Results 21 to 30 of about 114,898,652 (277)
Central limit theorems for multicolor urns with dominated colors [PDF]
, 2009 An urn contains balls of d≥2 colors. At each time n≥1, a ball is drawn and then replaced together with a random number of balls of the same color. Let A n = diag (An,1,…,An,d) be the n-th reinforce matrix. Assuming that EAn,j=EAn,1 for all n and j, a few
L. Pratelli +7 more
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IEEE Access, 2018 Data-driven approaches, when tasked with situation awareness, are suitable for complex grids with massive datasets. It is a challenge, however, to efficiently turn these massive datasets into useful big data analytics.
Xing He +4 more
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Limit theorems in probability and statistics
, 2023 A Bolyai János Matematikai Társulat által 1989-ben, Pécsett rendezett 3. "Hungarian Colloquium on Limit Theorems in Probability and Statistics" előadásaied. by I. Berkes, E.
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Risk, uncertainty and nonlinear central limit theorems
Risk SciencesThe econometric theory and methods of financial risk are critical technical issues that consistently concern both the economic and mathematical communities.
Zengjing Chen, Xinwei Feng, Hanchao Wang
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Studies on Cauchy–Stieltjes Kernel Families
MathematicsIn the setting of Cauchy–Stieltjes kernel (CSK) families, this study provides some features of free Poisson, free Gamma, and free Binomial laws, as well as some innovative limit theorems linked to Fermi convolution.
Abdulmajeed Albarrak +2 more
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On the t-Transformation of Free Convolution
MathematicsThe study of the stability of measure families under measure transformations, as well as the accompanying limit theorems, is motivated by both fundamental and applied probability theory and dynamical systems. Stability analysis tries to uncover invariant
Shokrya S. Alshqaq +2 more
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Data‐Driven Materials Science for Energy‐Sustainable Applications
Advanced Materials, EarlyView.Data‐driven approaches powered by artificial intelligence are transforming materials discovery for energy sustainability. This review examines how auto‐generated high‐quality materials databases and domain‐specific language models accelerate research in photovoltaics, thermoelectrics, batteries and magnetic materials. Applications involve extraction of
Jacqueline M. Cole
wiley +1 more source
Convergence of weighted sums of pairwise independent stochastically dominated random variables
Tạp chí Khoa học và Công nghệLimit theorems play an important role in probability theory and have numerous applications in statistics. Among them, the weak and strong laws of large numbers established by Kolmogorov and Marcinkiewicz–Zygmund for sequences of independent and ...
Ton That Tu +2 more
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
wiley +1 more source
Advanced Science, EarlyView.Autonomous laboratories can now synthesize materials faster than experts can interpret the resulting diffraction data. A probabilistic framework combines refinement‐fit metrics with large language model‐derived chemical reasoning to rank competing phase interpretations and flag those unsuitable for autonomous use.
Olympia Dartsi +7 more
wiley +1 more source