File:Central limit thm 1.png
Central_limit_thm_1.png (640 × 480 pixels, file size: 4 KB, MIME type: image/png)
Captions
Transferred from en.wikipedia to Commons by Maksim.
illustration of central limit theorem, part 1
I created these images: Image:Central_limit_thm_1.png, Image:Central_limit_thm_2.png, Image:Central_limit_thm_3.png, Image:Central_limit_thm_4.png. I license these images under the GFDL:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
Here are the GNU Octave commands to create these images:
dx = 0.002; x1 = (1:1000)*dx; p1 = [1:2:1000, 500*ones(1, 500)]; p1 = p1 / (sum(p1)*dx); m = sum (x1.*p1)*dx; x1 = x1 - m; s = sqrt (sum ((x1.^2).*p1)*dx); dx1 = dx/s; x1 = x1/s; p1 = p1*s; p2 = conv (p1, p1) * dx1; nx1 = length(x1); x2 = [x1+min(x1) x1(2:nx1)+max(x1)]; p3 = conv (p2, p1) * dx1; x3 = [x2+min(x1) x1(2:nx1)+max(x2)]; p4 = conv (p3, p1) * dx1; x4 = [x3+min(x1) x1(2:nx1)+max(x3)]; p2 = p2 * sqrt(2); x2 = x2 / sqrt(2); dx2 = dx1 / sqrt(2); p3 = p3 * sqrt(3); x3 = x3 / sqrt(3); dx3 = dx1 / sqrt(3); p4 = p4 * sqrt(4); x4 = x4 / sqrt(4); dx4 = dx1 / sqrt(4); sum (p1) * dx1 sum (p1.*x1) * dx1 sum (p1.*x1.^2) * dx1 sum (p2) * dx2 sum (p2.*x2) * dx2 sum (p2.*x2.^2) * dx2 sum (p3) * dx3 sum (p3.*x3) * dx3 sum (p3.*x3.^2) * dx3 sum (p4) * dx4 sum (p4.*x4) * dx4 sum (p4.*x4.^2) * dx4 axis ([-5 5 0 0.5]) gset nokey gset terminal png gset output 'central_limit_thm_1.png' plot (x1, p1, 'r-') gset output 'central_limit_thm_2.png' plot (x2, p2, 'r-') gset output 'central_limit_thm_3.png' plot (x3, p3, 'r-') gset output 'central_limit_thm_4.png' plot (x4, p4, 'r-')
date/time | username | edit summary |
---|---|---|
16:35, 3 November 2005 | en:User:Sverdrup | (removing a space in "ones (1, 500)". With this fix, I can paste it directly into my octave console) |
15:30, 14 October 2004 | en:User:Wile E. Heresiarch | (disambiguate Octave) |
05:46, 14 October 2004 | en:User:Wile E. Heresiarch | (+GFDL, +octave cmds) |
16:41, 12 January 2004 | en:User:Wile E. Heresiarch | (illustration of central limit theorem, part 1) |
Original upload log
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- (del) (cur) 05:13, 14 October 2004 . . en:User:Wile_E._Heresiarch Wile E. Heresiarch ( en:User_talk:Wile_E._Heresiarch Talk) . . 640x480 (3584 bytes) (illustration of central limit theorem, part 1)
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 17:56, 18 March 2006 | 640 × 480 (4 KB) | Maksim (talk | contribs) | La bildo estas kopiita de wikipedia:en. La originala priskribo estas: illustration of central limit theorem, part 1 I created these images: Image:Central_limit_thm_1.png, Image:Central_limit_thm_2.png, Image:Central_limit_thm_3.png, [[:Im |
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