Cross additivity - an application

• Autorzy: Sandra Saraiva Ferreira , Dário Ferreira , João Tiago Mexia
• Języki publikacji: EN

Abstrakty

EN

We try to show that Discriminant Analysis can be considered as a branch of Statistical Decision Theory when viewed from a Bayesian approach. First we present the necessary measure theory results, next we briefly outline the foundations of Bayesian Inference before developing Discriminant Analysis as an application of Bayesian Estimation. Our approach renders Discriminant Analysis more flexible since it gives the possibility of classing an element as belonging to a group of populations. This possibility arises from the introduction of the concept of regions of controled posterior risk.

Słowa kluczowe

EN

cross nested designs; cross additivity; variance components; UMVUE

Kategorie tematyczne

• 62K15: Factorial designs

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2006
• Tom: 26
• Numer: 2
• Strony: 207-219

Daty

wydano

2006

otrzymano

2006-10-15

Twórcy

autor

Sandra Saraiva Ferreira

• Department of Mathematics, University of Beira Interior, Covilhã 6200, Portugal

autor

Dário Ferreira

• Department of Mathematics, University of Beira Interior, Covilhã 6200, Portugal

autor

João Tiago Mexia

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

Bibliografia

• [1] M. Fonseca, J.T. Mexia and R. Zmyślony, Estimating and testing of variance components: an application to a grapevine experiment, Biometrical Letters 40 (1) (2003), 1-7.
• [2] J.T. Mexia, Introduction to Linear Statistical Inference, Center of Studies of Applied Mathematics, Lusófonas Editions - Lisboa 1995.
• [3] S.F. Saraiva, Inference for Orthogonal Models with Segregation, PhD Thesis, UBI - Covilhã 2006.

Identyfikatory

DOI

10.7151/dmps.1083