Image:BerryEsseenTheoremCDFGraphExample.png

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Image:BerryEsseenTheoremCDFGraphExample.png

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Image in higher resolution (739 × 825 pixel, file size: 5 KB, MIME type: image/png)

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 image has been (or is hereby) released into the public domain by its creator, Dcljr. This applies worldwide.
In case this is not legally possible,
the creator grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Subject to disclaimers.

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).

File history

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(del) (cur) 06:48, 5 September 2004 . . Dcljr (Talk | contribs) . . 739×825 (4,641 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 . . Dcljr (Talk | contribs) . . 734×769 (3,695 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.)