Beśka, Marek Gebelein inequality in a Hilbert space. (English) Zbl 07878419 Appl. Math. 50, No. 2, 149-166 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60B11 60B12 60F05 46G12 28C20 PDFBibTeX XMLCite \textit{M. Beśka}, Appl. Math. 50, No. 2, 149--166 (2023; Zbl 07878419) Full Text: DOI
Fonseca-Mora, C. A. Almost sure uniform convergence of stochastic processes in the dual of a nuclear space. (English) Zbl 1527.60004 J. Theor. Probab. 36, No. 4, 2564-2589 (2023). MSC: 60B11 60G17 60G20 PDFBibTeX XMLCite \textit{C. A. Fonseca-Mora}, J. Theor. Probab. 36, No. 4, 2564--2589 (2023; Zbl 1527.60004) Full Text: DOI arXiv
Blower, Gordon Transportation on spheres via an entropy formula. (English) Zbl 1522.60016 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1467-1478 (2023). MSC: 60B11 60E15 28C20 PDFBibTeX XMLCite \textit{G. Blower}, Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1467--1478 (2023; Zbl 1522.60016) Full Text: DOI arXiv OA License
Khare, Apoorva; Rajaratnam, Bala The Khinchin-Kahane and Lévy inequalities for abelian metric groups, and transfer from normed (abelian semi)groups to Banach spaces. (English) Zbl 1527.60005 J. Math. Anal. Appl. 528, No. 2, Article ID 127545, 18 p. (2023). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 46B09 PDFBibTeX XMLCite \textit{A. Khare} and \textit{B. Rajaratnam}, J. Math. Anal. Appl. 528, No. 2, Article ID 127545, 18 p. (2023; Zbl 1527.60005) Full Text: DOI arXiv
Hinrichs, Benjamin; Janssen, Daan W.; Ziebell, Jobst Super-Gaussian decay of exponentials: a sufficient condition. (English) Zbl 1539.60004 J. Math. Anal. Appl. 528, No. 1, Article ID 127558, 18 p. (2023). MSC: 60B11 60G15 PDFBibTeX XMLCite \textit{B. Hinrichs} et al., J. Math. Anal. Appl. 528, No. 1, Article ID 127558, 18 p. (2023; Zbl 1539.60004) Full Text: DOI arXiv OA License
Fraiman, Ricardo; Moreno, Leonardo; Ransford, Thomas A Cramér-Wold theorem for elliptical distributions. (English) Zbl 1520.60002 J. Multivariate Anal. 196, Article ID 105176, 13 p. (2023). MSC: 60B11 60E10 62H15 PDFBibTeX XMLCite \textit{R. Fraiman} et al., J. Multivariate Anal. 196, Article ID 105176, 13 p. (2023; Zbl 1520.60002) Full Text: DOI arXiv
Al Hayek, Nour; Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei Some results concerning ideal and classical uniform integrability and mean convergence. (English) Zbl 1505.60008 Collect. Math. 74, No. 1, 1-25 (2023). MSC: 60B11 60F25 PDFBibTeX XMLCite \textit{N. Al Hayek} et al., Collect. Math. 74, No. 1, 1--25 (2023; Zbl 1505.60008) Full Text: DOI
Fonseca-Mora, C. A. Convergence Uniform on Compacts in Probability with Applications to Stochastic Analysis in Duals of Nuclear Spaces. arXiv:2303.17082 Preprint, arXiv:2303.17082 [math.PR] (2023). MSC: 60B11 60G48 60H05 60H15 BibTeX Cite \textit{C. A. Fonseca-Mora}, ``Convergence Uniform on Compacts in Probability with Applications to Stochastic Analysis in Duals of Nuclear Spaces'', Preprint, arXiv:2303.17082 [math.PR] (2023) Full Text: arXiv OA License
Han, Qi; Kou, Ya Xin; Han, Ya Nan; Lu, Zi Qiang Quantum decomposition of random variables and asymptotic spectral distribution of growing graphs. (Chinese. English summary) Zbl 07821972 Acta Math. Sin., Chin. Ser. 65, No. 4, 657-664 (2022). MSC: 60B11 60B15 05C80 46L53 PDFBibTeX XMLCite \textit{Q. Han} et al., Acta Math. Sin., Chin. Ser. 65, No. 4, 657--664 (2022; Zbl 07821972) Full Text: DOI
Bru, Bernard; Eid, Salah Counterexamples to abstract probability: ten letters by Jessen, Doob and Dieudonné. (English) Zbl 1523.60016 Mazliak, Laurent (ed.) et al., The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. Trends Hist. Sci., 361-373 (2022). MSC: 60B11 60-03 01A60 PDFBibTeX XMLCite \textit{B. Bru} and \textit{S. Eid}, in: The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. 361--373 (2022; Zbl 1523.60016) Full Text: DOI
Shrahili, Mansour; Kayid, Mohamed Characterizations of probability distribution by some sequential relative reliability measures: an application of completeness in a Hilbert space. (English) Zbl 1498.60023 J. Funct. Spaces 2022, Article ID 8151159, 10 p. (2022). MSC: 60B11 60E10 46C05 PDFBibTeX XMLCite \textit{M. Shrahili} and \textit{M. Kayid}, J. Funct. Spaces 2022, Article ID 8151159, 10 p. (2022; Zbl 1498.60023) Full Text: DOI OA License
Shu, Felix Che; Ndambomve, Patrice On existence and controllability results for some cylindrical stochastic integro-differential equations in Fréchet spaces. (English) Zbl 1513.60007 Discuss. Math., Differ. Incl. Control Optim. 41, No. 1, 19-38 (2021). MSC: 60B11 93B05 PDFBibTeX XMLCite \textit{F. C. Shu} and \textit{P. Ndambomve}, Discuss. Math., Differ. Incl. Control Optim. 41, No. 1, 19--38 (2021; Zbl 1513.60007) Full Text: DOI
