Results 41 to 50 of about 16,691 (298)

Law of the Iterated Logarithm for U-Statistics of Weakly Dependent Observations [PDF]

open access: yes, 2009
The law of the iterated logarithm for partial sums of weakly dependent processes was intensively studied by Walter Philipp in the late 1960s and 1970s. In this paper, we aim to extend these results to nondegenerate U-statistics of data that are strongly ...
Dehling, Herold, Wendler, Martin
core   +3 more sources

On the law of the iterated logarithm

open access: yesJournal of Multivariate Analysis, 1981
AbstractAn analogue of the law of the iterated logarithm for Brownian motion in Banach spaces is proved where the expression √2 loglog s is replaced by a positive non-decreasing function satisfying certain conditions.
openaire   +2 more sources

Metric discrepancy results for geometric progressions with small ratios

open access: yes, 2018
The law of the iterated logarithm for discrepancies of geometric progressions with small ratios is ...
Fukuyama, K.   +4 more
core   +1 more source

On martingale tail sums in affine two-color urn models with multiple drawings [PDF]

open access: yes, 2016
In two recent works, Kuba and Mahmoud (arXiv:1503.090691 and arXiv:1509.09053) introduced the family of two-color affine balanced Polya urn schemes with multiple drawings. We show that, in large-index urns (urn index between $1/2$ and $1$) and triangular
Kuba, Markus, Sulzbach, Henning
core   +2 more sources

Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence

open access: yesJournal of Inequalities and Applications, 2011
Let be a doubly infinite sequence of identically distributed and -mixing random variables, and let be an absolutely summable sequence of real numbers.
Jie Li
doaj   +2 more sources

On the Makarov law of the iterated logarithm [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
We obtain considerable improvement of Makarov’s estimate of the boundary behavior of a general conformal mapping from the unit disk to a simply connected domain in the complex plane. We apply the result to improve Makarov’s comparison of harmonic measure with Hausdorff measure on simply connected domains.
Håkan Hedenmalm, Ilgiz R. Kayumov
openaire   +5 more sources

On the uniqueness of higher order Gubinelli derivatives and an analogue of the Doob – Meyer theorem for rough paths of the arbitrary positive Holder index

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2022
In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
doaj   +1 more source

On the Law of the Iterated Logarithm

open access: yesThe Annals of Probability, 1974
A triumvirate of sufficient conditions is given for unbounded, independent random variables to obey the Law of the Iterated Logarithm (LIL). As special cases, new results for weighted i.i.d. random variables and the Hartman-Wintner theorem are obtained.
openaire   +3 more sources

Some singular sample path properties of a multiparameter fractional Brownian motion [PDF]

open access: yes, 2016
We prove a Chung-type law of the iterated logarithm for a multiparameter extension of the fractional Brownian motion which is not increment stationary.
Richard, Alexandre
core   +2 more sources

Materials Advances in Devices for Heart Disease Interventions

open access: yesAdvanced Materials, EarlyView.
This review examines the crucial role of materials in heart disease interventions, focusing on strategies for monitoring, managing, and repairing heart conditions. It discusses the material requirements for medical devices, highlighting recent innovations and their impact on cardiovascular health.
Gagan K. Jalandhra   +11 more
wiley   +1 more source

Home - About - Disclaimer - Privacy