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Composite Likelihood Methods Based on Minimum Density Power Divergence Estimator
Elena Castilla1, Nirian Martín2, Leandro Pardo1
1Department of Statistics and O.R. I, Complutense University of Madrid, 28040 Madrid, Spain.
Abstract:
In this paper, a robust version of the Wald test statistic for composite likelihood is considered by using the composite minimum density power divergence estimator instead of the composite maximum likelihood estimator. This new family of test statistics will be called Wald-type test statistics. The problem of testing a simple and a composite null hypothesis is considered, and the robustness is studied on the basis of a simulation study. The composite minimum density power divergence estimator is also introduced, and its asymptotic properties are studied.
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