Results 41 to 50 of about 16,691 (298)
Law of the Iterated Logarithm for U-Statistics of Weakly Dependent Observations [PDF]
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
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
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]
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
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Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence
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]
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
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
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]
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
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Materials Advances in Devices for Heart Disease Interventions
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