Finite mixture of compositional regression with gaussian errors

In this paper, we consider to evaluate the efficiency of volleyball players according to the performance of attack, block and serve, but considering the compositional structure of the data related to the fundaments. The finite mixture of regression models better fitted the data in comparison with th...

Full description

Autores:
Shimizu, Taciana
Louzada, Francisco
Suzuki, Adriano
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66492
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66492
http://bdigital.unal.edu.co/67520/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
algoritmo EM
Datos Composicionales
mixtura finita
Compositional Data
Finite Mixture Regression
EM Algorithm
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this paper, we consider to evaluate the efficiency of volleyball players according to the performance of attack, block and serve, but considering the compositional structure of the data related to the fundaments. The finite mixture of regression models better fitted the data in comparison with the usual regression model. The maximum likelihood estimates are obtained via an EM algorithm. A simulation study revels that the estimates are closer to the real values, the estimators are asymptotically unbiased for the parameters. A real Brazilian volleyball dataset related to the efficiency of the players is considered for the analysis.