Tripathy, Binod Chandra; Sen, Mausumi; Nath, Soumitra On generalized difference ideal convergence in generalized probabilistic \(n\)-normed spaces. (English) Zbl 1490.60015 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 29-34 (2021). MSC: 60B11 46A45 40A35 54E70 PDFBibTeX XMLCite \textit{B. C. Tripathy} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 29--34 (2021; Zbl 1490.60015) Full Text: DOI
Selk, Zachary; Haskell, William; Honnappa, Harsha Information projection on Banach spaces with applications to state independent KL-weighted optimal control. (English) Zbl 1480.60005 Appl. Math. Optim. 84, Suppl. 1, S805-S835 (2021). MSC: 60B11 49K05 60G15 60H07 90B22 PDFBibTeX XMLCite \textit{Z. Selk} et al., Appl. Math. Optim. 84, S805--S835 (2021; Zbl 1480.60005) Full Text: DOI arXiv
Klebanov, Ilja; Sprungk, Björn; Sullivan, T. J. The linear conditional expectation in Hilbert space. (English) Zbl 1469.60016 Bernoulli 27, No. 4, 2267-2299 (2021). MSC: 60B11 62F15 62G05 PDFBibTeX XMLCite \textit{I. Klebanov} et al., Bernoulli 27, No. 4, 2267--2299 (2021; Zbl 1469.60016) Full Text: DOI arXiv
Baldi, Paolo Intermediate spaces, Gaussian probabilities and exponential tightness. (English) Zbl 1468.60008 Ann. Mat. Pura Appl. (4) 200, No. 6, 2785-2796 (2021). MSC: 60B11 60F10 60G15 PDFBibTeX XMLCite \textit{P. Baldi}, Ann. Mat. Pura Appl. (4) 200, No. 6, 2785--2796 (2021; Zbl 1468.60008) Full Text: DOI arXiv OA License
Zheng, Yifei; Selk, Zachary Banach Intermediate Spaces for Gaussian Fréchet Spaces. arXiv:2107.09440 Preprint, arXiv:2107.09440 [math.FA] (2021). MSC: 60B11 46G12 28C20 BibTeX Cite \textit{Y. Zheng} and \textit{Z. Selk}, ``Banach Intermediate Spaces for Gaussian Fréchet Spaces'', Preprint, arXiv:2107.09440 [math.FA] (2021) Full Text: arXiv OA License
Yaroslavtsev, Ivan Why stochastics? And why in Banach spaces? – epidemic example. (English) Zbl 1502.60003 Nieuw Arch. Wiskd. (5) 21, No. 4, 245-250 (2020). MSC: 60B11 92D30 01A70 PDFBibTeX XMLCite \textit{I. Yaroslavtsev}, Nieuw Arch. Wiskd. (5) 21, No. 4, 245--250 (2020; Zbl 1502.60003) Full Text: Link
Bogachev, V. I.; Kosov, E. D.; Popova, S. N. Densities of distributions of homogeneous functions of Gaussian random vectors. (English. Russian original) Zbl 1492.60009 Dokl. Math. 102, No. 3, 460-463 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 17-21 (2020). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60B11 28A20 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 102, No. 3, 460--463 (2020; Zbl 1492.60009); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 17--21 (2020) Full Text: DOI
Giorgobiani, George; Kvaratskhelia, Vakhtang; Tarieladze, Vaja Notes on sub-Gaussian random elements. (English) Zbl 1469.60015 Jaiani, George (ed.) et al., Applications of mathematics and informatics in natural sciences and engineering, AMINSE 2019. Selected papers based on the presentations at the 4th conference, Tbilisi, Georgia, September 23–26, 2019. Cham: Springer. Springer Proc. Math. Stat. 334, 197-203 (2020). MSC: 60B11 PDFBibTeX XMLCite \textit{G. Giorgobiani} et al., Springer Proc. Math. Stat. 334, 197--203 (2020; Zbl 1469.60015) Full Text: DOI
Fonseca-Mora, Christian A. Regularization of cylindrical processes in locally convex spaces. (English) Zbl 1457.60006 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050027, 22 p. (2020). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60B11 60G20 60G17 60G51 PDFBibTeX XMLCite \textit{C. A. Fonseca-Mora}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050027, 22 p. (2020; Zbl 1457.60006) Full Text: DOI arXiv
Mamporia, Badri; Purtukhia, Omar Banach space valued functionals of the Wiener process. (English) Zbl 1454.60008 Trans. A. Razmadze Math. Inst. 174, No. 2, 207-216 (2020). MSC: 60B11 60H05 60H07 PDFBibTeX XMLCite \textit{B. Mamporia} and \textit{O. Purtukhia}, Trans. A. Razmadze Math. Inst. 174, No. 2, 207--216 (2020; Zbl 1454.60008) Full Text: Link
Bally, Vlad; Caramellino, Lucia; Poly, Guillaume Regularization lemmas and convergence in total variation. (English) Zbl 1444.60009 Electron. J. Probab. 25, Paper No. 74, 20 p. (2020). MSC: 60B11 60H07 60J60 PDFBibTeX XMLCite \textit{V. Bally} et al., Electron. J. Probab. 25, Paper No. 74, 20 p. (2020; Zbl 1444.60009) Full Text: DOI arXiv Euclid
Smirnov, S. N. A Feller transition kernel with measure supports given by a set-valued mapping. (English. Russian original) Zbl 1448.60011 Proc. Steklov Inst. Math. 308, Suppl. 1, 188-195 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 1, 219-228 (2019). Reviewer: Małgorzata Terepeta (Łódź) MSC: 60B11 54C60 PDFBibTeX XMLCite \textit{S. N. Smirnov}, Proc. Steklov Inst. Math. 308, 188--195 (2020; Zbl 1448.60011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 1, 219--228 (2019) Full Text: DOI
Fonseca-Mora, C. A. Lévy processes and infinitely divisible measures in the dual of a nuclear space. (English) Zbl 1450.60004 J. Theor. Probab. 33, No. 2, 649-691 (2020). Reviewer: Weiping Li (Stillwater) MSC: 60B11 60G51 60E07 60G20 PDFBibTeX XMLCite \textit{C. A. Fonseca-Mora}, J. Theor. Probab. 33, No. 2, 649--691 (2020; Zbl 1450.60004) Full Text: DOI arXiv
