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Displaying similar documents to “Random walks on generating sets for finite groups.”

Large deviations for independent random variables – Application to Erdös-Renyi’s functional law of large numbers

Jamal Najim (2005)

ESAIM: Probability and Statistics

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A Large Deviation Principle (LDP) is proved for the family 1 n 1 n 𝐟 ( x i n ) · Z i n where the deterministic probability measure 1 n 1 n δ x i n converges weakly to a probability measure R and ( Z i n ) i are d -valued independent random variables whose distribution depends on x i n and satisfies the following exponential moments condition: sup i , n 𝔼 e α * | Z i n | < + forsome 0 < α * < + . In this context, the identification of the rate function is non-trivial due to the absence of equidistribution. We rely on fine convex analysis to address this issue. Among...