×
Compute Distance To:
Author ID: jurek.zbigniew-j Recent zbMATH articles by "Jurek, Zbigniew J."
Published as: Jurek, Zbigniew J.; Jurek, Z. J.; Jurek, Zbigniew; Jurek, Z.
Documents Indexed: 87 Publications since 1975, including 1 Book
Reviewing Activity: 97 Reviews
Co-Authors: 18 Co-Authors with 25 Joint Publications
523 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 409 times in 218 Documents Cited by Year
Operator-limit distributions in probability theory. Zbl 0850.60003
Jurek, Zbigniew J.; Mason, Jesse David
82
1993
An integral representation for selfdecomposable Banach space valued random variables. Zbl 0488.60028
Jurek, Zbigniew; Vervaat, Wim
58
1983
Relations between the \(\epsilon\)-selfdecomposable and selfdecomposable measures. Zbl 0569.60011
Jurek, Zbigniew J.
30
1985
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). Zbl 0628.60009
Jurek, Zbigniew J.
15
1988
The symmetry group and exponents of operator stable probability measures. Zbl 0603.60011
Hudson, William N.; Jurek, Zbigniew J.; Veeh, Jerry Alan
14
1986
An integral representation of operator-selfdecomposable random variables. Zbl 0503.60063
Jurek, Zbigniew J.
12
1982
Limit distributions and one-parameter groups of linear operators on Banach spaces. Zbl 0533.60004
Jurek, Zbigniew J.
11
1983
Domains of normal attraction of operator-stable measures on Euclidean spaces. Zbl 0478.60031
Jurek, Zbigniew J.
10
1980
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). II. Zbl 0672.60010
Jurek, Zbigniew J.
9
1989
Selfdecomposability: An exception or a rule? Zbl 0904.60012
Jurek, Zbigniew J.
9
1997
Remarks on stable measures on Banach spaces. Zbl 0383.60005
Jurek, Z.; Urbanik, Kazimierz
9
1978
Remarks on the selfdecomposability and new examples. Zbl 0992.60021
Jurek, Zbigniew J.
8
2001
Polar coordinates in Banach spaces. Zbl 0573.47036
Jurek, Zbigniew J.
7
1984
Limit distributions for sums of shrunken random variables. Zbl 0469.60008
Jurek, Zbigniew J.
7
1981
A new factorization property of the selfdecomposable probability measures. Zbl 1046.60002
Iksanov, Aleksander M.; Jurek, Zbigniew J.; Schreiber, Bertram M.
7
2004
Selfdecomposable laws associated with hyperbolic functions. Zbl 1066.60019
Jurek, Zbigniew J.; Yor, Marc
7
2004
Shot noise distributions and selfdecomposability. Zbl 1042.60026
Iksanov, Aleksander M.; Jurek, Zbigniew J.
7
2003
The random integral representation conjecture: a quarter of a century later. Zbl 1290.60023
Jurek, Zbigniew J.
7
2011
The classes \(L_ m(Q)\) of probability measures on Banach spaces. Zbl 0541.60004
Jurek, Zbigniew J.
6
1983
Series of independent exponential random variables. Zbl 0958.60007
Jurek, Zbigniew J.
6
1996
Fourier transforms of measures from the classes \({\mathcal U}_ \beta{},\;-2 < \beta{}\leq{}-1\). Zbl 0753.60007
Jurek, Zbigniew J.; Schreiber, Bertram M.
6
1992
Random integral representations for free-infinitely divisible and tempered stable distributions. Zbl 1112.60007
Jurek, Zbigniew J.
6
2007
On relations between Urbanik and Mehler semigroups. Zbl 1201.60007
Jurek, Zbigniew J.
6
2009
On fixed points of Poisson shot noise transforms. Zbl 1030.60011
Iksanov, Aleksander M.; Jurek, Zbigniew J.
5
2002
Continuity of certain random integral mappings and the uniform integrability of infinitely divisible measures. Zbl 0673.60015
Jurek, Z. J.; Rosinski, J.
