Image:Conditional expectation commutative diagram.png
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A commutative diagram for en:conditional expectation. It isn't really commutative; instead it's commutative in an average sense. (Apparently that's what the dashed arrow indicates.)
David Benbennick made the diagram today, February 4, 2005. To make this image, I started with the following TeX file, diag.tex:
%&latex
\documentclass{article}
\usepackage[matrix,arrow,ps]{xy}
\UsePSspecials{dvips}
\pagestyle{empty}
\begin{document}
\[
\xymatrix{
& \mathbf{R} \\
\Omega \ar@{->}[ur]^X \ar@{->}[r]_Y & U \ar@{-->}[u]_{\mathrm{E}(X\mid Y)}
}
\]
\end{document}
I ran the commands
tex diag dvips -mode ljfzzz -D 1200 diag -o convert -density 1200 -chop 4502x2515 -chop 99999x99999+1177+799 diag.ps diag.png pngcrush -reduce -brute -l 9 diag.png diag.crush.png
The final output file was diag.crush.png.
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