Almost Sure Local Limit Theorems with Rate
Autor: | Michel Weber, Rita Giuliano-Antonini |
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Rok vydání: | 2011 |
Předmět: |
Statistics and Probability
Independent and identically distributed random variables Discrete mathematics Exchangeable random variables High Energy Physics::Lattice Applied Mathematics Correlation inequality Algebra of random variables Convergence of random variables Sum of normally distributed random variables Statistics Probability and Uncertainty Random variable Mathematics Central limit theorem |
Zdroj: | Stochastic Analysis and Applications. 29:779-798 |
ISSN: | 1532-9356 0736-2994 |
DOI: | 10.1080/07362994.2011.598787 |
Popis: | We establish almost sure versions, with rate, of the local limit theorem for lattice distributed random variables. We also prove a new delicate correlation inequality for sums of i.i.d. lattice distributed random variables. |
Databáze: | OpenAIRE |
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