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Volumn 17, Issue 4, 2007, Pages 1343-1354

Counting and locating the solutions of polynomial systems of maximum likelihood equations, II: The Behrens-fisher problem

Author keywords

B zout's theorem; Behrens fisher problem; Maximum likelihood degree; Maximum likelihood estimation

Indexed keywords


EID: 38549130370     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (19)
  • 2
    • 0000428487 scopus 로고
    • Ein Beitrag zur Fehlerberechnung bei wenigen Beobachtungen.
    • Behrens, W. U. (1929). Ein Beitrag zur Fehlerberechnung bei wenigen Beobachtungen. Landwirtschaftliche Jahrbücher 68, 807-837.
    • (1929) Landwirtschaftliche Jahrbücher , vol.68 , pp. 807-837
    • Behrens, W.U.1
  • 3
    • 29744466093 scopus 로고    scopus 로고
    • Counting and locating the solutions of polynomial systems of maximum likelihood equations, I
    • Buot, M.-L. G. and Richards, D. St. P. (2006). Counting and locating the solutions of polynomial systems of maximum likelihood equations, I. J. Symbolic Comput. 41, 234-244.
    • (2006) J. Symbolic Comput , vol.41 , pp. 234-244
    • Buot, M.-L.G.1    Richards, D.S.P.2
  • 7
    • 33745306526 scopus 로고    scopus 로고
    • Maximum likelihood estimation in Gaussian chain graph models under the alternative Markov property
    • Drton, M. and Eichler, M. (2006). Maximum likelihood estimation in Gaussian chain graph models under the alternative Markov property. Scand. J. Statist. 33, 247-257.
    • (2006) Scand. J. Statist , vol.33 , pp. 247-257
    • Drton, M.1    Eichler, M.2
  • 8
    • 24944558941 scopus 로고    scopus 로고
    • Multimodality of the likelihood in the bivariate seemingly unrelated regressions model
    • Drton, M. and Richardson, T. (2004). Multimodality of the likelihood in the bivariate seemingly unrelated regressions model. Biometrika 91, 383-392.
    • (2004) Biometrika , vol.91 , pp. 383-392
    • Drton, M.1    Richardson, T.2
  • 9
    • 0001622106 scopus 로고
    • The comparison of samples with possibly unequal variances
    • Fisher, R. A. (1939). The comparison of samples with possibly unequal variances. Ann. Eugen. 9, 174-180.
    • (1939) Ann. Eugen , vol.9 , pp. 174-180
    • Fisher, R.A.1
  • 12
    • 38549096709 scopus 로고
    • On the elimination of nuisance parameters in statistical problems
    • Statistics, Univ. California Press, Berkeley, CA
    • Linnik, Yu. V. (1967). On the elimination of nuisance parameters in statistical problems. Proc. Fifth Berkeley Sympos. Math. Statist, and Probability, Vol. I: Statistics, 267-280. Univ. California Press, Berkeley, CA.
    • (1967) Proc. Fifth Berkeley Sympos. Math. Statist, and Probability , vol.1 , pp. 267-280
    • Linnik, Y.V.1
  • 16
    • 24944518166 scopus 로고
    • Maximum likelihood estimates for the Behrens-Fisher problem
    • Sugiura, N. and Gupta, A. K. (1987). Maximum likelihood estimates for the Behrens-Fisher problem. J. Japan Statist. Soc. 17, 55-60.
    • (1987) J. Japan Statist. Soc , vol.17 , pp. 55-60
    • Sugiura, N.1    Gupta, A.K.2
  • 17
    • 0004073954 scopus 로고
    • American Mathematical Society, New York, NY
    • Szegö, G. (1939). Orthogonal Polynomials. American Mathematical Society, New York, NY.
    • (1939) Orthogonal Polynomials
    • Szegö, G.1
  • 18
    • 0001656792 scopus 로고    scopus 로고
    • Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation
    • Verschelde, J. (1999). Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Software 25, 251-276.
    • (1999) ACM Trans. Math. Software , vol.25 , pp. 251-276
    • Verschelde, J.1
  • 19
    • 0039568526 scopus 로고
    • The Behrens-Fisher and Fieller-Creasy problems
    • An Appreciation, Edited by R. A. Fisher, Springer, New York
    • Wallace, D. L. (1980). The Behrens-Fisher and Fieller-Creasy problems. In An Appreciation, (Edited by R. A. Fisher), 119-147. Lecture Notes in Statist. 1, Springer, New York.
    • (1980) Lecture Notes in Statist , vol.1 , pp. 119-147
    • Wallace, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.