Masmoudi, Afif; Rejeb, Hajer Infinitely divisible matrix gamma distribution: asymptotic behaviour and parameters estimation. (English) Zbl 1502.60021 Stat. Probab. Lett. 194, Article ID 109757, 8 p. (2023). MSC: 60E07 15B52 62F10 62H10 PDF BibTeX XML Cite \textit{A. Masmoudi} and \textit{H. Rejeb}, Stat. Probab. Lett. 194, Article ID 109757, 8 p. (2023; Zbl 1502.60021) Full Text: DOI OpenURL
Rejeb, Hajer; Masmoudi, Afif Asymptotic behavior of some cone-valued infinitely divisible stochastic process through projection. (English) Zbl 07666332 Lith. Math. J. 62, No. 4, 500-508 (2022). MSC: 60B10 60E07 62E20 PDF BibTeX XML Cite \textit{H. Rejeb} and \textit{A. Masmoudi}, Lith. Math. J. 62, No. 4, 500--508 (2022; Zbl 07666332) Full Text: DOI OpenURL
Khartov, A. A.; Alexeev, I. A. Quasi-infinite divisibility and three-point probability laws. (English. Russian original) Zbl 07654804 J. Math. Sci., New York 268, No. 5, 731-738 (2022); translation from Zap. Nauchn. Semin. POMI 495, 305-316 (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 60E07 60E10 PDF BibTeX XML Cite \textit{A. A. Khartov} and \textit{I. A. Alexeev}, J. Math. Sci., New York 268, No. 5, 731--738 (2022; Zbl 07654804); translation from Zap. Nauchn. Semin. POMI 495, 305--316 (2020) Full Text: DOI OpenURL
Zitelli, G. L. Amalgamated free Lévy processes as limits of sample covariance matrices. (English) Zbl 1502.60067 J. Theor. Probab. 35, No. 4, 2176-2193 (2022). MSC: 60G51 60B20 35P20 PDF BibTeX XML Cite \textit{G. L. Zitelli}, J. Theor. Probab. 35, No. 4, 2176--2193 (2022; Zbl 1502.60067) Full Text: DOI OpenURL
Lin, G. D.; Hu, C.-Y. Semi-Mittag-Leffler distributions. (English) Zbl 07596637 Probab. Math. Stat. 42, No. 1, 81-96 (2022). MSC: 62E10 60E10 60G10 33E12 42B10 PDF BibTeX XML Cite \textit{G. D. Lin} and \textit{C. Y. Hu}, Probab. Math. Stat. 42, No. 1, 81--96 (2022; Zbl 07596637) Full Text: DOI OpenURL
Jurek, Z. J. Urbanik type subclasses of free-infinitely divisible transforms. (English) Zbl 1498.60071 Probab. Math. Stat. 42, No. 1, 23-39 (2022). MSC: 60E07 60E10 60H05 33B15 33C05 PDF BibTeX XML Cite \textit{Z. J. Jurek}, Probab. Math. Stat. 42, No. 1, 23--39 (2022; Zbl 1498.60071) Full Text: DOI arXiv OpenURL
Cohen, Joel E.; Huillet, Thierry E. Taylor’s law for some infinitely divisible probability distributions from population models. (English) Zbl 07562179 J. Stat. Phys. 188, No. 3, Paper No. 33, 17 p. (2022). MSC: 62Exx 60Exx 60Gxx PDF BibTeX XML Cite \textit{J. E. Cohen} and \textit{T. E. Huillet}, J. Stat. Phys. 188, No. 3, Paper No. 33, 17 p. (2022; Zbl 07562179) Full Text: DOI arXiv OpenURL
Boniece, B. Cooper; Didier, Gustavo On operator fractional Lévy motion: integral representations and time-reversibility. (English) Zbl 1490.60087 Adv. Appl. Probab. 54, No. 2, 493-535 (2022). MSC: 60G22 60G51 60H05 PDF BibTeX XML Cite \textit{B. C. Boniece} and \textit{G. Didier}, Adv. Appl. Probab. 54, No. 2, 493--535 (2022; Zbl 1490.60087) Full Text: DOI arXiv OpenURL
Kołodziejek, Bartosz; Szpojankowski, Kamil A phase transition for tails of the free multiplicative convolution powers. (English) Zbl 1498.46071 Adv. Math. 403, Article ID 108398, 50 p. (2022). MSC: 46L54 60E07 PDF BibTeX XML Cite \textit{B. Kołodziejek} and \textit{K. Szpojankowski}, Adv. Math. 403, Article ID 108398, 50 p. (2022; Zbl 1498.46071) Full Text: DOI arXiv OpenURL
Shenkman, Natalia Min-infinite divisibility of the bivariate Marshall-Olkin copulas. (English) Zbl 07532269 Commun. Stat., Theory Methods 51, No. 1, 226-231 (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{N. Shenkman}, Commun. Stat., Theory Methods 51, No. 1, 226--231 (2022; Zbl 07532269) Full Text: DOI OpenURL
Watanabe, Toshiro Second order subexponentiality and infinite divisibility. (English) Zbl 1487.60034 J. Aust. Math. Soc. 112, No. 3, 367-390 (2022). MSC: 60E07 60G50 60G51 PDF BibTeX XML Cite \textit{T. Watanabe}, J. Aust. Math. Soc. 112, No. 3, 367--390 (2022; Zbl 1487.60034) Full Text: DOI arXiv OpenURL
Ueda, Yuki Limit theorems for classical, freely and Boolean max-infinitely divisible distributions. (English) Zbl 1492.46060 J. Theor. Probab. 35, No. 1, 89-114 (2022). Reviewer: Adam Skalski (Warszawa) MSC: 46L54 60E07 60G70 PDF BibTeX XML Cite \textit{Y. Ueda}, J. Theor. Probab. 35, No. 1, 89--114 (2022; Zbl 1492.46060) Full Text: DOI arXiv OpenURL
Khoshnevis, D.; Mostaghim, Z. The divisibility graph for F-groups. (English) Zbl 07488499 Math. Notes 111, No. 2, 236-242 (2022). MSC: 20Dxx 05Cxx 20Exx PDF BibTeX XML Cite \textit{D. Khoshnevis} and \textit{Z. Mostaghim}, Math. Notes 111, No. 2, 236--242 (2022; Zbl 07488499) Full Text: DOI OpenURL
