Felgueiras, Miguel MartinsMartins, João PauloSantos, Rui FilipeEuropean Society of Computational Methods in Sciences and Engineering (ESCMSE)2025-10-202025-10-202017-02Felgueiras, Miguel & Martins, J.P. & Santos, Rui. (2017). Gaussian scale mixtures. 11. 1-101790–8140http://hdl.handle.net/10400.8/14321In this paper we present a parsimonious approximation of a Gaussian mixture when its components share a common mean value, i.e. a scale mixture. We show that a shifted and scaled Student’s t -distribution can be approximated to this type of mixture, and use the result to develop a hypothesis test for the equality of the components mean value. A simulation study to check the quality of the approximation is also provided, together with an application to logarithmic daily returns.engGaussian scale mixtureStudent’s t -distributionLog-returnsSimulationresearch article