Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Gogi Pantsulaia"'
Autor:
Gogi Pantsulaia
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 6, Pp 353-363 (2002)
We prove that an analogy of the Oxtoby duality principle is not valid for the concrete nontrivial σ-finite Borel invariant measure and the Baire category in the classical Hilbert space ℓ2.
Externí odkaz:
https://doaj.org/article/b3987977b88449c4b5babe7cef8ffa20
Autor:
Gogi Pantsulaia
Publikováno v:
International Journal of Advanced Research in Mathematics. 5:8-22
It is introduced a certain approach for equipment of sets with cardinality of the continuum by structures of Polish groups with two-sided (left or right) invariant Haar measures. By using this approach we answer positively Maleki’s certain question
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4edc8398d24ede0b7b7e81c1c81711bd
https://doi.org/10.18052/www.scipress.com/ijarm.5.8
https://doi.org/10.18052/www.scipress.com/ijarm.5.8
Autor:
Gogi Pantsulaia
Publikováno v:
Monte Carlo Methods and Applications. 21:283-299
By using main properties of uniformly distributed sequences of increasing finite sets in infinite-dimensional rectangles in $R^{\infty}$ described in [G.R. Pantsulaia, On uniformly distributed sequences of an increasing family of finite sets in infin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c41e04ea1e2f0581fdb9c2254f289e7e
https://doi.org/10.1515/mcma-2015-0108
https://doi.org/10.1515/mcma-2015-0108
Autor:
Gogi Pantsulaia
This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach – naturally div
Autor:
Gogi Pantsulaia
Publikováno v:
Acta Mathematica Sinica, English Series. 27:477-496
We introduce notions of ordinary and standard products of σ-finite measures and prove their existence. This approach allows us to construct invariant extensions of ordinary and standard products of Haar measures. In particular, we construct translat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11695d525c9c3d77e2670caf806b707d
https://doi.org/10.1007/s10114-011-9515-y
https://doi.org/10.1007/s10114-011-9515-y
Autor:
Gogi Pantsulaia
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 57:209-222
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5df4bad5cc8d60310cdf4948fb1a4273
https://doi.org/10.4064/ba57-3-3
https://doi.org/10.4064/ba57-3-3
Autor:
Gogi Pantsulaia
Publikováno v:
Applications of Measure Theory to Statistics ISBN: 9783319455778
This chapter contains a brief description of Yamasaki’s remarkable investigation (1980) of the relationship between Moore–Yamasaki–Kharazishvili type measures and infinite powers of Borel diffused probability measures on \(\mathbf{R}\). More pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5159395282dc60c83cab0a0e87a1188
https://doi.org/10.1007/978-3-319-45578-5_4
https://doi.org/10.1007/978-3-319-45578-5_4
Autor:
Gogi Pantsulaia
Publikováno v:
Applications of Measure Theory to Statistics ISBN: 9783319455778
By using the main properties of uniformly distributed sequences of increasing finite sets in infinite-dimensional rectangles in \(R^{\infty }\) described in [P2], an infinite-dimensional Monte Carlo integration is elaborated and the validity of some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dcad0a95feb1138a723c7ba03667f0a
https://doi.org/10.1007/978-3-319-45578-5_2
https://doi.org/10.1007/978-3-319-45578-5_2
Publikováno v:
Applications of Measure Theory to Statistics ISBN: 9783319455778
By using the notion of a Haar ambivalent set introduced by Balka, Buczolich, and Elekes (2012), essentially new classes of statistical structures having objective and strong objective estimates of unknown parameters are introduced in a Polish nonloca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33540824628beaf6d603b249da432ae1
https://doi.org/10.1007/978-3-319-45578-5_5
https://doi.org/10.1007/978-3-319-45578-5_5
Autor:
Gogi Pantsulaia
Publikováno v:
Applications of Measure Theory to Statistics ISBN: 9783319455778
The notion of Haar null sets was introduced by J. P. R. Christensen in 1973 and reintroduced in 1992 in the context of dynamical systems by Hunt, Sauer, and Yorke. During the last 20 years this notion has been useful in studying exceptional sets in d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d256d04a896ed8ddef2e46897d69b70
https://doi.org/10.1007/978-3-319-45578-5_6
https://doi.org/10.1007/978-3-319-45578-5_6