Simon, Thomas Remark on a Mittag-Leffler function of Le Roy type. (English) Zbl 07472684 Integral Transforms Spec. Funct. 33, No. 2, 108-114 (2022). MSC: 33E12 60E10 PDF BibTeX XML Cite \textit{T. Simon}, Integral Transforms Spec. Funct. 33, No. 2, 108--114 (2022; Zbl 07472684) Full Text: DOI arXiv OpenURL
Geng, Xi; Xia, Aihua When is the Conway-Maxwell-Poisson distribution infinitely divisible? (English) Zbl 1482.60020 Stat. Probab. Lett. 181, Article ID 109264, 7 p. (2022). Reviewer: Carlo Sempi (Lecce) MSC: 60E07 60E05 60F05 PDF BibTeX XML Cite \textit{X. Geng} and \textit{A. Xia}, Stat. Probab. Lett. 181, Article ID 109264, 7 p. (2022; Zbl 1482.60020) Full Text: DOI arXiv OpenURL
Madan, Dilip B.; Wang, King Risk neutral jump arrival rates implied in option prices and their models. (English) Zbl 1490.91217 Appl. Math. Finance 28, No. 3, 201-235 (2021). MSC: 91G20 PDF BibTeX XML Cite \textit{D. B. Madan} and \textit{K. Wang}, Appl. Math. Finance 28, No. 3, 201--235 (2021; Zbl 1490.91217) Full Text: DOI OpenURL
Pakes, Anthony G. Structural properties of generalised Planck distributions. (English) Zbl 1486.60028 J. Stat. Distrib. Appl. 8, Paper No. 12, 33 p. (2021). MSC: 60E05 62E10 60E07 60J60 92D10 PDF BibTeX XML Cite \textit{A. G. Pakes}, J. Stat. Distrib. Appl. 8, Paper No. 12, 33 p. (2021; Zbl 1486.60028) Full Text: DOI OpenURL
Ostrovsky, Dmitry A family of probability distributions consistent with the DOZZ formula: towards a conjecture for the law of 2D GMC. (English) Zbl 1483.60027 Probab. Math. Phys. 2, No. 3, 533-562 (2021). MSC: 60E07 60E10 81T20 81T40 PDF BibTeX XML Cite \textit{D. Ostrovsky}, Probab. Math. Phys. 2, No. 3, 533--562 (2021; Zbl 1483.60027) Full Text: DOI arXiv OpenURL
Laverny, Oskar; Masiello, Esterina; Maume-Deschamps, Véronique; Rullière, Didier Estimation of multivariate generalized gamma convolutions through Laguerre expansions. (English) Zbl 1482.60021 Electron. J. Stat. 15, No. 2, 5158-5202 (2021). MSC: 60E07 62H12 60E10 PDF BibTeX XML Cite \textit{O. Laverny} et al., Electron. J. Stat. 15, No. 2, 5158--5202 (2021; Zbl 1482.60021) Full Text: DOI arXiv Link OpenURL
Abramov, S. A.; Barkatou, M. A.; Petkovšek, M. Linear difference operators with coefficients in the form of infinite sequences. (English. Russian original) Zbl 07426758 Comput. Math. Math. Phys. 61, No. 10, 1582-1589 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 10, 1610-1617 (2021). MSC: 47-XX 11-XX PDF BibTeX XML Cite \textit{S. A. Abramov} et al., Comput. Math. Math. Phys. 61, No. 10, 1582--1589 (2021; Zbl 07426758); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 10, 1610--1617 (2021) Full Text: DOI OpenURL
Collet, Francesca; Leisen, Fabrizio; Thorbjørnsen, Steen Completely random measures and Lévy bases in free probability. (English) Zbl 1480.46080 Electron. J. Probab. 26, Paper No. 49, 41 p. (2021). MSC: 46L54 60E07 60G57 PDF BibTeX XML Cite \textit{F. Collet} et al., Electron. J. Probab. 26, Paper No. 49, 41 p. (2021; Zbl 1480.46080) Full Text: DOI arXiv OpenURL
Watanabe, Toshiro Two hypotheses on the exponential class in the class of \(O\)-subexponential infinitely divisible distributions. (English) Zbl 1479.60036 J. Theor. Probab. 34, No. 2, 852-873 (2021). Reviewer: Alexander Lindner (Ulm) MSC: 60E07 60G51 PDF BibTeX XML Cite \textit{T. Watanabe}, J. Theor. Probab. 34, No. 2, 852--873 (2021; Zbl 1479.60036) Full Text: DOI arXiv OpenURL
Pakes, Anthony G. Affine relation between an infinitely divisible distribution function and its Lévy measure. (English) Zbl 1465.60018 J. Math. Anal. Appl. 499, No. 2, Article ID 125008, 25 p. (2021). MSC: 60E07 60G51 PDF BibTeX XML Cite \textit{A. G. Pakes}, J. Math. Anal. Appl. 499, No. 2, Article ID 125008, 25 p. (2021; Zbl 1465.60018) Full Text: DOI OpenURL
Stehr, Mads; Rønn-Nielsen, Anders Tail asymptotics of an infinitely divisible space-time model with convolution equivalent Lévy measure. (English) Zbl 1476.60090 J. Appl. Probab. 58, No. 1, 42-67 (2021). Reviewer: Andriy Olenko (Melbourne) MSC: 60G60 60G17 60E07 60D05 PDF BibTeX XML Cite \textit{M. Stehr} and \textit{A. Rønn-Nielsen}, J. Appl. Probab. 58, No. 1, 42--67 (2021; Zbl 1476.60090) Full Text: DOI OpenURL
Sylla, Edith Dudley Infinity and continuity. (English) Zbl 1461.01006 Shapiro, Stewart (ed.) et al., The history of continua. Philosophical and mathematical perspectives. Oxford: Oxford University Press. 49-81 (2021). MSC: 01A35 03-03 26-03 00A30 PDF BibTeX XML Cite \textit{E. D. Sylla}, in: The history of continua. Philosophical and mathematical perspectives. Oxford: Oxford University Press. 49--81 (2021; Zbl 1461.01006) Full Text: DOI OpenURL
