There's a discussion here of two symbols approximating $\coprod$, $\prod$, though these ones are slightly different. They are only presented as part of this image, after the first X on each line:
What is the correct LaTeX for each symbol?
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1 Answer
Define the symbols:
\documentclass{article}
\usepackage{amsmath}
\newcommand{\depkern}{\mspace{-9mu}}
\newcommand{\independent}{\mathrel{\bot\depkern\bot}}
\newcommand{\dependent}{\mathrel{\top\depkern\top}}
\begin{document}
$\mathcal{X} \independent \mathcal{Y} \mid \mathcal{Z}$
$\mathcal{X} \dependent \mathcal{Y} \mid \mathcal{Z}$
\end{document}
Adjust the figure in \depkern at will.
