论文信息 - Elliptical Functional Models

Elliptical Functional Models

In this paper, functional models with not replications are investigated within the class of the elliptical distributions. Emphasis is placed on the special case of the Student-t distribution. Main results encompasses consistency and asymptotic normality of the maximum likelihood estimators. Due to the presence of incidental parameters, standard maximum likelihood methodology cannot be used to obtain the main results, which require extensions of some existing results related to elliptical distributions. Asymptotic relative efficiencies are reported which show that the generalized least squares estimator can be highly inefficient when compared with the maximum likelihood estimator under nonnormality.

F. Vilca-Labra

[1] Peter M. Bentler,et al. Statistical Inference Based on Pseudo-Maximum Likelihood Estimators in Elliptical Populations , 1993 .

[2] C. A. J. Lieftnck-Koeijers. Multivariate calibration: a generalization of the classical estimator , 1988 .

[3] R. Arellano-Valle,et al. On some characterizations of the t-distribution , 1995 .

[4] W. Patefield,et al. On the Information Matrix in the Linear Functional Relationship Problem , 1977 .

[5] P. Sprent,et al. A Generalized Least‐Squares Approach to Linear Functional Relationships , 1966 .

[6] Tak K. Mak,et al. Estimation in the presence of incidental parameters , 1982 .

[7] Elliptical structural models , 1996 .

[8] C. Robert,et al. New Perspectives on Linear Calibration , 1994 .

[9] John W. Van Ness,et al. On the unreplicated ultrastructural model , 1991 .

[10] Gail Gong,et al. Pseudo Maximum Likelihood Estimation: Theory and Applications , 1981 .

[11] D. Kimura. Functional comparative calibration using an EM algorithm , 1992 .

[12] Leon Jay Gleser,et al. A note on G. R. Dolby's unreplicated ultrastructural model , 1985 .

[13] A. Satorra,et al. Measurement Error Models , 1988 .

[14] Heleno Bolfarine,et al. Ultrastructural elliptical models , 1996 .