# 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 |
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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 |