Ejsmont, Wiktor; Lehner, Franz Sums of commutators in free probability. (English) Zbl 1467.46065 J. Funct. Anal. 280, No. 2, Article ID 108791, 29 p. (2021). MSC: 46L54 62E10 PDF BibTeX XML Cite \textit{W. Ejsmont} and \textit{F. Lehner}, J. Funct. Anal. 280, No. 2, Article ID 108791, 29 p. (2021; Zbl 1467.46065) Full Text: DOI arXiv OpenURL
Warren, Daniel Kant on mathematics and the metaphysics of corporeal nature. (English) Zbl 1492.01011 Posy, Carl (ed.) et al., Kant’s philosophy of mathematics. Volume 1: The critical philosophy and its roots. Cambridge: Cambridge University Press. 66-82 (2020). Reviewer: Volker Peckhaus (Paderborn) MSC: 01A50 00A30 03A05 03A10 70-03 PDF BibTeX XML Cite \textit{D. Warren}, in: Kant's philosophy of mathematics. Volume 1: The critical philosophy and its roots. Cambridge: Cambridge University Press. 66--82 (2020; Zbl 1492.01011) Full Text: Link OpenURL
Jedidi, Wissem; Basalim, Kholoud; Bridaa, Safa Three classes of decomposable distributions. (English) Zbl 1479.60035 Open Math. 18, 1855-1878 (2020). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60E07 PDF BibTeX XML Cite \textit{W. Jedidi} et al., Open Math. 18, 1855--1878 (2020; Zbl 1479.60035) Full Text: DOI OpenURL
Jurek, Zbigniew J. On a relation between classical and free infinitely divisible transforms. (English) Zbl 1472.60031 Probab. Math. Stat. 40, No. 2, 349-367 (2020). MSC: 60E07 60H05 33B15 44A10 PDF BibTeX XML Cite \textit{Z. J. Jurek}, Probab. Math. Stat. 40, No. 2, 349--367 (2020; Zbl 1472.60031) OpenURL
Morishita, Junki; Ueda, Yuki Free infinite divisibility for generalized power distributions with free Poisson term. (English) Zbl 1479.46076 Probab. Math. Stat. 40, No. 2, 245-267 (2020). MSC: 46L54 60E07 32D15 PDF BibTeX XML Cite \textit{J. Morishita} and \textit{Y. Ueda}, Probab. Math. Stat. 40, No. 2, 245--267 (2020; Zbl 1479.46076) Full Text: arXiv OpenURL
Watanabe, Toshiro Subexponential densities of infinitely divisible distributions on the half-line. (English) Zbl 1468.60024 Lith. Math. J. 60, No. 4, 530-543 (2020). MSC: 60E07 60G51 PDF BibTeX XML Cite \textit{T. Watanabe}, Lith. Math. J. 60, No. 4, 530--543 (2020; Zbl 1468.60024) Full Text: DOI arXiv OpenURL
Talarczyk, Anna; Treszczotko, Łukasz Limit theorems for integrated trawl processes with symmetric Lévy bases. (English) Zbl 1469.60150 Electron. J. Probab. 25, Paper No. 117, 24 p. (2020). MSC: 60G51 60F17 60F05 60G52 60G18 60G57 PDF BibTeX XML Cite \textit{A. Talarczyk} and \textit{Ł. Treszczotko}, Electron. J. Probab. 25, Paper No. 117, 24 p. (2020; Zbl 1469.60150) Full Text: DOI arXiv Euclid OpenURL
Kundu, Debasis On a general class of discrete bivariate distributions. (English) Zbl 1465.62095 Sankhyā, Ser. B 82, No. 2, 270-304 (2020). MSC: 62H10 62H12 62F10 62F03 PDF BibTeX XML Cite \textit{D. Kundu}, Sankhyā, Ser. B 82, No. 2, 270--304 (2020; Zbl 1465.62095) Full Text: DOI arXiv OpenURL
Molchanov, Stanislav A.; Panov, Vladimir A. The Dickman-Goncharov distribution. (English. Russian original) Zbl 1473.60009 Russ. Math. Surv. 75, No. 6, 1089-1132 (2020); translation from Usp. Mat. Nauk 75, No. 6, 107-152 (2020). Reviewer: Arakaparampil M. Mathai (Montréal) MSC: 60B10 60E07 60G50 62E15 11A41 34A05 PDF BibTeX XML Cite \textit{S. A. Molchanov} and \textit{V. A. Panov}, Russ. Math. Surv. 75, No. 6, 1089--1132 (2020; Zbl 1473.60009); translation from Usp. Mat. Nauk 75, No. 6, 107--152 (2020) Full Text: DOI OpenURL
Ejsmont, Wiktor; Lehner, Franz The free tangent law. (English) Zbl 1469.46060 Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020). MSC: 46L54 11B68 60F05 PDF BibTeX XML Cite \textit{W. Ejsmont} and \textit{F. Lehner}, Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020; Zbl 1469.46060) Full Text: DOI arXiv OpenURL
Basse-O’Connor, Andreas; Pedersen, Jan; Rohde, Victor On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos. (English) Zbl 1459.60038 Mod. Stoch., Theory Appl. 7, No. 3, 267-289 (2020). MSC: 60E07 60G15 62H05 62H10 PDF BibTeX XML Cite \textit{A. Basse-O'Connor} et al., Mod. Stoch., Theory Appl. 7, No. 3, 267--289 (2020; Zbl 1459.60038) Full Text: DOI arXiv OpenURL
Mai, Jan-Frederik The de Finetti structure behind some norm-symmetric multivariate densities with exponential decay. (English) Zbl 1457.62163 Depend. Model. 8, 210-220 (2020). MSC: 62H10 62H05 60E07 PDF BibTeX XML Cite \textit{J.-F. Mai}, Depend. Model. 8, 210--220 (2020; Zbl 1457.62163) Full Text: DOI OpenURL
