Results 31 to 40 of about 19,694 (357)

Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations

open access: yesJournal of Mathematical Analysis and Applications, 2018
Qunying Wu, Yuanying Jiang
exaly   +2 more sources

Law of the Iterated Logarithm for some Markov operators [PDF]

open access: yes, 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
core   +3 more sources

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

The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality

open access: yesAIMS Mathematics, 2021
Let $ \{Y_n, n\geq 1\} $ be sequence of random variables with $ EY_n = 0 $ and $ \sup_nE|Y_n|^p < \infty $ for each $ p > 2 $ satisfying Rosenthal type inequality.
Haichao Yu, Yong Zhang
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

Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process [PDF]

open access: yesElectronic Journal of Probability, 2020
In his, by now, classical work from 1981, Nerman made extensive use of a crucial martingale $(W_t)_{t \geq 0}$ to prove convergence in probability, in mean and almost surely, of supercritical general branching processes (a.k.a.
A. Iksanov, Konrad Kolesko, M. Meiners
semanticscholar   +1 more source

Strong limit theorems in the multi-color generalized allocation scheme [PDF]

open access: yes, 2014
The generalized allocation scheme is studied. Its extension for coloured balls is defined. Some analogues of the Law of the Iterated Logarithm and the Strong Law of Large Numbers are obtained for the number of boxes containing fixed numbers of balls ...
Chuprunov, Alexey, Fazekas, István
core   +2 more sources

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