Cho, Ilwoo; Dutta, Hemen Free Poisson elements induced by semicircular elements from analysis on \(p\)-adic number fields \(\mathbb{Q}_p\) over primes \(p\). (English) Zbl 1439.60007 J. Ramanujan Math. Soc. 35, No. 1, 35-69 (2020). MSC: 60B11 46S10 PDFBibTeX XMLCite \textit{I. Cho} and \textit{H. Dutta}, J. Ramanujan Math. Soc. 35, No. 1, 35--69 (2020; Zbl 1439.60007) Full Text: Link
El Harami, Mohamed Conditional expectation of Pettis integrable unbounded random sets. (English) Zbl 1455.60010 J. Korean Math. Soc. 57, No. 2, 359-381 (2020). MSC: 60B11 28C20 PDFBibTeX XMLCite \textit{M. El Harami}, J. Korean Math. Soc. 57, No. 2, 359--381 (2020; Zbl 1455.60010) Full Text: DOI
Cabrera, Manuel Ordóñez; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements. (English) Zbl 1440.60009 J. Math. Anal. Appl. 487, No. 1, Article ID 123975, 17 p. (2020). MSC: 60B11 60B12 60F05 46B09 PDFBibTeX XMLCite \textit{M. O. Cabrera} et al., J. Math. Anal. Appl. 487, No. 1, Article ID 123975, 17 p. (2020; Zbl 1440.60009) Full Text: DOI
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy Sums of independent and freely independent identically distributed random variables. (English) Zbl 1471.60009 Stud. Math. 251, No. 3, 289-315 (2020). MSC: 60B11 46L52 46L53 47A30 60G42 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Stud. Math. 251, No. 3, 289--315 (2020; Zbl 1471.60009) Full Text: DOI
Kemp, Gordon C. R. Uniform convergence in extended probability of sub-gradients of convex functions. (English) Zbl 1431.60005 Econ. Lett. 188, Article ID 108809, 4 p. (2020). MSC: 60B11 60F05 PDFBibTeX XMLCite \textit{G. C. R. Kemp}, Econ. Lett. 188, Article ID 108809, 4 p. (2020; Zbl 1431.60005) Full Text: DOI Link
Mamporia, Badri; Purtukhia, Omar Banach space valued functionals of the one dimensional Wiener process. (English) Zbl 1513.60006 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 33, 47-50 (2019). MSC: 60B11 60H05 PDFBibTeX XMLCite \textit{B. Mamporia} and \textit{O. Purtukhia}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 33, 47--50 (2019; Zbl 1513.60006) Full Text: Link
Simpson, Gideon; Watkins, Daniel Relative entropy minimization over Hilbert spaces via Robbins-Monro. (English) Zbl 1484.60003 AIMS Math. 4, No. 3, 359-383 (2019). MSC: 60B11 60G15 62L20 65K10 90C15 90C90 PDFBibTeX XMLCite \textit{G. Simpson} and \textit{D. Watkins}, AIMS Math. 4, No. 3, 359--383 (2019; Zbl 1484.60003) Full Text: DOI arXiv OA License
Bay, Xavier; Croix, Jean-Charles Karhunen-Loève decomposition of Gaussian measures on Banach spaces. (English) Zbl 1434.60013 Probab. Math. Stat. 39, No. 2, 279-297 (2019). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60B12 28C20 PDFBibTeX XMLCite \textit{X. Bay} and \textit{J.-C. Croix}, Probab. Math. Stat. 39, No. 2, 279--297 (2019; Zbl 1434.60013) Full Text: DOI arXiv
Feldman, Gennadiy M.; Myronyuk, Margaryta V. On a characterization theorem on non-discrete totally disconnected locally compact fields. (English) Zbl 1449.60005 Publ. Math. Debr. 95, No. 3-4, 363-376 (2019). MSC: 60B11 62E10 43A05 PDFBibTeX XMLCite \textit{G. M. Feldman} and \textit{M. V. Myronyuk}, Publ. Math. Debr. 95, No. 3--4, 363--376 (2019; Zbl 1449.60005) Full Text: DOI
Ishi, Hideyuki; Kołodziejek, Bartosz Characterization of the Riesz exponential family on homogeneous cones. (English) Zbl 1436.60015 Colloq. Math. 158, No. 1, 45-57 (2019). MSC: 60B11 62E10 PDFBibTeX XMLCite \textit{H. Ishi} and \textit{B. Kołodziejek}, Colloq. Math. 158, No. 1, 45--57 (2019; Zbl 1436.60015) Full Text: DOI arXiv
Götze, Friedrich; Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir Large ball probabilities, Gaussian comparison and anti-concentration. (English) Zbl 1428.62187 Bernoulli 25, No. 4A, 2538-2563 (2019). MSC: 60B11 60E15 60F05 PDFBibTeX XMLCite \textit{F. Götze} et al., Bernoulli 25, No. 4A, 2538--2563 (2019; Zbl 1428.62187) Full Text: DOI arXiv Euclid
Thanh, L. V.; Thuy, N. T. Necessary and sufficient conditions for complete convergence of double weighted sums of pairwise independent identically distributed random elements in Banach spaces. (English) Zbl 1438.60005 Acta Math. Hung. 157, No. 2, 312-326 (2019). Reviewer: Ludwig Paditz (Dresden) MSC: 60B11 60B12 60F15 PDFBibTeX XMLCite \textit{L. V. Thanh} and \textit{N. T. Thuy}, Acta Math. Hung. 157, No. 2, 312--326 (2019; Zbl 1438.60005) Full Text: DOI
Lee, Yuh-Jia; Shih, Hsin-Hung An analytic version of Wiener-Itô decomposition on abstract Wiener spaces. (English) Zbl 1427.60010 Taiwanese J. Math. 23, No. 2, 453-471 (2019). MSC: 60B11 46E20 46E50 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{H.-H. Shih}, Taiwanese J. Math. 23, No. 2, 453--471 (2019; Zbl 1427.60010) Full Text: DOI Euclid