Kremer, D.; Scheffler, H.-P. About atomless random measures on \(\delta \)-rings. (English) Zbl 1455.60068 Stat. Probab. Lett. 164, Article ID 108805, 4 p. (2020). MSC: 60G57 60E07 PDF BibTeX XML Cite \textit{D. Kremer} and \textit{H. P. Scheffler}, Stat. Probab. Lett. 164, Article ID 108805, 4 p. (2020; Zbl 1455.60068) Full Text: DOI OpenURL
Kadankova, Tetyana; Simon, Thomas; Wang, Min On some new moments of Gamma type. (English) Zbl 1458.33005 Stat. Probab. Lett. 165, Article ID 108854, 6 p. (2020). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33C10 33C20 60E07 60E10 PDF BibTeX XML Cite \textit{T. Kadankova} et al., Stat. Probab. Lett. 165, Article ID 108854, 6 p. (2020; Zbl 1458.33005) Full Text: DOI OpenURL
Hasebe, Takahiro; Simon, Thomas; Wang, Min Some properties of the free stable distributions. (English. French summary) Zbl 1479.60034 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 296-325 (2020). MSC: 60E07 33E20 46L54 62E15 PDF BibTeX XML Cite \textit{T. Hasebe} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 296--325 (2020; Zbl 1479.60034) Full Text: DOI arXiv Euclid OpenURL
Młotkowski, Wojciech; Sakuma, Noriyoshi; Ueda, Yuki Free self-decomposability and unimodality of the Fuss-Catalan distributions. (English) Zbl 1451.46056 J. Stat. Phys. 178, No. 5, 1055-1075 (2020). MSC: 46L54 60E05 PDF BibTeX XML Cite \textit{W. Młotkowski} et al., J. Stat. Phys. 178, No. 5, 1055--1075 (2020; Zbl 1451.46056) Full Text: DOI arXiv OpenURL
Fageot, Julien; Uhlmann, Virginie; Unser, Michael Gaussian and sparse processes are limits of generalized Poisson processes. (English) Zbl 1431.60037 Appl. Comput. Harmon. Anal. 48, No. 3, 1045-1065 (2020). MSC: 60G15 60G35 60G55 60G51 PDF BibTeX XML Cite \textit{J. Fageot} et al., Appl. Comput. Harmon. Anal. 48, No. 3, 1045--1065 (2020; Zbl 1431.60037) Full Text: DOI arXiv OpenURL
Buchmann, Boris; Lu, Kevin W.; Madan, Dilip B. Self-decomposability of weak variance generalised gamma convolutions. (English) Zbl 1471.60128 Stochastic Processes Appl. 130, No. 2, 630-655 (2020). MSC: 60J65 60E07 60G51 PDF BibTeX XML Cite \textit{B. Buchmann} et al., Stochastic Processes Appl. 130, No. 2, 630--655 (2020; Zbl 1471.60128) Full Text: DOI arXiv OpenURL
Huang, Hao-Wei; Wang, Jiun-Chau Bi-free extreme values. (English) Zbl 1445.46048 J. Funct. Anal. 278, No. 6, Article ID 108392, 39 p. (2020). MSC: 46L54 60G70 60E07 PDF BibTeX XML Cite \textit{H.-W. Huang} and \textit{J.-C. Wang}, J. Funct. Anal. 278, No. 6, Article ID 108392, 39 p. (2020; Zbl 1445.46048) Full Text: DOI arXiv OpenURL
Arras, Benjamin; Houdré, Christian On Stein’s method for multivariate self-decomposable laws. (English) Zbl 1435.60017 Electron. J. Probab. 24, Paper No. 128, 63 p. (2019). Reviewer: Peter Kern (Düsseldorf) MSC: 60E07 60E10 60F05 PDF BibTeX XML Cite \textit{B. Arras} and \textit{C. Houdré}, Electron. J. Probab. 24, Paper No. 128, 63 p. (2019; Zbl 1435.60017) Full Text: DOI arXiv Euclid OpenURL
Berger, David On quasi-infinitely divisible distributions with a point mass. (English) Zbl 1480.60038 Math. Nachr. 292, No. 8, 1674-1684 (2019). MSC: 60E07 PDF BibTeX XML Cite \textit{D. Berger}, Math. Nachr. 292, No. 8, 1674--1684 (2019; Zbl 1480.60038) Full Text: DOI arXiv OpenURL
Rønn-Nielsen, Anders; Vedel Jensen, Eva B. Central limit theorem for mean and variogram estimators in Lévy-based models. (English) Zbl 1418.60017 J. Appl. Probab. 56, No. 1, 209-222 (2019). MSC: 60F05 60G60 PDF BibTeX XML Cite \textit{A. Rønn-Nielsen} and \textit{E. B. Vedel Jensen}, J. Appl. Probab. 56, No. 1, 209--222 (2019; Zbl 1418.60017) Full Text: DOI OpenURL
Glöde, Patric; Greven, Andreas; Rippl, Thomas Branching trees I: concatenation and infinite divisibility. (English) Zbl 1467.60076 Electron. J. Probab. 24, Paper No. 52, 55 p. (2019). MSC: 60K35 60E07 PDF BibTeX XML Cite \textit{P. Glöde} et al., Electron. J. Probab. 24, Paper No. 52, 55 p. (2019; Zbl 1467.60076) Full Text: DOI arXiv Euclid OpenURL
Arras, Benjamin; Houdré, Christian On Stein’s method for multivariate self-decomposable laws with finite first moment. (English) Zbl 1466.60027 Electron. J. Probab. 24, Paper No. 29, 33 p. (2019). MSC: 60E07 60E10 60F05 PDF BibTeX XML Cite \textit{B. Arras} and \textit{C. Houdré}, Electron. J. Probab. 24, Paper No. 29, 33 p. (2019; Zbl 1466.60027) Full Text: DOI arXiv Euclid OpenURL
Letemplier, Julien; Simon, Thomas On the law of homogeneous stable functionals. (English) Zbl 1411.60070 ESAIM, Probab. Stat. 23, 82-111 (2019). MSC: 60G51 60G52 PDF BibTeX XML Cite \textit{J. Letemplier} and \textit{T. Simon}, ESAIM, Probab. Stat. 23, 82--111 (2019; Zbl 1411.60070) Full Text: DOI arXiv OpenURL
