Results 51 to 60 of about 166,494,588 (247)
Functional iterated logarithm law for a Wiener process [PDF]
, 2007 The functional iterated logarithm law for a Wiener process in the Bulinskii form for great and small times is ...
Makhno, S.Ya., Budkov, D.S.
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Exponential Inequalities for Positively Associated Random Variables and Applications
Journal of Inequalities and Applications, 2008 We establish some exponential inequalities for positively associated random variables without the boundedness assumption. These inequalities improve the corresponding results obtained by Oliveira (2005).
Ailin Liu, Shanchao Yang, Guodong Xing
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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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Advanced Materials Technologies, EarlyView.A physics‐informed generative framework introduces Directional Latent Hybridization (DLH) for the deterministic inverse design of nonlinear metamaterials. By hybridizing dominant traits from parent geometries in the latent space, DLH overcomes the instabilities of stochastic models to ensure high structural precision at high densities.
Semin Ahn +2 more
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A general law of the iterated logarithm for non-additive probabilities
Results in Applied MathematicsMotivated by some interesting problems in mathematical economics, quantum mechanics and finance, non-additive probabilities have been used to describe the phenomena which are generally non-additive. In this paper, we further study the law of the iterated
Zhaojun Zong, Miaomiao Gao, Feng Hu
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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
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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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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.
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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
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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