Results 61 to 70 of about 1,667 (298)
On the Multivariate Law of the Iterated Logarithm
The Annals of Probability, 1979 A Hilbert space law of the iterated logarithm is proved which generalizes Kolmogorov's law for bounded random variables and which generalizes results of Teicher for unbounded random variables. The result for identically distributed random vectors is a consequence.
openaire +2 more sources
Advanced Robotics Research, EarlyView.Intelligent Sky Guardians (InSkyGuard) is introduced as a four‐drone swarm that autonomously detects, tracks, and safely captures rogue drones using a coordinated net system. Computer vision and leader–follower control architecture enable synchronized enclosure, while integrated failsafes enhance system reliability. Validated through closed‐environment
Joshua Hastings +6 more
wiley +1 more source
General Convergence Rates by the Delayed Sums Method
AxiomsIn this study, we propose a delayed sums method to investigate the convergence rates of partial sums. This approach enables general and systematic treatment of the convergence behavior of partial sums, encompassing and extending classical results such as
Cheng Hu, Shangshang Yang, Tonghui Wang
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Journal of Inequalities and Applications, 2016 We assume that X k = ∑ i = − ∞ + ∞ a i ξ i + k $X_{k}=\sum_{i=-\infty}^{+\infty}a_{i}\xi_{i+k}$ is a moving average process and { ξ i , − ∞ < i < + ∞ } $\{\xi_{i},-\infty ...
Yayun Zhang, Qunying Wu
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Sustainable Materials Design With Multi‐Modal Artificial Intelligence
Advanced Science, EarlyView.Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu +8 more
wiley +1 more source
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.
Dehling, Herold +3 more
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On The Law of the Iterated Logarithm in Hybrid Multiphase Queueing Systems
Operations Research and Decisions, 2020 The model of a hybrid multiphase queueing system (HMQS) has been developed to measure the performance of complex computer networks working under conditions of heavy traffic.
Saulius Minkevičius
doaj
Advanced Science, EarlyView.Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang +2 more
wiley +1 more source
Limit properties for ratios of order statistics from exponentials
Journal of Inequalities and Applications, 2017 In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
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N‐Doping Activated Presodiation Enhances Sodium‐Ion Provision in Hard Carbon Anodes
Advanced Science, EarlyView.Introducing pyrrolic‐N sites enables efficient presodiation and stronger PF6− capture, thus pre ‐ forming a robust inorganic‐rich SEI layer in hard carbon anodes. ABSTRACT Hard carbon (HC) is considered the most promising anode material for commercial sodium‐ion batteries (SIBs), yet it still faces critical challenges such as low initial Coulombic ...
Hua Lin +8 more
wiley +1 more source