# almost surely absolutely bounded random variable

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 $M>0$ exists such that

 $\Pr\left\{\left|X\right|\leq M\right\}=1.$
Title almost surely absolutely bounded random variable AlmostSurelyAbsolutelyBoundedRandomVariable 2013-03-22 16:14:30 2013-03-22 16:14:30 Andrea Ambrosio (7332) Andrea Ambrosio (7332) 7 Andrea Ambrosio (7332) Definition msc 60A10