Hien, Nguyen Thi Thanh; Thanh, Le Van; Van, Vo Thi Hong On the negative dependence in Hilbert spaces with applications. (English) Zbl 1524.60017 Appl. Math., Praha 64, No. 1, 45-59 (2019). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60B12 60F15 PDFBibTeX XMLCite \textit{N. T. T. Hien} et al., Appl. Math., Praha 64, No. 1, 45--59 (2019; Zbl 1524.60017) Full Text: DOI
Szumera, Agnieszka Probabilistic regression structures. (English) Zbl 1538.60006 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 3, 21-38 (2018). MSC: 60B11 62J99 PDFBibTeX XMLCite \textit{A. Szumera}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 3, 21--38 (2018; Zbl 1538.60006) Full Text: DOI
Chojnowska-Michalik, Anna; Paszkiewicz, Adam On conditionings of tending to zero sequences of random vectors in Banach spaces. (English) Zbl 1538.60005 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 3, 11-19 (2018). MSC: 60B11 60F15 PDFBibTeX XMLCite \textit{A. Chojnowska-Michalik} and \textit{A. Paszkiewicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 3, 11--19 (2018; Zbl 1538.60005) Full Text: DOI
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew A probability inequality for sums of independent Banach space valued random variables. (English) Zbl 1498.60022 Stochastics 90, No. 2, 214-223 (2018). MSC: 60B11 60E15 60F05 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastics 90, No. 2, 214--223 (2018; Zbl 1498.60022) Full Text: DOI arXiv
Son, Ta Cong; Thang, Dang Hung; Dung, Le Van On convergence of moving average series of martingale differences fields taking values in Banach spaces. (English) Zbl 1511.60010 Commun. Stat., Theory Methods 47, No. 22, 5590-5603 (2018). MSC: 60B11 60B12 60F15 60G42 60G60 PDFBibTeX XMLCite \textit{T. C. Son} et al., Commun. Stat., Theory Methods 47, No. 22, 5590--5603 (2018; Zbl 1511.60010) Full Text: DOI
Gagné, Nicolas; Panangaden, Prakash A categorical characterization of relative entropy on standard Borel spaces. (English) Zbl 1525.60011 Silva, Alexandra (ed.), Proceedings of the 33rd conference on the mathematical foundations of programming semantics (MFPS XXXIII), Ljubljana, Slovenia, June 12–15, 2017. Amsterdam: Elsevier. Electron. Notes Theor. Comput. Sci. 336, 135-153 (2018). MSC: 60B11 18C99 94A17 PDFBibTeX XMLCite \textit{N. Gagné} and \textit{P. Panangaden}, Electron. Notes Theor. Comput. Sci. 336, 135--153 (2018; Zbl 1525.60011) Full Text: DOI arXiv
Mamporia, Badri; Purtukhia, Omar On functionals of the Wiener process in a Banach space. (English) Zbl 1419.60006 Trans. A. Razmadze Math. Inst. 172, No. 3, Part A, 420-428 (2018). MSC: 60B11 46B20 PDFBibTeX XMLCite \textit{B. Mamporia} and \textit{O. Purtukhia}, Trans. A. Razmadze Math. Inst. 172, No. 3, Part A, 420--428 (2018; Zbl 1419.60006) Full Text: DOI OA License
Belyaev, A. A.; Smolyanov, O. G. Distributions and analytical measures on infinite-dimensional spaces. (English. Russian original) Zbl 1420.60002 Dokl. Math. 98, No. 3, 541-544 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 1, 7-10 (2018). MSC: 60B11 PDFBibTeX XMLCite \textit{A. A. Belyaev} and \textit{O. G. Smolyanov}, Dokl. Math. 98, No. 3, 541--544 (2018; Zbl 1420.60002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 1, 7--10 (2018) Full Text: DOI
van Handel, Ramon Chaining, interpolation, and convexity. (English) Zbl 1428.60011 J. Eur. Math. Soc. (JEMS) 20, No. 10, 2413-2435 (2018). MSC: 60B11 46B20 60G15 PDFBibTeX XMLCite \textit{R. van Handel}, J. Eur. Math. Soc. (JEMS) 20, No. 10, 2413--2435 (2018; Zbl 1428.60011) Full Text: DOI arXiv
Fonseca-Mora, C. A. Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space. (English) Zbl 1405.60005 J. Theor. Probab. 31, No. 2, 867-894 (2018). MSC: 60B11 60G20 60G17 28C20 PDFBibTeX XMLCite \textit{C. A. Fonseca-Mora}, J. Theor. Probab. 31, No. 2, 867--894 (2018; Zbl 1405.60005) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Song, Myung-Sin Infinite-dimensional measure spaces and frame analysis. (English) Zbl 1405.60006 Acta Appl. Math. 155, No. 1, 41-56 (2018). MSC: 60B11 42C15 28C20 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, Acta Appl. Math. 155, No. 1, 41--56 (2018; Zbl 1405.60006) Full Text: DOI arXiv
van Handel, Ramon Chaining, interpolation and convexity II: the contraction principle. (English) Zbl 1402.60006 Ann. Probab. 46, No. 3, 1764-1805 (2018). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60G15 41A46 46B20 46B70 PDFBibTeX XMLCite \textit{R. van Handel}, Ann. Probab. 46, No. 3, 1764--1805 (2018; Zbl 1402.60006) Full Text: DOI arXiv Euclid
Pellegrino, Daniel; Santos, Djair; Santos, Joedson Optimal blow up rate for the constants of Khinchin type inequalities. (English) Zbl 1391.60008 Quaest. Math. 41, No. 3, 303-318 (2018). MSC: 60B11 46B09 PDFBibTeX XMLCite \textit{D. Pellegrino} et al., Quaest. Math. 41, No. 3, 303--318 (2018; Zbl 1391.60008) Full Text: DOI arXiv
