Validation of likelihood ratio methods for forensic evidence evaluation handling multimodal score distributions
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Gaussian mixture models (GMMs) are a popular tool for density estimation. However, these models are limited by the fact that they either impose strong constraints on the covariance matrices of the component densities or no constraints at all. This paper pr ...
We solve analytically the Fokker-Planck equation for a one-parameter family of symmetric, attractive, nonharmonic potentials which include double-well situations. The exact knowledge of the eigenfunctions and eigenvalues allows us to fully discuss the tran ...
Exact results are obtained for a large class of non-linear stochastic processes with constant diffusion. Special attention is given to the intrinsic effects induced by the non-linearities. In particular, a boomerang type behaviour of the mean path and time ...
Exact solutions of the Fokker-Planck equation are obtained for a class of non-harmonic, symmetric, attractive, 1-d potentials, and when the initial probability density is chosen "delta" peaked on the axis of symmetry of the potential. Double-well potential ...