4
1988
On Lévy (spectral) measures of integral form on Banach spaces. Zbl 0745.60012
Jurek, Zbigniew J.
4
1990
Structure of a class of operator-selfdecomposable probability measures. Zbl 0489.60007
Jurek, Zbigniew J.
3
1982
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). III. Zbl 0783.60042
Jurek, Zbigniew J.
3
1992
Cauchy transforms of measures viewed as some functionals of Fourier transforms. Zbl 1106.60023
Jurek, Zbigniew J.
3
2006
The random integral representation hypothesis revisited: new classes of s-selfdecomposable laws. Zbl 1063.60019
Jurek, Zbigniew J.
3
2004
Remarks on operator-stable probability measures. Zbl 0441.60016
Jurek, Zbigniew
3
1979
Some analytical semigroups occurring in probability theory. Zbl 0860.60008
Hofmann, Karl H.; Jurek, Zbigniew J.
2
1996
Continuity of certain random integral mappings and the uniform integrability of infinitely divisible measures. Zbl 0656.60028
Jurek, Z. J.; Rosinski, J.
2
1988
On a central limit theorem for shrunken weakly dependent random variables. Zbl 1330.60043
Bradley, Richard C.; Jurek, Zbigniew J.
2
2015
On integrability with respect to infinitely divisible measures. Zbl 0475.60004
Jurek, Zbigniew J.; Smalara, Jerzy
2
1981
Large deviations for some Poisson random integrals. Zbl 0959.60022
Jurek, Zbigniew J.; Wu, Liming
2
2000
A note on gamma random variables and Dirichlet series. Zbl 0970.60022
Jurek, Zbigniew J.
2
2000
Remarks concerning the theory of operator-limit distributions. Zbl 0759.60011
Jurek, Zbigniew J.
2
1988
Operator exponents of probability measures and Lie semigroups. Zbl 0779.60007
Jurek, Zbigniew J.
2
1992
Selfdecomposability perpetuity laws and stopping times. Zbl 0987.60024
Jurek, Zbigniew J.
2
1999
The strong mixing and the selfdecomposability properties. Zbl 1302.60018
Bradley, Richard C.; Jurek, Zbigniew J.
2
2014
Remarks on restricted Nevanlinna transforms. Zbl 1268.46043
Jankowski, Lech; Jurek, Zbigniew J.
2
2012
How to solve the inequality \(U_ tm\leq m\) for every t \((0<t<1)?\). Zbl 0563.60020
Jurek, Zbigniew J.
1
1984
How to solve the inequality: \(U_ tm\leq m\) for every \(0<t<1?\) II. Zbl 0563.60021
Jurek, Zbigniew J.
1
1982
Central limit theorem in Euclidean space. Zbl 0464.60024
Jurek, Zbigniew J.
1
1980
Limit distributions in generalized convolution algebras. Zbl 0624.60026
Jurek, Zbigniew J.
1
1985
Some characterizations of the class L in generalized convolution algebras. Zbl 0477.60010
Jurek, Zbigniew J.
1
1981
Generators of some classes of probability measures on Banach spaces. Zbl 0542.60019
Jurek, Zbigniew J.
1
1983
Strong mixing and operator self-decomposability. Zbl 1336.60006
Bradley, Richard C.; Jurek, Zbigniew J.
1
2016
Lee-Yang models, selfdecomposability and negative-definite functions. Zbl 1071.82524
De Coninck, Joël; Jurek, Zbigniew J.
1
2000
A note on a composition of two random integral mappings \(\mathcal J^{\beta }\) and some examples. Zbl 1189.60049
Czyẓewska-Jankowska, Agnieszka; Jurek, Zbigniew J.
1
2009
\(s\)-stable laws in insurance and finance and generalization to nilpotent Lie groups. Zbl 0993.91020
Jurek, Zbigniew J.; Neuenschwander, Daniel
1
1999
Properties of s-stable distribution functions. Zbl 0414.60024
Jurek, Zbigniew J.
