Results 61 to 70 of about 177,430,963 (194)

The Law of the Iterated Logarithm for L_p-Norms of Kernel Estimators of Cumulative Distribution Functions

Mathematics
In this paper, we consider the strong convergence of Lp-norms (p≥1) of a kernel estimator of a cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for the Lp-norms of empirical processes is extended
Fuxia Cheng
doaj   +1 more source

The law of the iterated logarithm for locally univalent functions [PDF]

, 2002
In this paper we prove a sharp version of the Makarov law of the iterated logarithm. In particular, we show that the constant in the right side of this law depends on an asymptotic behaviour of the integral means of the derivative of an analytic function.
Kayumov, I.R., Kayumov I.
core  

Asymptotics for the Moment Convergence of -Statistics in LIL

Journal of Inequalities and Applications, 2010
Let be a -statistic based on a symmetric kernel and i.i.d. samples . In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of are obtained, which extend previous results concerning ...
Fu Ke-Ang
doaj  

The Law of the Iterated Logarithm for the Error Distribution Estimator in First-Order Autoregressive Models

Axioms
This paper investigates the asymptotic behavior of kernel-based estimators for the error distribution in a first-order autoregressive model with dependent errors. The model assumes that the error terms form an α-mixing sequence with an unknown cumulative
Bing Wang, Yi Jin, Lina Wang, Xiaoping Shi, Wenzhi Yang   +4 more
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Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction

Discrete Dynamics in Nature and Society, 2018
Let X={Xi,i≥1} be a sequence of real valued random variables, S0=0 and Sk=∑i=1kXi  (k≥1). Let σ={σ(x),x∈Z} be a sequence of real valued random variables which are independent of X’s.
Wensheng Wang, Anwei Zhu
doaj   +1 more source

Law of the iterated logarithm for nonstationary negatively associated random fields(非平稳NA随机变量域的重对数律)

Zhejiang Daxue xuebao. Lixue ban, 2003
利用Rosenthal型最大值不等式、Kolmogorov型指数不等式及Stein方法,邵启满、苏淳就强平稳的NA随机变量于1999年建立了重对数律.本文利用与之类似的截尾方法,在期望为0,且2+τ阶距有限的条件下,得到了非平稳的NA随机变量域的重对数律.
HUANGWei(黄炜)
doaj   +1 more source

The law of the iterated logarithm for tail sums [PDF]

Doctor of PhilosophyDepartment of MathematicsCharles N. MooreThe main purpose of this thesis is to derive the law of the iterated logarithm for tail sums in various contexts in analysis.
Ghimire, Santosh
core  

A Nonlinear Dynamical View of Kleiber's Law on the Metabolism of Plants and Animals. [PDF]

Entropy (Basel), 2023
Camacho-Vidales LJ, Robledo A.
europepmc   +1 more source

Law of the iterated logarithm for random graphs

Random Structures & Algorithms, 2018
AbstractA milestone in probability theory is the law of the iterated logarithm (LIL), proved by Khinchin and independently by Kolmogorov in the 1920s, which asserts that for iid random variables with mean 0 and variance 1In this paper we prove that LIL holds for various functionals of random graphs and hypergraphs models.
Asaf Ferber, Daniel Montealegre, Van Vu
openaire   +3 more sources

A Survey on the Integral Means Spectrum for Conformal Mappings [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2015
The present survey is devoted to the description of the results about estimates of the integral means in various classes of analytic functions. Great importance is given to the boundary properties of conformal mappings.
I.R. Kayumov
doaj