Bongiorno, Enea G.; Goia, Aldo Corrections on: “Some insights about the small ball probability factorization for Hilbert random elements”. (English) Zbl 1410.60008 Stat. Sin. 28, No. 1, 549 (2018). MSC: 60B11 62H25 PDFBibTeX XMLCite \textit{E. G. Bongiorno} and \textit{A. Goia}, Stat. Sin. 28, No. 1, 549 (2018; Zbl 1410.60008)
Benth, Fred Espen; Rüdiger, Barbara; Süss, Andre Ornstein-Uhlenbeck processes in Hilbert space with non-Gaussian stochastic volatility. (English) Zbl 1380.60010 Stochastic Processes Appl. 128, No. 2, 461-486 (2018). MSC: 60B11 60G51 60H30 60H15 PDFBibTeX XMLCite \textit{F. E. Benth} et al., Stochastic Processes Appl. 128, No. 2, 461--486 (2018; Zbl 1380.60010) Full Text: DOI arXiv
Jirak, Moritz Rate of convergence for Hilbert space valued processes. (English) Zbl 1383.60008 Bernoulli 24, No. 1, 202-230 (2018). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60F05 60G10 PDFBibTeX XMLCite \textit{M. Jirak}, Bernoulli 24, No. 1, 202--230 (2018; Zbl 1383.60008) Full Text: DOI arXiv Euclid
Prakasa Rao, B. L. S. Characterization of probability measures on Hilbert spaces via \(Q\)-independence. (English) Zbl 1462.60004 J. Indian Stat. Assoc. 55, No. 2, 201-212 (2017). MSC: 60B11 62E10 PDFBibTeX XMLCite \textit{B. L. S. Prakasa Rao}, J. Indian Stat. Assoc. 55, No. 2, 201--212 (2017; Zbl 1462.60004) Full Text: Link
Bongiorno, Enea G.; Goia, Aldo Some insights about the small ball probability factorization for Hilbert random elements. (English) Zbl 1392.60008 Stat. Sin. 27, No. 4, 1949-1965 (2017); correction ibid. 28, No. 1, 549 (2018). MSC: 60B11 62H25 PDFBibTeX XMLCite \textit{E. G. Bongiorno} and \textit{A. Goia}, Stat. Sin. 27, No. 4, 1949--1965 (2017; Zbl 1392.60008) Full Text: DOI arXiv
Prakasa Rao, B. L. S. Chebyshev’s inequality for Hilbert-space valued random elements with estimated mean and covariance. (English) Zbl 1386.60019 Commun. Stat., Theory Methods 46, No. 19, 9407-9414 (2017). MSC: 60B11 60E15 PDFBibTeX XMLCite \textit{B. L. S. Prakasa Rao}, Commun. Stat., Theory Methods 46, No. 19, 9407--9414 (2017; Zbl 1386.60019) Full Text: DOI
Lototsky, S. V. Small ball probabilities for the infinite-dimensional Ornstein-Uhlenbeck process in Sobolev spaces. (English) Zbl 1370.60008 Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 2, 192-219 (2017). MSC: 60B11 60H15 60J60 60G15 PDFBibTeX XMLCite \textit{S. V. Lototsky}, Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 2, 192--219 (2017; Zbl 1370.60008) Full Text: DOI arXiv
Hassairi, A.; Masmoudi, M. A.; Regaig, O. Beta-hypergeometric probability distribution on symmetric matrices. (English) Zbl 1366.60006 Adv. Appl. Math. 89, 184-199 (2017). MSC: 60B11 60B15 60B20 PDFBibTeX XMLCite \textit{A. Hassairi} et al., Adv. Appl. Math. 89, 184--199 (2017; Zbl 1366.60006) Full Text: DOI arXiv
Sen, Mausumi; Nath, Soumitra; Tripathy, Binod Chandra Best approximation in quotient probabilistic normed space. (English) Zbl 1373.60009 J. Appl. Anal. 23, No. 1, 53-57 (2017). MSC: 60B11 28C10 40A05 60B10 PDFBibTeX XMLCite \textit{M. Sen} et al., J. Appl. Anal. 23, No. 1, 53--57 (2017; Zbl 1373.60009) Full Text: DOI
Arutyunyan, L. M. Absolute continuity of distributions of polynomials on spaces with log-concave measures. (English. Russian original) Zbl 1373.60008 Math. Notes 101, No. 1, 31-38 (2017); translation from Mat. Zametki 100, No. 5, 672-681 (2016). MSC: 60B11 60G30 PDFBibTeX XMLCite \textit{L. M. Arutyunyan}, Math. Notes 101, No. 1, 31--38 (2017; Zbl 1373.60008); translation from Mat. Zametki 100, No. 5, 672--681 (2016) Full Text: DOI
Parker, R.; Rosalsky, A. On complete convergence in mean for double sums of independent random elements in Banach spaces. (English) Zbl 1386.60018 Lobachevskii J. Math. 38, No. 1, 177-191 (2017). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60B12 60F15 60F25 40B05 PDFBibTeX XMLCite \textit{R. Parker} and \textit{A. Rosalsky}, Lobachevskii J. Math. 38, No. 1, 177--191 (2017; Zbl 1386.60018) Full Text: DOI
Akhlil, Khalid Infinite dimensional reflecting Ornstein-Uhlenbeck stochastic process on non-convex open sets. (English. French summary) Zbl 1370.60007 Afr. Stat. 12, No. 1, 1117-1146 (2017). MSC: 60B11 60G15 60J60 PDFBibTeX XMLCite \textit{K. Akhlil}, Afr. Stat. 12, No. 1, 1117--1146 (2017; Zbl 1370.60007) Full Text: arXiv Euclid
Parvardeh, A.; Mohammadi Jouzdani, N.; Mahmoodi, S.; Soltani, A. R. First order autoregressive periodically correlated model in Banach spaces: existence and central limit theorem. (English) Zbl 1375.60016 J. Math. Anal. Appl. 449, No. 1, 756-768 (2017). MSC: 60B11 60F05 46B09 PDFBibTeX XMLCite \textit{A. Parvardeh} et al., J. Math. Anal. Appl. 449, No. 1, 756--768 (2017; Zbl 1375.60016) Full Text: DOI
Thanh, L. V.; Thuy, N. T. On complete convergence in mean for double sums of independent random elements in Banach spaces. (English) Zbl 1399.60007 Acta Math. Hung. 150, No. 2, 456-471 (2016). MSC: 60B11 60B12 60F15 60F25 PDFBibTeX XMLCite \textit{L. V. Thanh} and \textit{N. T. Thuy}, Acta Math. Hung. 150, No. 2, 456--471 (2016; Zbl 1399.60007) Full Text: DOI arXiv