1
1979
A representation of the characteristic functions of stable distributions in Hilbert spaces. Zbl 0415.60006
Jurek, Zbigniew J.
1
1979
A limit theorem for truncated random variables. Zbl 0319.60011
Jurek, Z.
1
1975
Remarks on the factorization property of some random integrals. Zbl 1302.60088
Jurek, Zbigniew J.
1
2014
On a method of introducing free-infinitely divisible probability measures. Zbl 1386.60021
Jurek, Zbigniew J.
1
2016
1D Ising models, compound geometric distributions and selfdecomposability. Zbl 1026.82006
Jurek, Zbigniew J.
1
2001
On stability of probability measures in Euclidean spaces. Zbl 0442.60023
Jurek, Zbigniew J.
1
1980
A calculus on Lévy exponents and selfdecomposability on Banach spaces. Zbl 1166.60012
Jurek, Zbigniew J.
1
2008
Factorization property of generalized \(s\)-selfdecomposable measures and class \(L^f\) distributions. Zbl 1247.60022
Czyżewska-Jankowska, A.; Jurek, Z. J.
1
2011
Generalized Lévy stochastic areas and selfdecomposability. Zbl 1116.60310
Jurek, Zbigniew J.
1
2003
Strong mixing and operator self-decomposability. Zbl 1336.60006
Bradley, Richard C.; Jurek, Zbigniew J.
1
2016
On a method of introducing free-infinitely divisible probability measures. Zbl 1386.60021
Jurek, Zbigniew J.
1
2016
On a central limit theorem for shrunken weakly dependent random variables. Zbl 1330.60043
Bradley, Richard C.; Jurek, Zbigniew J.
2
2015
The strong mixing and the selfdecomposability properties. Zbl 1302.60018
Bradley, Richard C.; Jurek, Zbigniew J.
2
2014
Remarks on the factorization property of some random integrals. Zbl 1302.60088
Jurek, Zbigniew J.
1
2014
Remarks on restricted Nevanlinna transforms. Zbl 1268.46043
Jankowski, Lech; Jurek, Zbigniew J.
2
2012
The random integral representation conjecture: a quarter of a century later. Zbl 1290.60023
Jurek, Zbigniew J.
7
2011
Factorization property of generalized \(s\)-selfdecomposable measures and class \(L^f\) distributions. Zbl 1247.60022
Czyżewska-Jankowska, A.; Jurek, Z. J.
1
2011
On relations between Urbanik and Mehler semigroups. Zbl 1201.60007
Jurek, Zbigniew J.
6
2009
A note on a composition of two random integral mappings \(\mathcal J^{\beta }\) and some examples. Zbl 1189.60049
Czyẓewska-Jankowska, Agnieszka; Jurek, Zbigniew J.
1
2009
A calculus on Lévy exponents and selfdecomposability on Banach spaces. Zbl 1166.60012
Jurek, Zbigniew J.
1
2008
Random integral representations for free-infinitely divisible and tempered stable distributions. Zbl 1112.60007
Jurek, Zbigniew J.
6
2007
Cauchy transforms of measures viewed as some functionals of Fourier transforms. Zbl 1106.60023
Jurek, Zbigniew J.
3
2006
A new factorization property of the selfdecomposable probability measures. Zbl 1046.60002
Iksanov, Aleksander M.; Jurek, Zbigniew J.; Schreiber, Bertram M.
7
2004
Selfdecomposable laws associated with hyperbolic functions. Zbl 1066.60019
Jurek, Zbigniew J.; Yor, Marc
7
2004
The random integral representation hypothesis revisited: new classes of s-selfdecomposable laws. Zbl 1063.60019
Jurek, Zbigniew J.
3
2004
Shot noise distributions and selfdecomposability. Zbl 1042.60026
Iksanov, Aleksander M.; Jurek, Zbigniew J.
