Skew Laplace Finite Mixture modelling

ýThis paper presents a new mixture model via considering the univariate skew Laplace distributioný. ýThe new model can handle both heavy tails and skewness and is multimodalý. ýDescribing some properties of the proposed modelý, ýwe present a feasible EM algorithm for iterativelyý ýcomputing maximum likelihood estimatesý. ýWe also derive the observed information matrix for obtainingý ýthe asymptotic standard error of parameter estimatesý. ýThe finite sample properties of the obtained estimatorsý ýas ýwell ýasý the consistency of the associated standard error of parameter estimates are investigated by aý ýsimulation studyý. ýWe also demonstrate the flexibility and usefulness of the new model by analyzing real dataý ýexampleý.