Kieburg, Mario; Kösters, Holger Products of random matrices from polynomial ensembles. (English. French summary) Zbl 1415.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 98-126 (2019). MSC: 60B20 15B52 43A90 60B15 37H15 PDF BibTeX XML Cite \textit{M. Kieburg} and \textit{H. Kösters}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 98--126 (2019; Zbl 1415.60010) Full Text: DOI arXiv Euclid OpenURL
Vellaisamy, P.; Kumar, A. First-exit times of an inverse Gaussian process. (English) Zbl 1498.60175 Stochastics 90, No. 1, 29-48 (2018). MSC: 60G51 60G15 60G40 PDF BibTeX XML Cite \textit{P. Vellaisamy} and \textit{A. Kumar}, Stochastics 90, No. 1, 29--48 (2018; Zbl 1498.60175) Full Text: DOI arXiv OpenURL
Jayakumar, K.; Sankaran, K. K. A generalization of discrete Weibull distribution. (English) Zbl 07527159 Commun. Stat., Theory Methods 47, No. 24, 6064-6078 (2018). MSC: 62E15 62E99 62-XX PDF BibTeX XML Cite \textit{K. Jayakumar} and \textit{K. K. Sankaran}, Commun. Stat., Theory Methods 47, No. 24, 6064--6078 (2018; Zbl 07527159) Full Text: DOI OpenURL
Jedidi, Wissem; Vakeroudis, Stavros Windings of planar processes, exponential functionals and Asian options. (English) Zbl 1444.60038 Adv. Appl. Probab. 50, No. 3, 726-742 (2018). MSC: 60G51 60E07 60J65 60F05 60G40 91G80 PDF BibTeX XML Cite \textit{W. Jedidi} and \textit{S. Vakeroudis}, Adv. Appl. Probab. 50, No. 3, 726--742 (2018; Zbl 1444.60038) Full Text: DOI arXiv OpenURL
Kumar, Arun; Nane, Erkan On the infinite divisibility of distributions of some inverse subordinators. (English) Zbl 1426.60018 Mod. Stoch., Theory Appl. 5, No. 4, 509-519 (2018). MSC: 60E07 PDF BibTeX XML Cite \textit{A. Kumar} and \textit{E. Nane}, Mod. Stoch., Theory Appl. 5, No. 4, 509--519 (2018; Zbl 1426.60018) Full Text: DOI arXiv OpenURL
Ostrovsky, Dmitry A review of conjectured laws of total mass of Bacry-Muzy GMC measures on the interval and circle and their applications. (English) Zbl 1416.33003 Rev. Math. Phys. 30, No. 10, Article ID 1830003, 74 p. (2018). MSC: 33B15 60E07 60E10 60G57 82B44 PDF BibTeX XML Cite \textit{D. Ostrovsky}, Rev. Math. Phys. 30, No. 10, Article ID 1830003, 74 p. (2018; Zbl 1416.33003) Full Text: DOI arXiv OpenURL
Kopp, Christoph; Molchanov, Ilya Series representation of time-stable stochastic processes. (English) Zbl 1411.60073 Probab. Math. Stat. 38, No. 2, 299-315 (2018). MSC: 60G52 60G51 PDF BibTeX XML Cite \textit{C. Kopp} and \textit{I. Molchanov}, Probab. Math. Stat. 38, No. 2, 299--315 (2018; Zbl 1411.60073) Full Text: arXiv Link OpenURL
Dytso, Alex; Bustin, Ronit; Poor, H. Vincent; Shamai, Shlomo Analytical properties of generalized Gaussian distributions. (English) Zbl 1420.60031 J. Stat. Distrib. Appl. 5, Paper No. 6, 40 p. (2018). MSC: 60E07 62E15 60G15 PDF BibTeX XML Cite \textit{A. Dytso} et al., J. Stat. Distrib. Appl. 5, Paper No. 6, 40 p. (2018; Zbl 1420.60031) Full Text: DOI OpenURL
Roginskaya, M. M.; Shulman, V. S. On Minkowski sums of many small sets. (English. Russian original) Zbl 1423.46037 Funct. Anal. Appl. 52, No. 3, 232-235 (2018); translation from Funkts. Anal. Prilozh. 52, No. 3, 88-91 (2018). Reviewer: Carsten Schütt (Kiel) MSC: 46B99 52A07 PDF BibTeX XML Cite \textit{M. M. Roginskaya} and \textit{V. S. Shulman}, Funct. Anal. Appl. 52, No. 3, 232--235 (2018; Zbl 1423.46037); translation from Funkts. Anal. Prilozh. 52, No. 3, 88--91 (2018) Full Text: DOI OpenURL
McCullagh, Peter; Polson, Nicholas G. Statistical sparsity. (English) Zbl 06994536 Biometrika 105, No. 4, 797-814 (2018). MSC: 62P10 62F10 60E10 PDF BibTeX XML Cite \textit{P. McCullagh} and \textit{N. G. Polson}, Biometrika 105, No. 4, 797--814 (2018; Zbl 06994536) Full Text: DOI arXiv OpenURL
Sreehari, M.; Sandhya, E.; Mohamed Akbar, V. K. Some reliability and other properties of beta-transformed random variables. (English) Zbl 1402.62242 Stoch. Qual. Control 33, No. 2, 83-92 (2018). MSC: 62N05 60E05 60E07 PDF BibTeX XML Cite \textit{M. Sreehari} et al., Stoch. Qual. Control 33, No. 2, 83--92 (2018; Zbl 1402.62242) Full Text: DOI OpenURL
Evans, Steven N.; Molchanov, Ilya Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws. (English) Zbl 1437.28005 J. Theor. Probab. 31, No. 3, 1303-1321 (2018). MSC: 28A50 28C10 60B15 60E07 PDF BibTeX XML Cite \textit{S. N. Evans} and \textit{I. Molchanov}, J. Theor. Probab. 31, No. 3, 1303--1321 (2018; Zbl 1437.28005) Full Text: DOI arXiv OpenURL
