almost surely absolutely bounded random variable

Let $\{\mathrm{\Omega },E,P\}$ 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

$$\mathrm{Pr}\left\{\left|X\right|\le M\right\}=1.$$

Title	almost surely absolutely bounded random variable
Canonical name	AlmostSurelyAbsolutelyBoundedRandomVariable
Date of creation	2013-03-22 16:14:30
Last modified on	2013-03-22 16:14:30
Owner	Andrea Ambrosio (7332)
Last modified by	Andrea Ambrosio (7332)
Numerical id	7
Author	Andrea Ambrosio (7332)
Entry type	Definition
Classification	msc 60A10