Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications

DOI10.1051/ps/2014030zbMath1333.60031OpenAlexW2069975372MaRDI QIDQ2786486

Rita Giuliano, Claudio Macci

Publication date: 12 February 2016

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ps/2014030

zbMATH Keywords

weak convergenceHellinger distancelarge deviationsweighted meansalmost sure central limit theoremprime numberssquare-free numbersDickman distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Large deviations (60F10) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (6)

Large deviations for some logarithmic means in the case of random variables with thin tails ⋮ Large deviation results and applications to the generalized Cramér model ⋮ Asymptotic results for weighted means of linear combinations of independent Poisson random variables ⋮ On the properties of a Takács distribution ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes

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