60A10-AlmostSurelyAbsolutelyBoundedRandomVariable.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{AlmostSurelyAbsolutelyBoundedRandomVariable}
\pmcreated{2013-03-22 16:14:30}
\pmmodified{2013-03-22 16:14:30}
\pmowner{Andrea Ambrosio}{7332}
\pmmodifier{Andrea Ambrosio}{7332}
\pmtitle{almost surely absolutely bounded random variable}
\pmrecord{7}{38345}
\pmprivacy{1}
\pmauthor{Andrea Ambrosio}{7332}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{60A10}

\endmetadata

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\begin{document}
Let $\{\Omega ,E,P\}$ a probability space and let $X$ be a random
variable; then, $X$ is said to be almost surely absolutely bounded iff a \PMlinkescapetext{constant} $M>0$ exists such that
\[
\Pr \left\{ \left\vert X\right\vert \leq M\right\} =1.
\]
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\end{document}