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Large deviations for zeros of $P(\phi)_2$ random polynomials
Large deviations zeros $P(\phi)_2$ random polynomials
2010/12/13
We extend the results of [ZZ] on LDP’s (large deviations principles) for the empirical measures Zs := 1 N X :s()=0 , (N := #{ : s() = 0)} of zeros of Gaussian random polynomials s in one variab...
Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails
negatively associated dominatedly varying tail precise large deviation
2007/12/12
In this paper, we obtain results on precise large deviations for non-random and random sums of negatively associated nonnegative random variables with common dominatedly varying tail distribution func...
Moderate Deviations for Random Sums of Heavy-Tailed Random Variables
large deviations moderate deviations extended regular variation Poisson process
2007/12/11
Let $\{X_n ; n\geq 1\}$ be a sequence of independent non-negative random variables with common distribution function $F$ having extended regularly varying tail and finite mean $\mu=E(X_1)$ and let $\{...