Results 51 to 60 of about 1,667 (298)

A general law of the iterated logarithm for non-additive probabilities

Results in Applied Mathematics
Motivated by some interesting problems in mathematical economics, quantum mechanics and finance, non-additive probabilities have been used to describe the phenomena which are generally non-additive. In this paper, we further study the law of the iterated
Zhaojun Zong, Miaomiao Gao, Feng Hu
doaj   +1 more source

On the Law of the Iterated Logarithm for Martingales

The Annals of Probability, 1992
Let \(\{U_n\), \(n\geq 1\}\) be a martingale adapted to an increasing sequence of \(\sigma\)-fields \(\{\mathcal F_n\), \(n\geq 1\}\) and \(s_n^2 = \sum_{i=1}^n E(X_i^2\mid\mathcal F_{i-1})\), \(n\geq 1\). The main result establishes (with probability 1) an upper bound of \(\limsup_{n\to\infty}U_n/s_n\varphi(s_n)\) with \(\varphi(x):=(2\log\log(x^2\vee
openaire   +2 more sources

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Combination of 3D and 2D Small and Wide Angle X‐Ray Scattering Imaging Reveals Diminished Bone Quality in the Superior Human Femoral Neck Cortex

Advanced Materials, EarlyView.
Combined 2D and 3D X‐ray scattering imaging is used to analyse nanostructural properties in the inferior and superior cortex of 78 human femoral necks from 44 donors. The methodology allows for increased interpretation of nanostructure in a statistically relevant dataset, revealing nanostructural differences in anatomical locations critical to clinical
Torne Tänzer, Tatiana Kochetkova, Arthur Baroni, Mathieu Simon, Mads Carlsen, Santiago Fernandez Bordin, Manuel Guizar‐Sicairos, Philippe Zysset, Marianne Liebi   +8 more
wiley   +1 more source

Functional iterated logarithm law for a Wiener process [PDF]

, 2007
The functional iterated logarithm law for a Wiener process in the Bulinskii form for great and small times is ...
Makhno, S.Ya., Budkov, D.S.
core   +2 more sources

Resolving Heterogeneity of Targeted Lipid Nanoparticles Through Solution‐Based Biophysical Analyses

Advanced Materials, EarlyView.
AF4‐UV‐DLS‐MALS‐SAXS resolves previously inaccessible targeted lipid nanoparticle (tLNP) subpopulations that differ in size, shape, and composition. Correlation of subpopulation‐resolved biophysical properties with in vivo RNA delivery reveals that targeted placental transfection is associated with distinct tLNP subpopulations rather than ensemble ...
Hannah C. Geisler, Hannah C. Safford, Ajay S. Thatte, Marshall S. Padilla, Elisa Battistini, Hannah M. Yamagata, Violet M. Ullman, Alex Chan, Benjamin E. Nachod, Anushka Agrawal, Maxwell B. Watkins, Jesse B. Hopkins, Andrew Tsourkas, Kushol Gupta, Michael J. Mitchell   +14 more
wiley   +1 more source

Exponential Inequalities for Positively Associated Random Variables and Applications

Journal of Inequalities and Applications, 2008
We establish some exponential inequalities for positively associated random variables without the boundedness assumption. These inequalities improve the corresponding results obtained by Oliveira (2005).
Ailin Liu, Shanchao Yang, Guodong Xing
doaj   +2 more sources

Directional Latent Hybridization: Beyond Random Noise in Physics‐Informed Generative Inverse Design of Nonlinear Metamaterials

Advanced Materials Technologies, EarlyView.
A physics‐informed generative framework introduces Directional Latent Hybridization (DLH) for the deterministic inverse design of nonlinear metamaterials. By hybridizing dominant traits from parent geometries in the latent space, DLH overcomes the instabilities of stochastic models to ensure high structural precision at high densities.
Semin Ahn, Jun Young Choi, Sung‐Hoon Ahn   +2 more
wiley   +1 more source

One moment estimate for the supremum of normalized sums in the law of the iterated logarithm [PDF]

, 2006
Для послідовності незалежних випадкових елементів банахового простору знайдено оцінку зверху моментів супремуму нормованих сум у законі повторного логарифма через оцінку моментів у законі великих чисел.
Мацак, І.К., Плічко, А.М.
core   +2 more sources

Modeling Light‐Induced Synaptic Behavior and Visual Memory of Azopolymeric Compounds

Advanced Optical Materials, EarlyView.
In the framework of neuromorphic hardware it is essential to predict the evolution of the internal state of the devices mimicking synaptic functionalities to perform in‐silico modeling of specific computational tasks. Here, we provide a rate‐balance equation model to describe the synaptic‐like response of light‐actuated azopolymeric compounds and ...
Mateo Rosero‐Realpe, Federico Ferrarese Lupi, Gianluca Milano, Angelo Angelini   +3 more
wiley   +1 more source