Limit property for regular and Weak Generalized Convolution

DOI10.1007/S10959-009-0238-2zbMath1205.60009OpenAlexW2033695559MaRDI QIDQ966508

B. H. Jasiulis

Publication date: 23 April 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-009-0238-2

zbMATH Keywords

generalized weak convolutionweakly stable distributionfactor of weakly stable distributionGeneralized convolution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability measures on topological spaces (60B05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Probabilistic measure theory (60A10)

Related Items (9)

Lévy processes and stochastic integrals in the sense of generalized convolutions ⋮ On weak generalized stability of random variables via functional equations ⋮ Classical definitions of the Poisson process do not coincide in the case of generalized convolutions ⋮ On the uniqueness of the Kendall generalized convolution ⋮ Lévy process with substable increments via generalized convolution ⋮ Kendall random walk, Williamson transform, and the corresponding Wiener-Hopf factorization ⋮ The Urbanik generalized convolutions in the non-commutative probability and a forgotten method of constructing generalized convolution ⋮ Every symmetric weakly-stable random vector is pseudo-isotropic ⋮ Weak Lévy--Khintchine Representation for Weak Infinite Divisibility

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• Classes of measures closed under mixing and convolution. Weak stability
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• Generalized convolutions III
• Weak stability and generalized weak convolution for random vectors and stochastic processes
• Generalized convolutions

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