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On the convolution of normal and t random variables
Authors:Tibor K Pogány
Institution:Faculty of Maritime Studies , University of Rijeka , 51000 , Rijeka , Croatia
Abstract:The need for the convolution of normal and Student's t random variables arises in many areas. Since the 1930s, various authors have attempted to derive closed-form expressions for the probability density function (pdf) of the convolution, but with little success. Here, general closed-form expressions are derived for the pdf.
Keywords:convolution  normal distribution  Student's t distribution
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