Results 11 to 20 of about 790,581 (296)
ON THE LAW OF THE ITERATED LOGARITHM [PDF]
Proc Natl Acad Sci U S A, 1969 John Slivka
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ITERATED LOGARITHM INEQUALITIES [PDF]
Proc Natl Acad Sci U S A, 1967 D. A. Darling, Herbert Robbins
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Capacity of the range of random walk: The law of the iterated logarithm [PDF]
Annals of Probability, 2022 We establish both the $\limsup$ and the $\liminf$ law of the iterated logarithm (LIL), for the capacity of the range of a simple random walk in any dimension $d\ge 3$.
A. Dembo, Izumi Okada
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Iterated-logarithm laws for convex hulls of random walks with drift [PDF]
, 2023 We establish laws of the iterated logarithm for intrinsic volumes of the convex hull of many-step, multidimensional random walks whose increments have two moments and a non-zero drift.
Wojciech Cygan +3 more
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Small deviations and Chung’s law of iterated logarithm for a hypoelliptic Brownian motion on the Heisenberg group [PDF]
Transactions of the American Mathematical Society. Series B, 2020 A small ball problem and Chung’s law of iterated logarithm for a hypoelliptic Brownian motion in Heisenberg group are proven. In addition, bounds on the limit in Chung’s law are established.
M. Carfagnini, M. Gordina
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Laws of the iterated logarithm for nonparametric sequential density estimators [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 In this note, we establish a law of iterated logarithm for a triangular array of a random number of independent random variables and apply it to obtain laws of iterated logarithm for the sequential nonparametric density estimators.
Karima Lagha, Smail Adjabi
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Precise Asymptotics in the Law of the Iterated Logarithm under Sublinear Expectations
Mathematical Problems in Engineering, 2021 By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear expectations, we establish precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under ...
Mingzhou Xu, K. Cheng
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Law of the iterated logarithm for a random Dirichlet series [PDF]
Electronic Communications in Probability, 2020 Let $(X_n)_{n\in \mathbb{N}}$ be a sequence of i.i.d. random variables with distribution $\mathbb P(X_1=1)=\mathbb P(X_1=-1)=1/2$. Let $F(\sigma)=\sum_{n=1}^\infty X_nn^{-\sigma}$.
Marco Aymone +2 more
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The convergence rate for the laws of logarithms under sub-linear expectations
AIMS Mathematics, 2023 Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $.
Qunying Wu
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Weihrauch-completeness for layerwise computability [PDF]
Logical Methods in Computer Science, 2018 We introduce the notion of being Weihrauch-complete for layerwise computability and provide several natural examples related to complex oscillations, the law of the iterated logarithm and Birkhoff's theorem. We also consider hitting time operators, which
Arno Pauly, Willem Fouché, George Davie
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