Zhang, Huiming; Tan, Kai; Li, Bo COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data. (English) Zbl 1401.60022 Front. Math. China 13, No. 4, 967-998 (2018). MSC: 60E07 60A05 62F10 PDF BibTeX XML Cite \textit{H. Zhang} et al., Front. Math. China 13, No. 4, 967--998 (2018; Zbl 1401.60022) Full Text: DOI arXiv OpenURL
Vellaisamy, Palaniappan; Maheshwari, Aditya Fractional negative binomial and Pólya processes. (English) Zbl 1410.60043 Probab. Math. Stat. 38, No. 1, 77-101 (2018). MSC: 60G22 60G51 PDF BibTeX XML Cite \textit{P. Vellaisamy} and \textit{A. Maheshwari}, Probab. Math. Stat. 38, No. 1, 77--101 (2018; Zbl 1410.60043) Full Text: arXiv Link OpenURL
Kozubowski, Tomasz J.; Podgórski, Krzysztof A generalized Sibuya distribution. (English) Zbl 1398.60028 Ann. Inst. Stat. Math. 70, No. 4, 855-887 (2018). Reviewer: Fraser Daly (Edinburgh) MSC: 60E05 60E07 60G70 62E15 62E10 PDF BibTeX XML Cite \textit{T. J. Kozubowski} and \textit{K. Podgórski}, Ann. Inst. Stat. Math. 70, No. 4, 855--887 (2018; Zbl 1398.60028) Full Text: DOI Link OpenURL
Bercovici, Hari; Nica, Alexandru; Noyes, Michael; Szpojankowski, Kamil Eta-diagonal distributions and infinite divisibility for R-diagonals. (English. French summary) Zbl 1400.46052 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 907-937 (2018). MSC: 46L54 46L53 60E07 60E10 PDF BibTeX XML Cite \textit{H. Bercovici} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 907--937 (2018; Zbl 1400.46052) Full Text: DOI arXiv Euclid OpenURL
Pakes, Anthony G. The Lambert \(W\) function, Nuttall’s integral, and the Lambert law. (English) Zbl 1391.60037 Stat. Probab. Lett. 139, 53-60 (2018). MSC: 60E07 33B30 44A10 60E10 PDF BibTeX XML Cite \textit{A. G. Pakes}, Stat. Probab. Lett. 139, 53--60 (2018; Zbl 1391.60037) Full Text: DOI OpenURL
Jurek, Zbigniew J. Remarks on compositions of some random integral mappings. (English) Zbl 1406.60029 Stat. Probab. Lett. 137, 277-282 (2018). MSC: 60E07 60H05 60B11 44A05 60B10 PDF BibTeX XML Cite \textit{Z. J. Jurek}, Stat. Probab. Lett. 137, 277--282 (2018; Zbl 1406.60029) Full Text: DOI arXiv OpenURL
Basse-O’Connor, Andreas; Nielsen, Mikkel Slot; Pedersen, Jan Equivalent martingale measures for Lévy-driven moving averages and related processes. (English) Zbl 1391.60035 Stochastic Processes Appl. 128, No. 8, 2538-2556 (2018). MSC: 60E07 60G10 60G51 60G57 60H05 PDF BibTeX XML Cite \textit{A. Basse-O'Connor} et al., Stochastic Processes Appl. 128, No. 8, 2538--2556 (2018; Zbl 1391.60035) Full Text: DOI arXiv OpenURL
Bhati, Deepesh; Joshi, Savitri Weighted geometric distribution with new characterizations of geometric distribution. (English) Zbl 1384.60048 Commun. Stat., Theory Methods 47, No. 6, 1510-1527 (2018). MSC: 60E05 62E10 PDF BibTeX XML Cite \textit{D. Bhati} and \textit{S. Joshi}, Commun. Stat., Theory Methods 47, No. 6, 1510--1527 (2018; Zbl 1384.60048) Full Text: DOI arXiv OpenURL
Arizmendi, Octavio \(k\)-divisible random variables in free probability. (English) Zbl 1386.46050 Adv. Appl. Math. 93, 1-68 (2018). MSC: 46L54 60E07 60F05 05A18 PDF BibTeX XML Cite \textit{O. Arizmendi}, Adv. Appl. Math. 93, 1--68 (2018; Zbl 1386.46050) Full Text: DOI arXiv OpenURL
Rønn-Nielsen, Anders; Vedel Jensen, Eva B. Excursion sets of infinitely divisible random fields with convolution equivalent Lévy measure. (English) Zbl 1400.60073 J. Appl. Probab. 54, No. 3, 833-851 (2017). MSC: 60G60 60E07 60D05 PDF BibTeX XML Cite \textit{A. Rønn-Nielsen} and \textit{E. B. Vedel Jensen}, J. Appl. Probab. 54, No. 3, 833--851 (2017; Zbl 1400.60073) Full Text: DOI Link OpenURL
Eisenbaum, Nathalie; Maunoury, Franck Existence conditions of permanental and multivariate negative binomial distributions. (English) Zbl 1385.60049 Ann. Probab. 45, No. 6B, 4786-4820 (2017). Reviewer: Miroslav M. Ristić (Niš) MSC: 60G15 60E05 60E07 60E10 15A15 15B48 PDF BibTeX XML Cite \textit{N. Eisenbaum} and \textit{F. Maunoury}, Ann. Probab. 45, No. 6B, 4786--4820 (2017; Zbl 1385.60049) Full Text: DOI Euclid OpenURL
Shin, Kilho On infinite divisibility of convolution and mapping kernels. (English) Zbl 1375.68098 Fundam. Inform. 152, No. 1, 87-105 (2017). MSC: 68T05 PDF BibTeX XML Cite \textit{K. Shin}, Fundam. Inform. 152, No. 1, 87--105 (2017; Zbl 1375.68098) Full Text: DOI OpenURL
Ejsmont, Wiktor; Lehner, Franz Sample variance in free probability. (English) Zbl 1384.46044 J. Funct. Anal. 273, No. 7, 2488-2520 (2017). MSC: 46L54 62E10 PDF BibTeX XML Cite \textit{W. Ejsmont} and \textit{F. Lehner}, J. Funct. Anal. 273, No. 7, 2488--2520 (2017; Zbl 1384.46044) Full Text: DOI arXiv Link OpenURL
