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Iterated Law of Iterated Logarithm

open access: yesThe Annals of Probability, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burdzy, Krzysztof, San Martin, Jaime
openaire   +2 more sources

The law of iterated logarithm for the Ewens sampling formula

open access: yesLietuvos Matematikos Rinkinys, 2004
There is not abstract.
Jolita Norkūnienė
doaj   +3 more sources

Weihrauch-completeness for layerwise computability [PDF]

open access: yesLogical 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
doaj   +1 more source

The Law of the Iterated Logarithm for Random Dynamical System with Jumps and State-Dependent Jump Intensity

open access: yesAnnales 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
doaj   +1 more source

非平稳弱负相关随机变量的重对数律(A law of the iterated logarithm for non-stationary weakly negatively associated random vectors)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2000
The aim of this paper is to establish a law of the iterated logarithm for non-stationary weakly negatively associated random vectors in under the finite second moment.
RUANHong-shun(阮宏顺)   +2 more
doaj   +1 more source

Asymptotics for the Moment Convergence of U-Statistics in LIL

open access: yesJournal of Inequalities and Applications, 2010
Let Un be a U-statistic based on a symmetric kernel h(x,y) and i.i.d. samples {X,Xn;n≥1}. In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of Un are obtained, which extend previous
Ke-Ang Fu
doaj   +1 more source

Representations for Integral Functionals of Kernel Density Estimators

open access: yesAustrian 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
doaj   +1 more source

One-Sided Version of Law of the Iterated Logarithm for Summations of Signum Functions

open access: yesJournal of Mathematics, 2023
The law of the iterated logarithm (LIL), which describes the rate of convergence for a convergent lacunary series, was established by R. Salem and A. Zygmund.
Santosh Ghimire
doaj   +1 more source

Note on Precise Rates in the Law of Iterated Logarithm for the Moment Convergence of I.I.D.: Random Variables under Sublinear Expectations

open access: yesDiscrete 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
doaj   +1 more source

On the converse to the iterated logarithm law [PDF]

open access: yesJournal of Applied Probability, 1968
Let Xi, i = 1, 2, 3,… be a sequence of independent and identically distributed random variables with law ℓ(X) and write. if EX = 0 and EX2 = σ2 < ∞, the law of the iterated logarithm (Hartman and Wintner [1]) tells us that
openaire   +2 more sources

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