Results 101 to 110 of about 30,884 (295)
Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
Modern Stochastics: Theory and Applications, 2018 Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are derived in the central limit theorem for weighted sums of such randoms fields via an approximation by m-dependent random fields.
Davide Giraudo
doaj +1 more source
Functional Limit Theorems for Occupation Time Fluctuations of Branching Systems in the Case of Long-Range Dependence [PDF]
Functional central limit theorem; Occupation time uctuation; Branching particle system; Distribution-valued Gaussian process; Fractional Brownian motion; Sub-fractional Brownian motion; Long-range ...
Luis G. Gorostiza +2 more
core
Advanced Intelligent Discovery, EarlyView.This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee +3 more
wiley +1 more source
, 2018 The Encyclopedia of Educational Research, Measurement, and Evaluation (edited by Bruce B. Frey) is out... Bruce kindly asked me to write an entry on the central limit theorem in the encyclopedia... The central limit theorem is a fundamental theorem of
Arthur Charpentier
core
Advanced Intelligent Discovery, EarlyView.In this work, the Doubao large language model (LLM) is involved in the formula derivation processes for Hubbard U determination regarding the second‐order perturbations of the chemical potential. The core ML tool is optimized for physical domain knowledge, which is not limited to parameter prediction but rather serves as an interactive physical theory ...
Mingzi Sun +8 more
wiley +1 more source
A New Proof of Central Limit Theorem for i.i.d. Random Variables
Abstract and Applied Analysis, 2013 Central limit theorem (CLT) has long and widely been known as a fundamental result in probability theory. In this note, we give a new proof of CLT for independent identically distributed (i.i.d.) random variables.
Zhaojun Zong, Feng Hu
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ASYMPTOTIC STATISTICAL PROPERTIES OF THE NEOCLASSICAL OPTIMAL GROWTH MODEL [PDF]
The standard one-sector stochastic optimal growth model is shown to be not just ergodic but geometrically ergodic. In addition, it is proved that the time series generated by the optimal path satisfy the Law of Large Numbers and the Central Limit Theorem.
John Stachurski
core
Advanced Intelligent Discovery, EarlyView.This study reveals that sampling strategy (i.e., sampling size and approach) is a foundational prerequisite for building accurate and generalizable AI models in peptide discovery. Reaching a threshold of 7.5% of the total tetrapeptide sequence space was essential to ensure reliable predictions.
Meiru Yan +3 more
wiley +1 more source
MathematicsIn this paper, under some suitable assumptions, using the Taylor expansion, Borel–Cantelli lemma and the almost sure central limit theorem for independent random variables, the almost sure central limit theorem for error variance estimator in the pth ...
Kaiyu Liang, Yong Zhang
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source