen, D.M.1    Birkes, D.S.2    Seely, J.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.