Riabov, G. V. A representation for the Kantorovich-Rubinstein distance defined by the Cameron-Martin norm of a Gaussian measure on a Banach space. (English) Zbl 1374.60005 Theory Stoch. Process. 21, No. 2, 84-90 (2016). MSC: 60B11 60G15 60H07 60G57 PDFBibTeX XMLCite \textit{G. V. Riabov}, Theory Stoch. Process. 21, No. 2, 84--90 (2016; Zbl 1374.60005) Full Text: Link
Chevyrev, Ilya; Lyons, Terry Characteristic functions of measures on geometric rough paths. (English) Zbl 1393.60008 Ann. Probab. 44, No. 6, 4049-4082 (2016). MSC: 60B11 43A05 PDFBibTeX XMLCite \textit{I. Chevyrev} and \textit{T. Lyons}, Ann. Probab. 44, No. 6, 4049--4082 (2016; Zbl 1393.60008) Full Text: DOI arXiv
Bobkov, Sergey G.; Melbourne, James Hyperbolic measures on infinite dimensional spaces. (English) Zbl 1342.60006 Probab. Surv. 13, 57-88 (2016). MSC: 60B11 28C20 60F10 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{J. Melbourne}, Probab. Surv. 13, 57--88 (2016; Zbl 1342.60006) Full Text: DOI arXiv Euclid
Ulyanov, V. V. On properties of polynomials in random elements. (English. Russian original) Zbl 1381.60015 Theory Probab. Appl. 60, No. 2, 325-336 (2016); translation from Teor. Veroyatn. Primen. 60, No. 2, 391-402 (2015). MSC: 60B11 60E10 PDFBibTeX XMLCite \textit{V. V. Ulyanov}, Theory Probab. Appl. 60, No. 2, 325--336 (2016; Zbl 1381.60015); translation from Teor. Veroyatn. Primen. 60, No. 2, 391--402 (2015) Full Text: DOI arXiv
Yeh, Hsiaw-Chan Multivariate Weibull and Pareto distributions in Hilbert space. (English) Zbl 1336.60008 Commun. Stat., Theory Methods 44, No. 14, 3073-3086 (2015). MSC: 60B11 60E10 62E10 PDFBibTeX XMLCite \textit{H.-C. Yeh}, Commun. Stat., Theory Methods 44, No. 14, 3073--3086 (2015; Zbl 1336.60008) Full Text: DOI
Chen, Chuanyong; Chen, Pingyan Complete convergence for some weighted sums of \(B\)-valued random variables. (Chinese. English summary) Zbl 1340.60002 Acta Math. Appl. Sin. 38, No. 3, 526-534 (2015). MSC: 60B11 60F15 PDFBibTeX XMLCite \textit{C. Chen} and \textit{P. Chen}, Acta Math. Appl. Sin. 38, No. 3, 526--534 (2015; Zbl 1340.60002)
Raja, C. R. E. Operator decomposable measures and stochastic difference equations. (English) Zbl 1328.60012 J. Theor. Probab. 28, No. 3, 785-803 (2015). MSC: 60B11 39A50 60G50 PDFBibTeX XMLCite \textit{C. R. E. Raja}, J. Theor. Probab. 28, No. 3, 785--803 (2015; Zbl 1328.60012) Full Text: DOI arXiv
Ta Cong Son; Dang Hung Thang On the convergence of series of martingale differences with multidimensional indices. (English) Zbl 1323.60010 J. Korean Math. Soc. 52, No. 5, 1023-1036 (2015). MSC: 60B11 60B12 60F15 60G42 60G60 PDFBibTeX XMLCite \textit{Ta Cong Son} and \textit{Dang Hung Thang}, J. Korean Math. Soc. 52, No. 5, 1023--1036 (2015; Zbl 1323.60010) Full Text: DOI Link
Janson, Svante; Kaijser, Sten Higher moments of Banach space valued random variables. (English) Zbl 1336.60007 Mem. Am. Math. Soc. 1127, vii, 110 p. (2015). Reviewer: Yana Kinderknecht (Völklingen) MSC: 60B11 46G10 46B28 46B26 46M05 46N30 PDFBibTeX XMLCite \textit{S. Janson} and \textit{S. Kaijser}, Higher moments of Banach space valued random variables. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1336.60007) Full Text: DOI arXiv
Bessam, Diogo Large deviations in a Gaussian setting: the role of the Cameron-Martin space. (English) Zbl 1315.60003 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations II. Proceedings of the conference “Particle systems and partial differential equations, PS-PDEs II”, Braga, Portugal, December 12–13, 2013. Cham: Springer (ISBN 978-3-319-16636-0/hbk; 978-3-319-16637-7/ebook). Springer Proceedings in Mathematics & Statistics 129, 135-152 (2015). MSC: 60B11 60F10 60G15 46E22 PDFBibTeX XMLCite \textit{D. Bessam}, Springer Proc. Math. Stat. 129, 135--152 (2015; Zbl 1315.60003) Full Text: DOI
Fatalov, V. R. Erratum to “On the Laplace method for Gaussian measures in a Banach space”. (English. Russian original) Zbl 1316.60015 Theory Probab. Appl. 59, No. 2, 357-358 (2015); translation from Teor. Veroyatn. Primen. 59, No. 2, 413-414 (2014). MSC: 60B11 60B12 60F10 60G15 60J65 PDFBibTeX XMLCite \textit{V. R. Fatalov}, Theory Probab. Appl. 59, No. 2, 357--358 (2015; Zbl 1316.60015); translation from Teor. Veroyatn. Primen. 59, No. 2, 413--414 (2014) Full Text: DOI
Radchenko, V. M. Evolution equations driven by general stochastic measures in Hilbert space. (English. Russian original) Zbl 1315.60004 Theory Probab. Appl. 59, No. 2, 328-339 (2015); translation from Teor. Veroyatn. Primen. 59, No. 2, 375-386 (2014). MSC: 60B11 60H05 47D06 PDFBibTeX XMLCite \textit{V. M. Radchenko}, Theory Probab. Appl. 59, No. 2, 328--339 (2015; Zbl 1315.60004); translation from Teor. Veroyatn. Primen. 59, No. 2, 375--386 (2014) Full Text: DOI