Ismail, Mourad E. H. Inequalities for gamma and \(q\)-gamma functions of complex arguments. (English) Zbl 1371.33004 Anal. Appl., Singap. 15, No. 5, 641-651 (2017). MSC: 33B15 60E05 33D05 30A10 PDF BibTeX XML Cite \textit{M. E. H. Ismail}, Anal. Appl., Singap. 15, No. 5, 641--651 (2017; Zbl 1371.33004) Full Text: DOI OpenURL
Kuznetsov, Alexey On Dirichlet series and functional equations. (English) Zbl 1421.11073 J. Number Theory 180, 498-511 (2017). MSC: 11M41 60G51 PDF BibTeX XML Cite \textit{A. Kuznetsov}, J. Number Theory 180, 498--511 (2017; Zbl 1421.11073) Full Text: DOI arXiv OpenURL
Williams, John D. Analytic function theory for operator-valued free probability. (English) Zbl 1381.46059 J. Reine Angew. Math. 729, 119-149 (2017). MSC: 46L54 PDF BibTeX XML Cite \textit{J. D. Williams}, J. Reine Angew. Math. 729, 119--149 (2017; Zbl 1381.46059) Full Text: DOI arXiv OpenURL
Gu, Yinzheng; Skoufranis, Paul Conditionally bi-free independence for pairs of faces. (English) Zbl 1377.46046 J. Funct. Anal. 273, No. 5, 1663-1733 (2017). MSC: 46L54 46L53 60E07 60F05 PDF BibTeX XML Cite \textit{Y. Gu} and \textit{P. Skoufranis}, J. Funct. Anal. 273, No. 5, 1663--1733 (2017; Zbl 1377.46046) Full Text: DOI arXiv OpenURL
Meiners, Matthias; Mentemeier, Sebastian Solutions to complex smoothing equations. (English) Zbl 1386.60294 Probab. Theory Relat. Fields 168, No. 1-2, 199-268 (2017). Reviewer: Anatoli Mogulskii (Novosibirsk) MSC: 60J80 39B22 60E10 60G51 PDF BibTeX XML Cite \textit{M. Meiners} and \textit{S. Mentemeier}, Probab. Theory Relat. Fields 168, No. 1--2, 199--268 (2017; Zbl 1386.60294) Full Text: DOI arXiv OpenURL
Ostrovsky, Dmitry A note on moments of limit log-infinitely divisible stochastic measures of Bacry and Muzy. (English) Zbl 1373.60038 Lett. Math. Phys. 107, No. 2, 267-289 (2017). MSC: 60E07 60G57 05A10 33F10 PDF BibTeX XML Cite \textit{D. Ostrovsky}, Lett. Math. Phys. 107, No. 2, 267--289 (2017; Zbl 1373.60038) Full Text: DOI arXiv OpenURL
Eisenbaum, Nathalie Permanental vectors with nonsymmetric kernels. (English) Zbl 1375.60080 Ann. Probab. 45, No. 1, 210-224 (2017). Reviewer: Kun Soo Chang (Seoul) MSC: 60G15 60E07 60E10 15A15 PDF BibTeX XML Cite \textit{N. Eisenbaum}, Ann. Probab. 45, No. 1, 210--224 (2017; Zbl 1375.60080) Full Text: DOI arXiv Euclid OpenURL
Finlay, Richard; Seneta, Eugene A scalar-valued infinitely divisible random field with Pólya autocorrelation. (English) Zbl 1356.60081 Stat. Probab. Lett. 122, 141-146 (2017). MSC: 60G60 60E07 60G10 PDF BibTeX XML Cite \textit{R. Finlay} and \textit{E. Seneta}, Stat. Probab. Lett. 122, 141--146 (2017; Zbl 1356.60081) Full Text: DOI OpenURL
Bhatti, T.; Kern, P. An integral representation of dilatively stable processes with independent increments. (English) Zbl 1353.60049 Stochastic Processes Appl. 127, No. 1, 209-227 (2017). MSC: 60H05 60G51 60G52 60G18 PDF BibTeX XML Cite \textit{T. Bhatti} and \textit{P. Kern}, Stochastic Processes Appl. 127, No. 1, 209--227 (2017; Zbl 1353.60049) Full Text: DOI arXiv OpenURL
Maunoury, Franck Necessary and sufficient conditions for the existence of \(\alpha\)-determinantal processes. (English) Zbl 1367.60059 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLVIII. Cham: Springer (ISBN 978-3-319-44464-2/pbk; 978-3-319-44465-9/ebook). Lecture Notes in Mathematics 2168. Séminaire de Probabilités, 423-444 (2016). MSC: 60G55 60E07 PDF BibTeX XML Cite \textit{F. Maunoury}, Lect. Notes Math. 2168, 423--444 (2016; Zbl 1367.60059) Full Text: DOI arXiv OpenURL
Eisenbaum, Nathalie Permanental vectors and selfdecomposability. (English) Zbl 1355.60048 Houdré, Christian (ed.) et al., High dimensional probability VII. The Cargèse volume. Selected papers based on the presentations at the 7th conference, HDP VII, Institut d’Études Scientifiques de Cargèse, IESC, Fance, May 26–30, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40517-9/hbk; 978-3-319-40519-3/ebook). Progress in Probability 71, 359-362 (2016). MSC: 60G15 60E07 PDF BibTeX XML Cite \textit{N. Eisenbaum}, Prog. Probab. 71, 359--362 (2016; Zbl 1355.60048) Full Text: DOI OpenURL
Ostrovsky, Dmitry On Barnes beta distributions and applications to the maximum distribution of the 2D Gaussian free field. (English) Zbl 1351.60019 J. Stat. Phys. 164, No. 6, 1292-1317 (2016). MSC: 60E07 60G15 60E05 PDF BibTeX XML Cite \textit{D. Ostrovsky}, J. Stat. Phys. 164, No. 6, 1292--1317 (2016; Zbl 1351.60019) Full Text: DOI arXiv OpenURL
