Results 1 to 10 of about 124 (114)
On the Law of the Iterated Logarithm
Annals of Probability, 1974 A triumvirate of sufficient conditions is given for unbounded, independent random variables to obey the Law of the Iterated Logarithm (LIL). As special cases, new results for weighted i.i.d. random variables and the Hartman-Wintner theorem are obtained.
Henry Teicher
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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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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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Entropy, 2021 In this paper, we obtain the law of iterated logarithm for linear processes in sub-linear expectation space. It is established for strictly stationary independent random variable sequences with finite second-order moments in the sense of non-additive ...
Wei Liu, Yong Zhang
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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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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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Iterated Law of Iterated Logarithm
The Annals of Probability, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burdzy, Krzysztof, San Martin, Jaime
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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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The law of the iterated logarithm for LNQD sequences
Journal of Inequalities and Applications, 2018 Let { ξ i , i ∈ Z } $\{\xi_{i},i\in{\mathbb{Z}}\}$ be a stationary LNQD sequence of random variables with zero means and finite variance. In this paper, by the Kolmogorov type maximal inequality and Stein’s method, we establish the result of the law of ...
Yong Zhang
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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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