Riedle, Markus Ornstein-Uhlenbeck processes driven by cylindrical Lévy processes. (English) Zbl 1332.60026 Potential Anal. 42, No. 4, 809-838 (2015). Reviewer: Hiroaki Shimomura (Tokyo) MSC: 60B11 60H05 60G51 60G20 PDFBibTeX XMLCite \textit{M. Riedle}, Potential Anal. 42, No. 4, 809--838 (2015; Zbl 1332.60026) Full Text: DOI arXiv
Applebaum, David; van Neerven, Jan Second quantisation for skew convolution products of infinitely divisible measures. (English) Zbl 1314.60016 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550003, 12 p. (2015). MSC: 60B11 60E07 60G51 60G57 60H05 PDFBibTeX XMLCite \textit{D. Applebaum} and \textit{J. van Neerven}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550003, 12 p. (2015; Zbl 1314.60016) Full Text: DOI arXiv
Arutyunyan, Lavrentin M.; Kosov, Egor D. Sets of admissible shifts of convex measures. (English) Zbl 1314.60017 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 1, 93-98 (2015). MSC: 60B11 28C20 46G12 PDFBibTeX XMLCite \textit{L. M. Arutyunyan} and \textit{E. D. Kosov}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 1, 93--98 (2015; Zbl 1314.60017) Full Text: DOI
Baumgartner, Florian Lévy processes with values in locally convex Suslin spaces. arXiv:1510.00538 Preprint, arXiv:1510.00538 [math.PR] (2015). MSC: 60B11 60G51 60G17 28C20 BibTeX Cite \textit{F. Baumgartner}, ``Lévy processes with values in locally convex Suslin spaces'', Preprint, arXiv:1510.00538 [math.PR] (2015) Full Text: arXiv OA License
Sato, Yoshiharu Joint Gaussian measure on multivariate random functions and conditional expectation. (English) Zbl 1430.60009 Bongiorno, Enea G. (ed.) et al., Contributions in infinite-dimensional statistics and related topics. Selected papers from the 3rd international workshop on functional and operatorial statistics (IWFOS’2014), Stresa, Italy, June 19–21, 2014. Bologna: Società Editrice Esculapio. 245-250 (2014). MSC: 60B11 60G15 PDFBibTeX XMLCite \textit{Y. Sato}, in: Contributions in infinite-dimensional statistics and related topics. Selected papers from the 3rd international workshop on functional and operatorial statistics (IWFOS'2014), Stresa, Italy, June 19--21, 2014. Bologna: Società Editrice Esculapio. 245--250 (2014; Zbl 1430.60009)
Virág, Bálint Operator limits of random matrices. (English) Zbl 1373.60010 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 247-271 (2014). MSC: 60B11 62H12 60B20 PDFBibTeX XMLCite \textit{B. Virág}, in: Proceedings of the international congress of mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa. 247--271 (2014; Zbl 1373.60010) Full Text: arXiv
Dang, Hung Thang; Ta, Cong Son; Tran, Manh Cuong Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers. (English) Zbl 1378.60016 J. Inequal. Appl. 2014, Paper No. 446, 14 p. (2014). MSC: 60B11 60B12 60F15 60G42 60E15 PDFBibTeX XMLCite \textit{H. T. Dang} et al., J. Inequal. Appl. 2014, Paper No. 446, 14 p. (2014; Zbl 1378.60016) Full Text: DOI
Mushtari, D. H.; Haliullin, S. G. Linear spaces with probability measures, ultraproducts and contiguity. (English) Zbl 1314.60019 Lobachevskii J. Math. 35, No. 2, 138-146 (2014). MSC: 60B11 PDFBibTeX XMLCite \textit{D. H. Mushtari} and \textit{S. G. Haliullin}, Lobachevskii J. Math. 35, No. 2, 138--146 (2014; Zbl 1314.60019) Full Text: DOI
Hong, Liang The linear topology associated with weak convergence of probability measures. (English) Zbl 1308.60010 Missouri J. Math. Sci. 26, No. 2, 168-172 (2014). MSC: 60B11 60B10 PDFBibTeX XMLCite \textit{L. Hong}, Missouri J. Math. Sci. 26, No. 2, 168--172 (2014; Zbl 1308.60010) Full Text: arXiv Euclid
Kvaratskhelia, V. V. Unconditional convergence of functional series in problems of probability theory. (English. Russian original) Zbl 1358.60006 J. Math. Sci., New York 200, No. 2, 143-294 (2014); translation from Sovrem. Mat. Prilozh. 86 (2013). Reviewer: Vladimir Kadets (Kharkiv) MSC: 60B11 46B15 46B07 47B10 60G15 PDFBibTeX XMLCite \textit{V. V. Kvaratskhelia}, J. Math. Sci., New York 200, No. 2, 143--294 (2014; Zbl 1358.60006); translation from Sovrem. Mat. Prilozh. 86 (2013) Full Text: DOI
Arutyunyan, L. M.; Kosov, E. D.; Yaroslavtsev, I. S. On some properties of polynomials measurable with respect to a Gaussian measure. (English. Russian original) Zbl 1332.60025 Dokl. Math. 90, No. 1, 419-423 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 2, 131-135 (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 28A12 PDFBibTeX XMLCite \textit{L. M. Arutyunyan} et al., Dokl. Math. 90, No. 1, 419--423 (2014; Zbl 1332.60025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 2, 131--135 (2014) Full Text: DOI
Son, Ta Cong; Thang, Dang Hung; Dung, Le Van Complete convergence in mean for double arrays of random variables with values in Banach spaces. (English) Zbl 1324.60004 Appl. Math., Praha 59, No. 2, 177-190 (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60B12 60F15 60F25 PDFBibTeX XMLCite \textit{T. C. Son} et al., Appl. Math., Praha 59, No. 2, 177--190 (2014; Zbl 1324.60004) Full Text: DOI Link
