Joint estimation for normal orthogonal mixed models

• Autorzy: Vera de Jesus , Sandra Saraiva Ferreira , João Tiago Mexia
• Języki publikacji: EN

Abstrakty

EN

Commutative Jordan algebras are used to express the structure of mixed orthogonal models and to derive complete sufficient statistics. From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first of single models then of several such models. These models may correspond to experiments designed separately so our results may be seen as a contribution to this meta-analysis.

Słowa kluczowe

EN

normal orthogonal mixed models; commutative Jordan algebras; meta-analysis

Kategorie tematyczne

• 62K15: Factorial designs

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2007
• Tom: 27
• Numer: 1-2
• Strony: 5-13

Daty

wydano

2007

otrzymano

2006-01-15

poprawiono

2007-01-09

Twórcy

autor

Vera de Jesus

• Department of Mathematics, Faculty of Science and Technology, New University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal

autor

Sandra Saraiva Ferreira

• Mathematics Department, Universidade da Beira Interior, 6201-001 Covilhã, Portugal

autor

João Tiago Mexia

• Department of Mathematics, Faculty of Science and Technology, New University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal

Bibliografia

• [1] M. Fonseca, J.T. Mexia and R. Zmyślony, Binary operations on Jordan algebras and orthogonal normal models, Linear Algebra and its Applications 417 (2006), 75-86.
• [2] D.A.S. Frazer, Nonparametric methods in statistics, Jonh Wiley & Sons - New York 1957.
• [3] S.S. Ferreira, Inference for orthogonal models with segregation, PhD Thesis, UBI - Covilhă 2006.
• [4] J. Seely, Quadratic subspaces and completeness, The Annals of Mathematical Statistics 42 (2) (1971), 710-721.
• [5] J. Seely, Minimal sufficient statistics and completeness for multivariate normal families, Sankhya 39 (1977), 170-185.

Identyfikatory

DOI

10.7151/dmps.1085