A probabilistic approach to domains of partial attraction

DOI10.1016/0196-8858(90)90012-NzbMath0713.60028OpenAlexW2129244191MaRDI QIDQ749993

Sándor Csörgö

Publication date: 1990

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(90)90012-n

zbMATH Keywords

infinitely divisible lawdomain of partial attractionanalytic conditionsasymptotic distribution of sumsGnedenko's transitivity theoremindependent Poisson processes

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (5)

An approximation to infinitely divisible laws ⋮ The domain of partial attraction of a Poisson law ⋮ An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws ⋮ A procedure for outlier identification in data sets from continuous distributions ⋮ An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law

Cites Work

• The asymptotic distribution of trimmed sums
• A probabilistic approach to the asymptotic distribution of sums of independent, identically distributed random variables
• The asymptotic distribution of extreme sums
• The domain of partial attraction of a Poisson law
• A limit theorem which clarifies the ‘Petersburg Paradox'
• Sur l'ensemble de puissances d'une loi de probabilité
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