When do weighted sums of independent random variables have a density. Some results and examples

DOI10.1214/AOP/1176993787zbMath0484.60012OpenAlexW2057282530MaRDI QIDQ1163779

Jakob I. Reich

Publication date: 1982

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993787

zbMATH Keywords

range splitting sequences of independent random variables

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Continuity and singularity of induced measures (60G30)

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Lokale Grenzwertsätze für gewichtete summen ⋮ Some remarks on the existence of densities for sums with weights

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