On the uniqueness of the Kendall generalized convolution

DOI10.1007/S10959-010-0279-6zbMath1227.60017OpenAlexW2098628078MaRDI QIDQ639333

Barbara H. Jasiulis-Gołdyn, Jolanta K. Misiewicz

Publication date: 20 September 2011

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

Full work available at URL: https://doi.org/10.1007/s10959-010-0279-6

zbMATH Keywords

Pareto distributiongeneralized convolutiongeneralized weak convolutionweakly stable distribution

Mathematics Subject Classification ID

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

Related Items (9)

Renewal theory for extremal Markov sequences of Kendall type ⋮ Asymptotic properties of extremal Markov processes driven by Kendall convolution ⋮ How exceptional is the extremal Kendall and Kendall-type convolution ⋮ Unnamed Item ⋮ Slash distributions, generalized convolutions, and extremes ⋮ Classical definitions of the Poisson process do not coincide in the case of generalized convolutions ⋮ Kendall random walk, Williamson transform, and the corresponding Wiener-Hopf factorization ⋮ Generalized convolutions and the Levi-Civita functional equation ⋮ Weak Lévy--Khintchine Representation for Weak Infinite Divisibility

Cites Work

• Limit property for regular and Weak Generalized Convolution
• Random walks with spherical symmetry
• Generalized convolutions IV
• Classes of measures closed under mixing and convolution. Weak stability
• Weak stability and generalized weak convolution for random vectors and stochastic processes
• Generalized convolutions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the uniqueness of the Kendall generalized convolution