Results 31 to 40 of about 1,667 (298)
Representations for Integral Functionals of Kernel Density Estimators
Austrian Journal of Statistics, 2016 We establish a representation as a sum of independent random variables, plus a remainder term, for estimators of integral functionals of the density function, which have a certain simple structure.
David M. Mason
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Discrete Dynamics in Nature and Society, 2022 Let X,Xn,n≥1 be a sequence of independent, identically distributed random variables under sublinear expectations with CVX20 and an=olog logn−d, we obtain the exact rates in the law of iterated logarithm of a kind of weighted infinite series of CVMn−ε+anσ¯
Mingzhou Xu, Kun Cheng
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On the other law of the iterated logarithm for self-normalized sums
Anais da Academia Brasileira de Ciências, 2008 Inthisnote, we obtain a Chung's integral test for self-normalized sums of i.i.d. random variables. Furthermore, we obtain a convergence rate of Chung law of the iterated logarithm for self-normalized sums.Nesta nota, obtemos um teste integral de Chung ...
Guang-Hui Cai
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective In multiple sclerosis, the optimal time for deploying a therapeutic intervention is before the central nervous system is damaged; given the success of trials treating the earliest stage of MS, the radiologically isolated syndrome, developing primary prevention strategies is an important next challenge.
Amy W. Laitinen +7 more
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Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence
Journal of Inequalities and Applications, 2011 Let be a doubly infinite sequence of identically distributed and -mixing random variables, and let be an absolutely summable sequence of real numbers.
Jie Li
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Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias +3 more
wiley +1 more source
The size of the largest fluctuations in a market model with Markovian switching [PDF]
, 2009 This paper considers the size of the large fluctuations of a stochastic differential equation with Markovian switching. We concentrate on processes which obey the Law of the Iterated Logarithm, or obey upper and lower iterated logarithm growth bounds on ...
Wu, H., Mao, X., Appleby, J., Lynch, T.
core
Laws of the iterated logarithm for iterated perturbed random walks
Modern Stochastics: Theory and ApplicationsLet ${({\xi _{k}},{\eta _{k}})_{k\ge 1}}$ be independent identically distributed random vectors with arbitrarily dependent positive components and ${T_{k}}:={\xi _{1}}+\cdots +{\xi _{k-1}}+{\eta _{k}}$ for $k\in \mathbb{N}$. The random sequence ${({T_{k}}
Oksana Braganets
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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A Generalization of Kolmogorov's Law of the Iterated Logarithm [PDF]
Proceedings of the American Mathematical Society, 1972 A version of the law of the iterated logarithm is proved for sequences of independent random variables which satisfy the central limit theorem in such a way that the convergence of the appropriate moment-generating functions to that of the standard normal distribution occurs at a particular rate.
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