Results 81 to 90 of about 1,623,252 (283)

Strong Laws of Large Numbers for 𝔹-Valued Random Fields

Discrete Dynamics in Nature and Society, 2009
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric assumptions.
Zbigniew A. Lagodowski
doaj   +1 more source

Asymptotic normality and mean consistency of LS estimators in the errors-in-variables model with dependent errors

Open Mathematics, 2020
In this article, an errors-in-variables regression model in which the errors are negatively superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type strong law of large numbers for NSD random variables is established. Then,
Zhang Yu, Liu Xinsheng, Yu Yuncai, Hu Hongchang   +3 more
doaj   +1 more source

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

Advanced Engineering Materials, EarlyView.
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell, Martha Leach, Hongtao Song, Carolyn Seepersad   +3 more
wiley   +1 more source

Strong laws for weighted sums of widely orthant dependent random variables and applications

Open Mathematics
In this study, the strong law of large numbers and the convergence rate for weighted sums of non-identically distributed widely orthant dependent random variables are established.
Zhu Yong, Wang Wei, Chen Kan
doaj   +1 more source

Sol–Gel Derived Polymer Precursors for Stereolithography of ZrC

Advanced Engineering Materials, EarlyView.
ZrC is a critical material target for extreme temperature conditions. This report describes a protocol for preparing ZrC ceramics via stereolithography and examines the impact of the polymer matrix on carbothermal reduction and mechanical stability of 3D printed ZrC.
Charles J. Rafalko, Evelyn Wang, Michael A. Hickner   +2 more
wiley   +1 more source

Al–Cu Composite Casting of Laser‐Deoxidized Copper: Bonding, Interfacial Chemistry, and Thermal Conductivity

Advanced Engineering Materials, EarlyView.
This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff, Finn‐Lennard Janthur, Sascha Zimmermann, Sarah Seffer, Jörg Hermsdorf, René Gustus, Ludger Overmeyer, Wolfgang Maus‐Friedrichs, Hans Jürgen Maier, Christian Klose   +9 more
wiley   +1 more source

On the weak law of large numbers for normed weighted sums of I.I.D. random variables

International Journal of Mathematics and Mathematical Sciences, 1991
For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
doaj   +1 more source

A strong law of large numbers under sublinear expectations

Probability, Uncertainty and Quantitative Risk, 2023
We consider a sequence of i.i.d. random variables $\{ξ_k\}$under a sublinear expectation $\mathbb{E}=\sup_{P\inΘ}E_P$. We first give a new proof to the fact that, under each $P\inΘ$, any cluster point of the empirical averages $\barξ_n=(ξ_1+\cdots+ξ_n)/n$ lies in $[\underlineμ, \barμ]$ with $\underlineμ=-\mathbb{E}[-ξ_1], \barμ=\mathbb{E}[ξ_1]$.
openaire   +2 more sources

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

Advanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu, Timon Steinhoff, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Christian Klose, Ludger Overmeyer, Hans‐Jürgen Maier, Nina Merkert   +8 more
wiley   +1 more source

On complete convergence in a Banach space

International Journal of Mathematics and Mathematical Sciences, 1994
Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
Anna Kuczmaszewska, Dominik Szynal
doaj   +1 more source