A calculus on Lévy exponents and new properties of selfdecomposable probability measures (original) (raw)

A new factorization property of the selfdecomposable probability measures

Zbigniew J. Jurek

The Annals of Probability, 2004

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A random integral calculus on generalized s-selfdecomposable probability measures

Zbigniew J. Jurek

arXiv (Cornell University), 2010

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Factorization Property of Generalized s -Selfdecomposable Measures and Class LfL^fLf Distributions

Zbigniew J. Jurek

Theory of Probability & Its Applications, 2011

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On Lévy measures for infinitely divisible natural exponential families

C. Kokonendji

Statistics & Probability Letters, 2006

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Remarks on factorization property of some stochastic integrals

Zbigniew J. Jurek

arXiv (Cornell University), 2013

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L\'evy measures of infinitely divisible positive processes -- examples and distributional identities

Jan Rosiński

2021

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Generalized Lévy stochastic areas and selfdecomposability

Zbigniew J. Jurek

Statistics & Probability Letters, 2003

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A calculus on L\'evy exponents and selfdecomposability on Banach spaces

Zbigniew J. Jurek

2008

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Measure Convolution Semigroups and Noninfinitely Divisible Probability Distributions

Aubrey Wulfsohn

Journal of Mathematical Sciences, 2005

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Remarks on the factorization property of some random integrals

Zbigniew J. Jurek

Statistics & Probability Letters, 2014

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Invariant measures under random integral mappings and marginal distributions of fractional Lévy processes

Zbigniew J. Jurek

Statistics & Probability Letters, 2013

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Infinitely divisible distributions in algebras with stochastic convolution

Zeev Volkovich

Journal of Soviet Mathematics, 1988

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On a Method of Introducing Free-Infinitely Divisible Probability Measures

Zbigniew J. Jurek

Demonstratio Mathematica, 2016

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Lévy processes and stochastic integrals in the sense of generalized convolutions

Jan Rosiński

Bernoulli, 2015

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An integral representation for selfdecomposable banach space valued random variables

Zbigniew J. Jurek

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1983

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The Random Integral Representation Hypothesis Revisited: New Classes of S-SELFDE.COMPOSABLE Laws

Zbigniew J. Jurek

Abstract and Applied Analysis

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A generalised Gangolli–Lévy–Khintchine formula for infinitely divisible measures and Lévy processes on semi-simple Lie groups and symmetric spaces

Anthony Dooley

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2015

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Remarks on compositions of some random integral mappings

Zbigniew J. Jurek

arXiv (Cornell University), 2020

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Representations and isomorphism identities for infinitely divisible processes

J. Rosinski

The Annals of Probability

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Random integral representations for free-infinitely divisible and tempered stable distributions

Zbigniew J. Jurek

Statistics & Probability Letters, 2007

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Classes of Infinitely Divisible Distributions on mathbfRd\mathbf{R}^dmathbfRd Related to the Class of Selfdecomposable Distributions

MAYO SUZUKI

Tokyo Journal of Mathematics, 2010

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An Extension of the Clark-Ocone Formula Under Change of Measure for Lévy Processes

Yeliz Yolcu Okur

2008

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Lévy processes with respect to the Whittaker convolution

Semyon Yakubovich

Transactions of the American Mathematical Society, 2021

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An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process

Anatoly M Vershik

Journal of Functional Analysis, 2001

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Lévy processes: Capacity and Hausdorff dimension

Yimin Xiao

The Annals of Probability, 2005

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PR ] 8 M ay 2 01 8 Lévy processes with respect to the index Whittaker convolution

Semyon Yakubovich

2018

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On Moore–Yamasaki–Kharazishvili Type Measures and the Infinite Powers of Borel Diffused Probability Measures on R

Tengiz Kiria

arXiv: Probability, 2016

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A representation of infinitely divisible signed random measures

Paulo Oliveira

Portugaliae Mathematica, 1995

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Introduction to Lévy Processes

Yunan Liu

Wiley Encyclopedia of Operations Research and Management Science, 2013

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A note on product of measures

Grzegorz Andrzejczak

arXiv: Functional Analysis, 2018

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Selfdecomposability, perpetuity and stopping times

Zbigniew J. Jurek

arXiv (Cornell University), 2013

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On path properties of certain infinitely divisible processes

Jan Rosiński

Stochastic Processes and their Applications, 1989

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Fock factorizations, and decompositions of the L 2 spaces over general Lévy processes

Anatoly M Vershik

Russian Mathematical Surveys, 2003

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Lévy group and density measures

Martin Sleziak

Journal of Number Theory, 2008

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Mixtures in nonstable Lévy processes

Nicola Cufaro Petroni

Journal of Physics A: Mathematical and Theoretical, 2007

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