Likelihood and parametric heteroscedasticity in normal connected linear models
Joao Tiago Mexia ; Pedro Corte Real
Discussiones Mathematicae Probability and Statistics, Tome 20 (2000), p. 177-188 / Harvested from The Polish Digital Mathematics Library

A linear model in which the mean vector and covariance matrix depend on the same parameters is connected. Limit results for these models are presented. The characteristic function of the gradient of the score is obtained for normal connected models, thus, enabling the study of maximum likelihood estimators. A special case with diagonal covariance matrix is studied.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287719
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1010,
     author = {Joao Tiago Mexia and Pedro Corte Real},
     title = {Likelihood and parametric heteroscedasticity in normal connected linear models},
     journal = {Discussiones Mathematicae Probability and Statistics},
     volume = {20},
     year = {2000},
     pages = {177-188},
     zbl = {0970.62012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1010}
}
Joao Tiago Mexia; Pedro Corte Real. Likelihood and parametric heteroscedasticity in normal connected linear models. Discussiones Mathematicae Probability and Statistics, Tome 20 (2000) pp. 177-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1010/

[000] [1] T. Amemiya, Advanced Econometrics, Harvard University Press, Harvard 1985.

[001] [2] E.R. Berndt B.H. Hall and J.A. Hausman, Estimation and Inferencein Nonlinear Structural Models, Annals of Economic and Social Measurement 3 (1974), 653-666.

[002] [3] W.C. Davidson, Variable Metric Methods for Minimization, Atomic Energy Commision, Research Development Report ANL-5990, Washington, D.C. 1959.

[003] [4] S.M. Goldfeld, R.E. Quandt and H.F. Trotter, Maximization by Quadratic Hill-Climbing, Econometrica 34 (1966), 541-551.

[004] [5] S.M. Goldfeld and R.E. Quandt, Nonlinear Methods in Econometrics,North-Holland Publishing, Amsterdam 1972. | Zbl 0231.62114

[005] [6] R.I. Jennrich, Asymptotic Properties of Non-Linear Least-Squares Estimators, The Annals of Mathematical Statistics 40 (1969), 633-643. | Zbl 0193.47201

[006] [7] J.D. Jobson and W.A. Fuller, Least Squares Estimation When the Covariance Matrix and Parameter Vector Are Functionally Related, Journal of the American Statistical Association 75 (1980), 176-181. | Zbl 0437.62064

[007] [8] J.L. Kelley, General Topology, Princeton, New Jersey 1961. | Zbl 0157.53002

[008] [9] J.T. Mexia, Linear Models with Partially Controlled Heteroscedasticity, Trabalhos de Investigaçao 2. Departamento de Matemática - Faculdade de Ciencias e Tecnologia/Universidade Nova de Lisboa 1993. | Zbl 0806.62054

[009] [10] R.L. Plackett, Principles of Regression Analysis, Oxford University Press, Oxford 1960. | Zbl 0091.31301

[010] [11] S.J. Prais and H.S. Houthakker, The Analysis of Family Budgets, Cambridge University Press, Cambridge 1955.

[011] [12] C.R. Rao, Linear Statistical Inference and Its Applications (Second Edition), John Wiley & Sons 1973. | Zbl 0256.62002