7
2003
Generalized Lévy stochastic areas and selfdecomposability. Zbl 1116.60310
Jurek, Zbigniew J.
1
2003
On fixed points of Poisson shot noise transforms. Zbl 1030.60011
Iksanov, Aleksander M.; Jurek, Zbigniew J.
5
2002
Remarks on the selfdecomposability and new examples. Zbl 0992.60021
Jurek, Zbigniew J.
8
2001
1D Ising models, compound geometric distributions and selfdecomposability. Zbl 1026.82006
Jurek, Zbigniew J.
1
2001
Large deviations for some Poisson random integrals. Zbl 0959.60022
Jurek, Zbigniew J.; Wu, Liming
2
2000
A note on gamma random variables and Dirichlet series. Zbl 0970.60022
Jurek, Zbigniew J.
2
2000
Lee-Yang models, selfdecomposability and negative-definite functions. Zbl 1071.82524
De Coninck, Joël; Jurek, Zbigniew J.
1
2000
Selfdecomposability perpetuity laws and stopping times. Zbl 0987.60024
Jurek, Zbigniew J.
2
1999
\(s\)-stable laws in insurance and finance and generalization to nilpotent Lie groups. Zbl 0993.91020
Jurek, Zbigniew J.; Neuenschwander, Daniel
1
1999
Selfdecomposability: An exception or a rule? Zbl 0904.60012
Jurek, Zbigniew J.
9
1997
Series of independent exponential random variables. Zbl 0958.60007
Jurek, Zbigniew J.
6
1996
Some analytical semigroups occurring in probability theory. Zbl 0860.60008
Hofmann, Karl H.; Jurek, Zbigniew J.
2
1996
Operator-limit distributions in probability theory. Zbl 0850.60003
Jurek, Zbigniew J.; Mason, Jesse David
82
1993
Fourier transforms of measures from the classes \({\mathcal U}_ \beta{},\;-2 < \beta{}\leq{}-1\). Zbl 0753.60007
Jurek, Zbigniew J.; Schreiber, Bertram M.
6
1992
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). III. Zbl 0783.60042
Jurek, Zbigniew J.
3
1992
Operator exponents of probability measures and Lie semigroups. Zbl 0779.60007
Jurek, Zbigniew J.
2
1992
On Lévy (spectral) measures of integral form on Banach spaces. Zbl 0745.60012
Jurek, Zbigniew J.
4
1990
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). II. Zbl 0672.60010
Jurek, Zbigniew J.
9
1989
Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\). Zbl 0628.60009
Jurek, Zbigniew J.
15
1988
Continuity of certain random integral mappings and the uniform integrability of infinitely divisible measures. Zbl 0673.60015
Jurek, Z. J.; Rosinski, J.
4
1988
Continuity of certain random integral mappings and the uniform integrability of infinitely divisible measures. Zbl 0656.60028
Jurek, Z. J.; Rosinski, J.
2
1988
Remarks concerning the theory of operator-limit distributions. Zbl 0759.60011
Jurek, Zbigniew J.
2
1988
The symmetry group and exponents of operator stable probability measures. Zbl 0603.60011
Hudson, William N.; Jurek, Zbigniew J.; Veeh, Jerry Alan
14
1986
Relations between the \(\epsilon\)-selfdecomposable and selfdecomposable measures. Zbl 0569.60011
Jurek, Zbigniew J.
30
1985
Limit distributions in generalized convolution algebras. Zbl 0624.60026
Jurek, Zbigniew J.
1
1985
Polar coordinates in Banach spaces. Zbl 0573.47036
Jurek, Zbigniew J.
7
1984
How to solve the inequality \(U_ tm\leq m\) for every t \((0<t<1)?\). Zbl 0563.60020
Jurek, Zbigniew J.
