Results 51 to 60 of about 19,694 (357)

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

, 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

Law of the iterated logarithm for a random Dirichlet series [PDF]

Electronic Communications in Probability, 2020
Let $(X_n)_{n\in \mathbb{N}}$ be a sequence of i.i.d. random variables with distribution $\mathbb P(X_1=1)=\mathbb P(X_1=-1)=1/2$. Let $F(\sigma)=\sum_{n=1}^\infty X_nn^{-\sigma}$.
Marco Aymone, Susana Fr'ometa, R. Misturini   +2 more
semanticscholar   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

On the other law of the iterated logarithm for self-normalized sums

Anais da Academia Brasileira de Ciências, 2008
Inthisnote, we obtain a Chung's integral test for self-normalized sums of i.i.d. random variables. Furthermore, we obtain a convergence rate of Chung law of the iterated logarithm for self-normalized sums.Nesta nota, obtemos um teste integral de Chung ...
Guang-Hui Cai
doaj   +1 more source

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

Journal 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

The quenched limiting distributions of a one-dimensional random walk in random scenery

, 2013
For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of the iterated logarithm. As a consequence, conditioned on the random scenery, the one-dimensional RWRS does not
Guillotin-Plantard, Nadine, Hu, Yueyun, Schapira, Bruno   +2 more
core   +2 more sources

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source

The LIL for $U$-statistics in Hilbert spaces

, 2007
We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for $U$-statistics in Hilbert spaces. As a tool we also develop moment and tail estimates for canonical Hilbert-space valued $U$-statistics of arbitrary order ...
C. Houdré, E. Giné, E. Giné, E. Giné, E. Giné, E.D. Gluskin, H. Rubin, M. Arcones, O. Bousquet, R. Adamczak, R. Latała, R. Latała, R. Latała, Radosław Adamczak, Rafał Latała, S. Kwapień, V. Goodman, V.H. la Peña de, V.H. la Peña de, V.H. la Peña de   +19 more
core   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Laws of iterated logarithm of multiparameter wiener processes

Journal of Multivariate Analysis, 1973
AbstractLet {X(t) : t ∈ R+N} denote the N-parameter Wiener process on R+N = [0, ∞)n. For multiple sequences of certain independent random variables the authors find lower bounds for the distributions of maximum of partial sums of these random variables, and as a consequence a useful upper bound for the yet unknown function P{supt∈DnX(t) ≥ c}, c ≥ 0, is
Paranjape, S.R, Park, C
openaire   +2 more sources