Some definite integrals arising from selfdecomposable characteristic functions

DOI10.1007/s10986-023-09607-xzbMath1525.60026arXiv2301.11625OpenAlexW4386715226MaRDI QIDQ6054050

Zbigniew J. Jurek

Publication date: 24 October 2023

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.11625

zbMATH Keywords

Lévy processinfinite divisibilityrandom integralselfdecomposabilitylog-gamma distributiongeneralized logistic distributionMeixner distributionsFeller-Spitzer distributionshyperbolic characteristic functionsUrbanik classes

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Characteristic functions; other transforms (60E10) Stochastic integrals (60H05)

Cites Work

• Limit distributions and one-parameter groups of linear operators on Banach spaces
• Infinitely divisible distribution functions of class L and the Lee-Yang theorem
• Processes of Meixner type
• Generalized \(z\)-distributions and related stochastic processes
• On two extensions of the canonical Feller-Spitzer distribution
• SELF-DECOMPOSABILITY AND OPTION PRICING
• An integral representation for selfdecomposable banach space valued random variables
• Infinitely Divisible Laws Associated with Hyperbolic Functions
• Selfdecomposable Laws Associated with Hyperbolic Functins
• Selected Topics in Characteristic Functions
• On background driving distribution functions (BDDF) for some selfdecomposable variables
• Background Driving Distribution Functions and Series Representations for Log-Gamma Self-Decomposable Random Variables
• An Extension of an Inequality Involving Modified Bessel Functions
• 1D Ising models, compound geometric distributions and selfdecomposability
• Which Urbanik class \(L_k\), do the hyperbolic and the generalized logistic characteristic functions belong to?
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