1
1984
An integral representation for selfdecomposable Banach space valued random variables. Zbl 0488.60028
Jurek, Zbigniew; Vervaat, Wim
58
1983
Limit distributions and one-parameter groups of linear operators on Banach spaces. Zbl 0533.60004
Jurek, Zbigniew J.
11
1983
The classes \(L_ m(Q)\) of probability measures on Banach spaces. Zbl 0541.60004
Jurek, Zbigniew J.
6
1983
Generators of some classes of probability measures on Banach spaces. Zbl 0542.60019
Jurek, Zbigniew J.
1
1983
An integral representation of operator-selfdecomposable random variables. Zbl 0503.60063
Jurek, Zbigniew J.
12
1982
Structure of a class of operator-selfdecomposable probability measures. Zbl 0489.60007
Jurek, Zbigniew J.
3
1982
How to solve the inequality: \(U_ tm\leq m\) for every \(0<t<1?\) II. Zbl 0563.60021
Jurek, Zbigniew J.
1
1982
Limit distributions for sums of shrunken random variables. Zbl 0469.60008
Jurek, Zbigniew J.
7
1981
On integrability with respect to infinitely divisible measures. Zbl 0475.60004
Jurek, Zbigniew J.; Smalara, Jerzy
2
1981
Some characterizations of the class L in generalized convolution algebras. Zbl 0477.60010
Jurek, Zbigniew J.
1
1981
Domains of normal attraction of operator-stable measures on Euclidean spaces. Zbl 0478.60031
Jurek, Zbigniew J.
10
1980
Central limit theorem in Euclidean space. Zbl 0464.60024
Jurek, Zbigniew J.
1
1980
On stability of probability measures in Euclidean spaces. Zbl 0442.60023
Jurek, Zbigniew J.
1
1980
Remarks on operator-stable probability measures. Zbl 0441.60016
Jurek, Zbigniew
3
1979
Properties of s-stable distribution functions. Zbl 0414.60024
Jurek, Zbigniew J.
1
1979
A representation of the characteristic functions of stable distributions in Hilbert spaces. Zbl 0415.60006
Jurek, Zbigniew J.
1
1979
Remarks on stable measures on Banach spaces. Zbl 0383.60005
Jurek, Z.; Urbanik, Kazimierz
9
1978
A limit theorem for truncated random variables. Zbl 0319.60011
Jurek, Z.
1
1975
all top 5

Cited by 211 Authors

