Results 11 to 20 of about 27,799 (321)
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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ITERATED PRIMITIVES OF LOGARITHMIC POWERS [PDF]
International Journal of Number Theory, 2011 The evaluation of iterated primitives of powers of logarithms is expressed in closed form. The expressions contain polynomials with coefficients given in terms of the harmonic numbers and their generalizations. The logconcavity of these polynomials is established.
Medina, Luis A. +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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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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Successive iterations and logarithmic means [PDF]
Operators and Matrices, 2013 The successive iteration (started by Lagrange and Gauss) produces a new mean from two given ones. Several examples of matrix means are given that require the proof of the matrix monotonicity of the corresponding representing function. The paper contains extensions of the logarithmic mean and it is obtained that the Stolarsky mean can be used also for ...
Ádám Besenyei, Dénes Petz
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Annales Mathematicae Silesianae, 2021 In this paper our considerations are focused on some Markov chain associated with certain piecewise-deterministic Markov process with a statedependent jump intensity for which the exponential ergodicity was obtained in [4].
Kubieniec Joanna
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On the future infimum of positive self-similar Markov processes [PDF]
, 2006 We establish integral tests and laws of the iterated logarithm for the upper envelope of the future infimum of positive self-similar Markov processes and for increasing self-similar Markov processes at 0 and infinity. Our proofs are based on the Lamperti
Pardo, J. C.
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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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Law of the Iterated Logarithm for some Markov operators [PDF]
, 2015 The Law of the Iterated Logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model ...
Hille, Sander C. +3 more
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