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Jul 27, 2019 at 23:30 comment added Sextus Empiricus We had recently a question asking for a product of two variables that is normal distributed (I can not find it back). That question had a comment or answer relating to the Box-Muller transform which computes a normal distribution (or more precisely a bivariate normal distribution) from the product of two transformed uniform distributed variables. This answer relates a lot to that but takes the inverse of one of those variables in the Box-Muller transform. cc: @kjetilbhalvorsen
Jun 9, 2018 at 15:22 comment added guy @NeilG it is true; the product of my beta and exponential is a gamma with shape 1/2 (because of how you can build the beta and an independent gamma using gammas). Then the square root of that is half-normal using the fact that the square of a normal is chi-square.
Jun 9, 2018 at 4:02 comment added Neil G If this is true, this is awesome.
Jun 9, 2018 at 2:12 history answered guy CC BY-SA 4.0