23 Jurek, Zbigniew J.
23 Meerschaert, Mark Marvin
19 Maejima, Makoto
16 Scheffler, Hans-Peter
9 Barndorff-Nielsen, Ole Eiler
8 Sato, Ken-iti
6 Becker-Kern, Peter
6 Iksanov, Aleksander M.
6 Leonenko, Nikolai N.
6 Rosiński, Jan
5 Ueda, Yohei
5 Veeh, Jerry Alan
4 Hazod, Wilfried
4 Račkauskas, Alfredas Yurgevich
3 Didier, Gustavo
3 Hudson, William N.
3 Lindner, Alexander M.
3 Neuenschwander, Daniel
3 Paulauskas, Vygantas Ionovič
3 Pipiras, Vladas
3 Stelzer, Robert
3 Taqqu, Murad S.
3 Yamazato, Makoto
2 Applebaum, David B.
2 Bäumer, Boris
2 Behme, Anita Diana
2 Boxma, Onno Johan
2 Bradley, Richard C. jun.
2 Buraczewski, Dariusz
2 Cohen, Serge
2 Dai, Hongshuai
2 Devroye, Luc P. J. A.
2 Grahovac, Danijel
2 Grigelionis, Bronius I.
2 Guivarc’h, Yves
2 Hahn, Marjorie Green
2 James, Lancelot F.
2 Kozubowski, Tomasz J.
2 Kunita, Hiroshi
2 Łuczak, Andrzej
2 Mai, Jan-Frederik
2 Mandjes, Michel Robertus Hendrikus
2 Pap, Gyula
2 Park, Moongyu
2 Pérez-Abreu Carrión, Víctor M.
2 Rachev, Svetlozar T.
2 Rajba, Teresa
2 Rocha-Arteaga, Alfonso
2 Scherer, Matthias
2 Schreiber, Bertram M.
2 Schröder, Michael
2 Steutel, Fred Willem
2 Stoev, Stilian A.
2 Szozda, Benedykt
2 Watanabe, Toshiro
2 Weiner, Daniel Charles
2 Yor, Marc
1 Aaronson, Jon
1 Akita, Koji
1 Albeverio, Sergio A.
1 Aldous, David John
1 Andersen, Lars Nørvang
1 Aoyama, Takahiro
1 Arizmendi, Octavio
1 Asmussen, Søren
1 Balkema, August A.
1 Bandyopadhyay, Antar
1 Basalim, Kholoud
1 Basse-O’Connor, Andreas
1 Beneš, Viktor
1 Benth, Fred Espen
1 Bernhart, German
1 Bhatti, T.
1 Bogachev, Vladimir Igorevich
1 Breton, Jean-Christophe
1 Bridaa, Safa
1 Brockwell, Peter J.
1 Bunge, John
1 Cariboni, Jessica
1 Carmona, René A.
1 Chojnowska-Michalik, Anna
1 Cushman, John H.
1 Czyẓewska-Jankowska, Agnieszka
1 Damek, Ewa
1 Davydov, Michel
1 Davydov, Yu. A.
1 Demni, Nizar
1 Diop, Aliou
1 Domínguez-Molina, J. Armando
1 Dyszewski, Piotr
1 Evans, Steven Neil
1 Finlay, Richard
1 Gao, Zhenlong
1 Gao, Zhiqiang
1 Gerritse, Gerard
1 Glynn, Peter W.
1 Grabchak, Michael
1 Gushchin, Aleksandr Aleksandrovich
1 Hansen, Bjørn Gårn
1 Hasebe, Takahiro
...and 111 more Authors
all top 5

Cited in 75 Serials

30 Statistics & Probability Letters
23 Journal of Theoretical Probability
20 Stochastic Processes and their Applications
11 Journal of Multivariate Analysis
9 Lithuanian Mathematical Journal
7 The Annals of Probability
7 Probability Theory and Related Fields
6 Bernoulli
5 Journal of Mathematical Sciences (New York)
4 Journal of Applied Probability
4 Stochastic Analysis and Applications
4 The Annals of Applied Probability
3 Nagoya Mathematical Journal
3 Statistica Neerlandica
2 Journal of Mathematical Analysis and Applications
2 Theory of Probability and its Applications
2 Demonstratio Mathematica
2 Journal of Functional Analysis
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Tokyo Journal of Mathematics
2 Transactions of the American Mathematical Society
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Probability and Mathematical Statistics
2 Queueing Systems
2 Acta Mathematica Sinica. English Series
2 Methodology and Computing in Applied Probability
2 Stochastic Models
2 Stochastics and Dynamics
2 Electronic Journal of Statistics
1 Advances in Applied Probability
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Metrika
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Stochastics
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Journal of Computational and Applied Mathematics
1 Journal of Econometrics
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Kybernetika
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Semigroup Forum
1 Insurance Mathematics & Economics
1 Acta Applicandae Mathematicae
1 Journal of Applied Mathematics and Stochastic Analysis
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Theory of Probability and Mathematical Statistics
1 Statistical Papers
1 Electronic Journal of Probability
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Journal of Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of Inequalities and Applications
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Extremes
1 Brazilian Journal of Probability and Statistics
1 Quantitative Finance
1 Statistical Methods and Applications
1 Stochastics
1 Frontiers of Mathematics in China
1 Probability Surveys
1 Sankhyā. Series A
1 Journal of Mathematics
1 Dependence Modeling
1 SIAM/ASA Journal on Uncertainty Quantification
1 Open Mathematics

Citations by Year