Castilla González, Elena MaríaMartín, NirianPardo Llorente, LeandroZografos, Konstantinos2023-06-172023-06-1720171099-430010.3390/e20010018https://hdl.handle.net/20.500.14352/19117In 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.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.3390/e20010018https://www.mdpi.com/1099-4300/20/1/18open access519.21composite likelihoodmaximum composite likelihood estimatorWald test statisticcomposite minimum density power divergence estimatorWald-type test statisticsProbabilidadesPrueba de WaldMatemáticas (Matemáticas)Estadística matemática (Matemáticas)Probabilidades (Matemáticas)12 Matemáticas1209 Estadística