Model Selection in a Composite Likelihood Framework Based on Density Power Divergence
Elena Castilla,
Nirian Martín,
Leandro Pardo,
Konstantinos Zografos
Affiliations
Elena Castilla
Interdisciplinary Mathematics Institute and Department of Statistics and O.R. I, Complutense University of Madrid, 28040 Madrid, Spain
Nirian Martín
Interdisciplinary Mathematics Institute and Department of Financial and Actuarial Economics & Statistics, Complutense University of Madrid, 28003 Madrid, Spain
Leandro Pardo
Interdisciplinary Mathematics Institute and Department of Statistics and O.R. I, Complutense University of Madrid, 28040 Madrid, Spain
Konstantinos Zografos
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
This paper presents a model selection criterion in a composite likelihood framework based on density power divergence measures and in the composite minimum density power divergence estimators, which depends on an tuning parameter α . After introducing such a criterion, some asymptotic properties are established. We present a simulation study and two numerical examples in order to point out the robustness properties of the introduced model selection criterion.