Jurek, Zbigniew J. On a method of introducing free-infinitely divisible probability measures. (English) Zbl 1386.60021 Demonstr. Math. 49, No. 2, 236-251 (2016). MSC: 60B15 60E07 60H05 60B11 44A05 60B10 PDF BibTeX XML Cite \textit{Z. J. Jurek}, Demonstr. Math. 49, No. 2, 236--251 (2016; Zbl 1386.60021) Full Text: DOI arXiv OpenURL
Jose, K. K.; Mariyamma, K. D. A note on an integer valued time series model with Poisson-negative binomial marginal distribution. (English) Zbl 1343.62060 Commun. Stat., Theory Methods 45, No. 1, 123-131 (2016). MSC: 62M10 62M15 PDF BibTeX XML Cite \textit{K. K. Jose} and \textit{K. D. Mariyamma}, Commun. Stat., Theory Methods 45, No. 1, 123--131 (2016; Zbl 1343.62060) Full Text: DOI OpenURL
Hasebe, Takahiro Free infinite divisibility for powers of random variables. (English) Zbl 1357.46060 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 309-336 (2016). MSC: 46L54 60E07 PDF BibTeX XML Cite \textit{T. Hasebe}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 309--336 (2016; Zbl 1357.46060) Full Text: arXiv Link OpenURL
del Castillo, J. M. Slash distributions of the sum of independent logistic random variables. (English) Zbl 1382.60033 Stat. Probab. Lett. 110, 111-118 (2016). MSC: 60E05 60E07 62E15 PDF BibTeX XML Cite \textit{J. M. del Castillo}, Stat. Probab. Lett. 110, 111--118 (2016; Zbl 1382.60033) Full Text: DOI OpenURL
Karp, D. B.; Prilepkina, E. G. Completely monotonic gamma ratio and infinitely divisible H-function of Fox. (English) Zbl 1334.33008 Comput. Methods Funct. Theory 16, No. 1, 135-153 (2016). MSC: 33B15 33C60 PDF BibTeX XML Cite \textit{D. B. Karp} and \textit{E. G. Prilepkina}, Comput. Methods Funct. Theory 16, No. 1, 135--153 (2016; Zbl 1334.33008) Full Text: DOI arXiv OpenURL
Ostrovsky, Dmitry On Riemann zeroes, lognormal multiplicative chaos, and Selberg integral. (English) Zbl 1412.11097 Nonlinearity 29, No. 2, 426-464 (2016). MSC: 11M26 33B15 60E07 60G15 60G57 PDF BibTeX XML Cite \textit{D. Ostrovsky}, Nonlinearity 29, No. 2, 426--464 (2016; Zbl 1412.11097) Full Text: DOI arXiv OpenURL
Ouyang, Shun-Xiang; Röckner, Michael Time inhomogeneous generalized Mehler semigroups and skew convolution equations. (English) Zbl 1348.60117 Forum Math. 28, No. 2, 339-376 (2016). MSC: 60J60 60J75 47D07 PDF BibTeX XML Cite \textit{S.-X. Ouyang} and \textit{M. Röckner}, Forum Math. 28, No. 2, 339--376 (2016; Zbl 1348.60117) Full Text: DOI Link OpenURL
Jasiulis-Gołdyn, B. H.; Misiewicz, J. K. Weak Lévy-Khintchine representation for weak infinite divisibility. (English) Zbl 1331.60032 Theory Probab. Appl. 60, No. 1, 45-61 (2016) and Teor. Veroyatn. Primen. 60, No. 1, 131-149 (2015). MSC: 60E07 PDF BibTeX XML Cite \textit{B. H. Jasiulis-Gołdyn} and \textit{J. K. Misiewicz}, Theory Probab. Appl. 60, No. 1, 45--61 (2016; Zbl 1331.60032) Full Text: DOI arXiv OpenURL
Arizmendi, Octavio; Hasebe, Takahiro Classical scale mixtures of Boolean stable laws. (English) Zbl 1351.46063 Trans. Am. Math. Soc. 368, No. 7, 4873-4905 (2016). MSC: 46L54 60E07 PDF BibTeX XML Cite \textit{O. Arizmendi} and \textit{T. Hasebe}, Trans. Am. Math. Soc. 368, No. 7, 4873--4905 (2016; Zbl 1351.46063) Full Text: DOI arXiv Link OpenURL
Ostrovsky, Dmitry On Barnes beta distributions, Selberg integral and Riemann xi. (English) Zbl 1334.11067 Forum Math. 28, No. 1, 1-23 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 11M06 40A20 60G57 PDF BibTeX XML Cite \textit{D. Ostrovsky}, Forum Math. 28, No. 1, 1--23 (2016; Zbl 1334.11067) Full Text: DOI arXiv OpenURL
Lolli, Gabriele Metamathematical investigations on the theory of grossone. (English) Zbl 1338.03118 Appl. Math. Comput. 255, 3-14 (2015). MSC: 03H05 PDF BibTeX XML Cite \textit{G. Lolli}, Appl. Math. Comput. 255, 3--14 (2015; Zbl 1338.03118) Full Text: DOI OpenURL
Veraart, Almut E. D. Stationary and multi-self-similar random fields with stochastic volatility. (English) Zbl 1337.60104 Stochastics 87, No. 5, 848-870 (2015). MSC: 60G60 60G10 60G18 60G51 60H15 PDF BibTeX XML Cite \textit{A. E. D. Veraart}, Stochastics 87, No. 5, 848--870 (2015; Zbl 1337.60104) Full Text: DOI arXiv OpenURL
Pego, Robert L. Nonlinear dynamics of three solvable aggregation models. (English) Zbl 1335.82021 Ei, Shin-Ichiro (ed.) et al., Nonlinear dynamics in partial differential equations. Proceedings of the 4th MSJ-SI international conference, Kyushu, Japan, September 12–21, 2011. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-022-8/hbk). Advanced Studies in Pure Mathematics 64, 35-59 (2015). MSC: 82C22 76B25 PDF BibTeX XML Cite \textit{R. L. Pego}, Adv. Stud. Pure Math. 64, 35--59 (2015; Zbl 1335.82021) OpenURL