File:BerryEsseenTheoremCDFGraphExample.png

This graph image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}. It is recommended to name the SVG file “BerryEsseenTheoremCDFGraphExample.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Transferred from en.wikipedia to Commons by Maksim.

This image illustrates the difference (or distance) between the cumulative distribution functions of the standard normal distribution (Φ) and a hypothetical distribution of a standardized sample mean (F_n), as alluded to in the Berry-Esséen theorem. (Specifically, the plotted hypothetical distribution is a t distribution with 3 degrees of freedom.)

This work has been released into the public domain by its author, Dcljr. This applies worldwide. In some countries this may not be legally possible; if so: Dcljr grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

en:User:Dcljr#Licensing of contributions

I originally created this image using the R programming language (version 1.4.1 for Microsoft Windows), edited it in Microsoft Paint, and then cropped it and converted it to PNG format in ACDSee (version 3.1 for Windows).

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 06:48, 5 September 2004 . . en:User:Dcljr Dcljr ( en:User_talk:Dcljr Talk) . . 739x825 (4641 bytes) (I created this image in R for Windows 95, edited it in Microsoft Paint, and cropped and converted it to PNG in ACDSee 3.1 for Windows)
• (del) (rev) 09:59, 28 August 2004 . . en:User:Dcljr Dcljr ( en:User_talk:Dcljr Talk) . . 734x769 (3695 bytes) (I created this image using R version 1.4.1 for Windows; edited it in Microsoft Paint; cropped it and converted it to PNG in ACDSee 3.1 for Windows.)