This paper presents a robust method for dealing with switching regression problems. Regression models switch-points are broadly employed in diverse areas. Many traditional methods regressions can falter the presence of outliers or heavy-tailed distributions because modeling assumptions Gaussian errors. The outlier corruption datasets is often unavoidable. When misapplied, assumption lead to inc...

Flow cytometry scatter are ofen used in microbiology, and their measures are related to bacteria size and granularity. We present an application of the skew-Laplace distribution to flow cytometry data. The goodness of fit is evaluated both graphically and numerically. We also study skewness and kurtosis values to assess usefulness of the skew-Laplace distribution. MSC: 62F10, 62GP10

We introduce a novel multivariate Laplace (MVL) distribution as a sparsity promoting prior for Bayesian source localization that allows the specification of constraints between and within sources. We represent the MVL distribution as a scale mixture that induces a coupling between source variances instead of their means. Approximation of the posterior marginals using expectation propagation is ...