Talk:Normal distribution

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Date	Process	Result
February 18, 2008	Peer review	Reviewed

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The Walsh Hadamard transform and the Normal Distribution[edit]

I eventually found this paper on using the Walsh Hadamard transform: ^[1] Wallace, C. S. 1996. "Fast Pseudorandom Generators for Normal and Exponential Variates." ACM Transactions on Mathematical Software.

I independently discovered the idea myself around 2001. I further showed that by combining the Walsh Hadamard transform with random permutations you can convert arbitrary numerical data into the Gaussian distribution. I am not sure if anyone has any prior claim to that. I have used it to create associative memory algorithms and as a population based method for generating random numbers for Evolutionary Strategies (ES) based algorithms. I am sure it would have other uses. A useful reference is [1] I am pretty sure NVidia got the idea from me (because I sent them an e-mail about it). They did however find the reference to Wallace which I could not find. Maybe you can still find some of my code on the forum of www.freebasic.net but a lot of it is gone from the Internet because no gain. Sean O'Connor

References

^ Wallace, C.S. (1996). ACM Transactions on Mathematical Software: Fast Pseudorandom Generators for Normal and Exponential Variates. {{cite journal}}: Missing or empty |title= (help)

India Education Program course assignment[edit]

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The above message was substituted from {{IEP assignment}} by PrimeBOT (talk) on 19:53, 1 February 2023 (UTC)[reply]

xo notation in Taylor Series sections[edit]

The statement says "... about any known value of the distribution, $\Phi (xo)$ ." Should $xo$ be $x_{0}$ ? Asyasylin (talk) 16:48, 17 April 2023 (UTC)[reply]

I think that that was supposed to be the case. This section also needs sources for verification. DekuNut64 (talk) 16:24, 22 April 2023 (UTC)[reply]

Page formatting issue on mobile[edit]

In portrait mode on mobile browsers, the equation for the general form of the probability density function in the article summary appears below the infobox, meaning that the first paragraph on the page appears to abruptly end at "The general form of its probability density function is", which had me confused until I scrolled down past the infobox. It might be a good idea to rearrange/reorder things such that the aforementioned 'incomplete' sentence and the equation that completes it would stay together, whether that means moving them both above the infobox, or below it. TheWizardG (talk) 07:57, 22 April 2023 (UTC)[reply]

Needs to be simplified[edit]

Greetings Wikipedians! I salute the editors for all their work on this article. The effort must have been considerable, given the level of detail included here. But it seems to be written for math or engineering students, rather than for the average reader. It would benefit if someone would add a simple explanation that a layman can understand. The best place for that would be early in the article, prior to all those equations. I'll volunteer to correct that. As always, comments are welcome. Cordially, BuzzWeiser196 (talk) 15:50, 28 January 2024 (UTC)[reply]

[1] Wallace, C.S. (1996). ACM Transactions on Mathematical Software: Fast Pseudorandom Generators for Normal and Exponential Variates. {{cite journal}}: Missing or empty |title= (help)

[1]