Convergence modes. Fundamental limit theorems
Probabilities - Fundamental concepts
Article REF: AF166 V1
Convergence modes. Fundamental limit theorems
Probabilities - Fundamental concepts

Author : Sylvie MÉLÉARD

Publication date: April 10, 2001, Review date: November 19, 2019 | Lire en français

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4. Convergence modes. Fundamental limit theorems

4.1 Different convergence modes

In this section, we consider a sequence of random variables (Xn)n , and are interested in its asymptotic behavior when n tends to infinity. Remember that these variables are in fact functions, and that the notions of convergence we're going to define are functional in nature. These convergences will be of different natures depending on whether we are considering the variables Xn or just...

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