RT info:eu-repo/semantics/preprint T1 Avoiding Spurious Local Maximizers in Mixture Modeling A1 García Escudero, Luis Ángel A1 Gordaliza Ramos, Alfonso A1 Matrán Bea, Carlos A1 Mayo Iscar, Agustín A2 Universidad de Valladolid K1 Statistics AB The maximum likelihood estimation in the finite mixture of distributions setting isan ill-posed problem that is treatable, in practice, through the EM algorithm. However,the existence of spurious solutions (singularities and non-interesting local maximizers)makes difficult to find sensible mixture fits for non-expert practitioners. In this work, aconstrained mixture fitting approach is presented with the aim of overcoming the troublesintroduced by spurious solutions. Sound mathematical support is provided and,which is more relevant in practice, a feasible algorithm is also given. This algorithmallows for monitoring solutions in terms of the constant involved in the restrictions,which yields a natural way to discard spurious solutions and a valuable tool for dataanalysts. YR 2014 FD 2014 LK http://uvadoc.uva.es/handle/10324/5966 UL http://uvadoc.uva.es/handle/10324/5966 LA spa NO Producción Científica NO Estadística e IO DS UVaDOC RD 12-jul-2024