Phuc, Ho Dang Domains of operator semi-attraction of probability measures on Banach spaces. (English) Zbl 1320.60012 Braz. J. Probab. Stat. 28, No. 4, 587-611 (2014). MSC: 60B11 60B10 PDFBibTeX XMLCite \textit{H. D. Phuc}, Braz. J. Probab. Stat. 28, No. 4, 587--611 (2014; Zbl 1320.60012) Full Text: DOI Euclid
Fatalov, V. R. On the Laplace method for Gaussian measures in a Banach space. (English) Zbl 1316.60014 Theory Probab. Appl. 58, No. 2, 216-241 (2014); translation from Teor. Veroyatn. Primen. 58, No. 2, 325-354 (2013); erratum ibid. 59, No. 2, 357-358 (2015). MSC: 60B11 60B12 60F10 60G15 60J65 PDFBibTeX XMLCite \textit{V. R. Fatalov}, Theory Probab. Appl. 58, No. 2, 216--241 (2014; Zbl 1316.60014); translation from Teor. Veroyatn. Primen. 58, No. 2, 325--354 (2013); erratum ibid. 59, No. 2, 357--358 (2013) Full Text: DOI
Roychowdhury, Mrinal Kanti Quantization dimension for Gibbs-like measures on cookie-cutter sets. (English) Zbl 1304.60014 Kyoto J. Math. 54, No. 2, 239-257 (2014). Reviewer: Hiroaki Shimomura (Tokyo) MSC: 60B11 60E99 PDFBibTeX XMLCite \textit{M. K. Roychowdhury}, Kyoto J. Math. 54, No. 2, 239--257 (2014; Zbl 1304.60014) Full Text: DOI arXiv Euclid
Kuniewski, Sebastian P.; Misiewicz, Jolanta K. Positive definite norm dependent matrices in stochastic modeling. (English) Zbl 1292.60006 Demonstr. Math. 47, No. 1, 211-231 (2014). MSC: 60B11 60E10 62E10 62H20 PDFBibTeX XMLCite \textit{S. P. Kuniewski} and \textit{J. K. Misiewicz}, Demonstr. Math. 47, No. 1, 211--231 (2014; Zbl 1292.60006) Full Text: DOI OA License
Applebaum, David; van Neerven, Jan Second quantisation for skew convolution products of measures in Banach spaces. (English) Zbl 1291.60012 Electron. J. Probab. 19, Paper No. 11, 17 p. (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 47D03 47D07 60G51 60H15 60J35 60G57 PDFBibTeX XMLCite \textit{D. Applebaum} and \textit{J. van Neerven}, Electron. J. Probab. 19, Paper No. 11, 17 p. (2014; Zbl 1291.60012) Full Text: DOI arXiv
Massart, Pascal; Rossignol, Raphaël Around Nemirovski’s inequality. (English) Zbl 1355.60010 Banerjee, M. (ed.) et al., From probability to statistics and back: high-dimensional models and processes. A Festschrift in honor of Jon A. Wellner. Including papers from the conference, Seattle, WA, USA, July 28–31, 2010. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-83-6). Institute of Mathematical Statistics Collections 9, 254-265 (2013). Reviewer: Mohsen Kian (University of Bojnord) MSC: 60B11 60E15 PDFBibTeX XMLCite \textit{P. Massart} and \textit{R. Rossignol}, Inst. Math. Stat. Collect. 9, 254--265 (2013; Zbl 1355.60010) Full Text: DOI
Fatalov, V. R. The Laplace method for Gaussian measures and integrals in Banach spaces. (English. Russian original) Zbl 1314.60018 Probl. Inf. Transm. 49, No. 4, 354-374 (2013); translation from Prob. Peredachi Inf. 49, No. 4, 64-86 (2013). MSC: 60B11 60G15 PDFBibTeX XMLCite \textit{V. R. Fatalov}, Probl. Inf. Transm. 49, No. 4, 354--374 (2013; Zbl 1314.60018); translation from Prob. Peredachi Inf. 49, No. 4, 64--86 (2013) Full Text: DOI
Saadoune, Mohammed On strong convergence of pramarts in Banach spaces. (English) Zbl 1320.60013 Probab. Math. Stat. 33, No. 1, 1-27 (2013). MSC: 60B11 60B12 60G48 PDFBibTeX XMLCite \textit{M. Saadoune}, Probab. Math. Stat. 33, No. 1, 1--27 (2013; Zbl 1320.60013) Full Text: Link
Guivarc’h, Yves; Le Page, Émile Homogeneity at infinity of stationary solutions of multivariate affine stochastic recursions. (English) Zbl 1328.60011 Alsmeyer, Gerold (ed.) et al., Random matrices and iterated random functions. Selected papers based on the presentations at the workshop, Münster, Germany, October 4–7, 2011. Berlin: Springer (ISBN 978-3-642-38805-7/hbk; 978-3-642-38806-4/ebook). Springer Proceedings in Mathematics & Statistics 53, 119-135 (2013). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 37C85 PDFBibTeX XMLCite \textit{Y. Guivarc'h} and \textit{É. Le Page}, Springer Proc. Math. Stat. 53, 119--135 (2013; Zbl 1328.60011) Full Text: DOI
Fu, Ke-Ang; Li, Jie; Dong, Ya-Juan; Zhou, Hui Precise asymptotics for the linear processes generated by associated random variables in Hilbert spaces. (English) Zbl 1268.60008 Comput. Math. Appl. 64, No. 6, 1937-1943 (2012). MSC: 60B11 60F25 60G10 PDFBibTeX XMLCite \textit{K.-A. Fu} et al., Comput. Math. Appl. 64, No. 6, 1937--1943 (2012; Zbl 1268.60008) Full Text: DOI
Fu, Keang; Chen, Juan Precise asymptotics for complete moment convergence in Hilbert spaces. (English) Zbl 1270.60011 Proc. Indian Acad. Sci., Math. Sci. 122, No. 1, 87-97 (2012). MSC: 60B11 60F99 60G50 PDFBibTeX XMLCite \textit{K. Fu} and \textit{J. Chen}, Proc. Indian Acad. Sci., Math. Sci. 122, No. 1, 87--97 (2012; Zbl 1270.60011) Full Text: DOI