tag:blogger.com,1999:blog-6275903.post1543925837028787280..comments2023-09-18T02:28:50.436-07:00Comments on Nerdblog.com: Central-limit GaussiansMichaelhttp://www.blogger.com/profile/00058296587455402398noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-6275903.post-17838772834058229302008-10-22T06:33:00.000-07:002008-10-22T06:33:00.000-07:00One more thought that demonstrations a connection ...One more thought that demonstrations a connection between DSP and statistics I haven't seen made. <BR/><BR/>The probability density function resulting from the sum of two probability density functions is their convolution. With randx( ) having a uniform pdf, it's analogous to a box filter, and averaging N calls to rand( ) is the mathematical equivalent of convolving N box filters--e.g., approximating a Gaussian blur with multiple box filters.metameristhttps://www.blogger.com/profile/00226487967115279195noreply@blogger.comtag:blogger.com,1999:blog-6275903.post-72232104487716079642008-10-21T23:01:00.000-07:002008-10-21T23:01:00.000-07:00Neat idea. You might want to add a small constant,...Neat idea. You might want to add a small constant, just so the songs at the very tail end aren't completely ignored! (e.g. if you have 100 songs, in the current scheme the last song (at the 99th percentile) will only be played 0.0001% of the time.)Ben Weisshttps://www.blogger.com/profile/11717123765574037939noreply@blogger.comtag:blogger.com,1999:blog-6275903.post-15521555739296474472008-10-20T20:54:00.000-07:002008-10-20T20:54:00.000-07:00You're probably familiar with Box-Muller, but I'll...You're probably familiar with <A HREF="http://en.wikipedia.org/wiki/Box-Muller_transform" REL="nofollow">Box-Muller</A>, but I'll throw in a link nonetheless because it's also pretty cool.metameristhttps://www.blogger.com/profile/00226487967115279195noreply@blogger.com