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I have added a split template on the basis that the present article, with its "proof" section, is no longer a simple list. The lead could be kept, possibly in both articles in their initial versions.
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Please can a section be added to describe common distributions that are *not* known to have an analytic form under convolution, for example the convolution of two beta functions.
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Extrapolating from the
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I have done this, given no one disliking the idea. See
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