Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Witold Bednorz"'
Autor:
Witold Bednorz, Rafał Martynek
Publikováno v:
The Annals of Probability. 50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::532f7c1a612922f1cf4d0a6e47ad123c
https://doi.org/10.1214/21-aop1546
https://doi.org/10.1214/21-aop1546
Autor:
Witold Bednorz
Publikováno v:
Greedy Algorithms
Let (X, · ) be a (real) Banach space. We refer to [38] or [28] as some introduction to the general theory of Banach spaces. Note that, as usual in the case, all the results we discuss here remain valid for complex scalars with possibly different con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34b34b97d181cab46d299705cc7fd4e4
http://www.intechopen.com/articles/show/title/greedy_type_bases_in_banach_spaces
http://www.intechopen.com/articles/show/title/greedy_type_bases_in_banach_spaces
Publikováno v:
Probability and Mathematical Statistics. 41
We estimate up to universal constants tails of symmetric and totally asymmetric 1-dimensional $\alpha$-stable distributions in terms of functions of the parameters of these distributions. In particular, for values of $\alpha$ close to $2$ we specify
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4fe90e6dee3b675737498a977c04efc
https://doi.org/10.37190/0208-4147.41.2.7
https://doi.org/10.37190/0208-4147.41.2.7
Autor:
Tomasz Tkocz, Witold Bednorz
Publikováno v:
International Mathematics Research Notices. 2020:8997-9010
Kwapien and Woyczynski asked in their monograph (1992) whether their notion of superstrong domination is inherited when taking sums of independent symmetric random vectors (one vector dominates another if, essentially, tail probabilities of any norm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba5eab721caabe51f42f9bee40436c23
https://doi.org/10.1093/imrn/rny249
https://doi.org/10.1093/imrn/rny249
Autor:
Witold Bednorz, Grzegorz Głowienko
Publikováno v:
Progress in Probability ISBN: 9783030263904
In this paper we consider a probability measure on the high dimensional Euclidean space satisfying Bobkov-Ledoux inequality. Bobkov and Ledoux have shown in (Probab Theory Related Fields 107(3):383–400, 1997) that such entropy inequality captures c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cf1c67957120e2d8b71f0e3bba1443d
https://doi.org/10.1007/978-3-030-26391-1_2
https://doi.org/10.1007/978-3-030-26391-1_2
Autor:
Rafał Martynek, Witold Bednorz
In this paper we improve Bernoulli comparison. The result works for independent Rademacher random variables $(\varepsilon_i)_{i\geq1}$ and states that we can compare $\mathbb{E}\sup_{t\in T}\sum_{i\geq1}\varphi_{i}(t)\varepsilon_i$ with $\mathbb{E}\s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84f59cea10b9f16a0561ddec467ccb22
http://arxiv.org/abs/1812.04399
http://arxiv.org/abs/1812.04399
Autor:
Radosław Adamczak, Witold Bednorz
Publikováno v:
ESAIM: Probability and Statistics. 19:440-481
Using the renewal approach we prove exponential inequalities for additive functionals and empirical processes of ergodic Markov chains, thus obtaining counterparts of inequalities for sums of independent random variables. The inequalities do not requ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21cc9b09d2ef7cfdda77e5afa618e3a2
https://doi.org/10.1051/ps/2014032
https://doi.org/10.1051/ps/2014032
Autor:
Witold Bednorz, Adam Bednorz
Sphere eversions have been described so far by either pictures with minimal topological complexity, numerical evolution or complex equations. We write down relatively simple explicit formulas for the whole eversion, both analytic and topologically si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77669fb614e1c6cc88b560439842435b
Autor:
Rafał Latała, Witold Bednorz
Publikováno v:
Annals of Mathematics. :1167-1203
We present a positive solution to the so-called Bernoulli Conjecture concerning the characterization of sample boundedness of Bernoulli processes. We also discuss some applications and related open problems.
36 pages
36 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5cf05f59eec388c3d99603e93a7ebc4
https://doi.org/10.4007/annals.2014.180.3.8
https://doi.org/10.4007/annals.2014.180.3.8
Autor:
Rafał Latała, Witold Bednorz
Publikováno v:
Comptes Rendus Mathematique. 351:131-134
In this note we announce the affirmative solution of the so-called Bernoulli Conjecture concerning the characterization of the sample boundedness of Bernoulli processes. We also present some applications and discuss related open problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad88ccd53e6df08dd15ad2f30e1547fc
https://doi.org/10.1016/j.crma.2013.02.013
https://doi.org/10.1016/j.crma.2013.02.013