Results 21 to 30 of about 19,694 (357)
Note on Precise Asymptotics in the Law of the Iterated Logarithm under Sublinear Expectations
Mathematical Problems in Engineering, 2022 By using Lebesgue bounded convergence theorem, we prove precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under sublinear expectation.
Mingzhou Xu, K. Cheng
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The law of iterated logarithm for combinatorial multisets
Lietuvos Matematikos Rinkinys, 2005 There is no abstract.
Jolita Norkūnienė
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A law of the iterated logarithm for Grenander's estimator. [PDF]
Stoch Process Their Appl, 2016 In this note we prove the following law of the iterated logarithm for the Grenander estimator of a monotone decreasing density: If $f(t_0) > 0$, $f'(t_0) < 0$, and $f'$ is continuous in a neighborhood of $t_0$, then \begin{eqnarray*} \limsup_{n ...
Dümbgen L, Wellner JA, Wolff M.
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One-sided law of the iterated logarithm for dyadic martingale using sub-gaussian estimates
Open Journal of Mathematical Analysis, 2022 The martingale analogue of Kolmogorov’s law of the iterated logarithm was obtained by W. Stout using probabilistic approach. In this paper, we give a new proof of one side of the same law of the iterated logarithm for dyadic martingale using subgaussian ...
Santosh Ghimire
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The laws of iterated and triple logarithms for extreme values of regenerative processes
Modern Stochastics: Theory and Applications, 2020 We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and normalized running maximum of a regenerative process satisfies a law of the iterated logarithm for the ...
Alexander Marynych, Ivan Matsak
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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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ON THE LAW OF THE ITERATED LOGARITHM [PDF]
Proceedings of the National Academy of Sciences, 1969 The law of the iterated logarithm provides a family of bounds all of the same order such that with probability one only finitely many partial sums of a sequence of independent and identically distributed random variables exceed some members of the family, while for others infinitely many do so.
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The law of iterated logarithm for the Ewens sampling formula
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jolita Norkūnienė
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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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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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