Results 11 to 20 of about 1,156 (90)

Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information

open access: yesEntropy, 2020
The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encoder and decoder.
Lampros Gavalakis, Ioannis Kontoyiannis
doaj   +1 more source

Limit properties for ratios of order statistics from exponentials

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
doaj   +1 more source

Almost sure central limit theorems for strongly mixing and associated random variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n)=O((loglogn)−1−δ).
Khurelbaatar Gonchigdanzan
doaj   +1 more source

A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences

open access: yesJournal of Inequalities and Applications, 2016
We prove some almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences under some mild conditions.
Xiang Zeng, Qunying Wu
doaj   +1 more source

Spatial quadratic variations for the solution to a stochastic partial differential equation with elliptic divergence form operator

open access: yesModern Stochastics: Theory and Applications, 2019
We introduce a stochastic partial differential equation (SPDE) with elliptic operator in divergence form, with measurable and bounded coefficients and driven by space-time white noise.
Mounir Zili, Eya Zougar
doaj   +1 more source

Almost Sure Central Limit Theorem for Error Variance Estimator in Pth-Order Nonlinear Autoregressive Processes

open access: yesMathematics
In this paper, under some suitable assumptions, using the Taylor expansion, Borel–Cantelli lemma and the almost sure central limit theorem for independent random variables, the almost sure central limit theorem for error variance estimator in the pth ...
Kaiyu Liang, Yong Zhang
doaj   +1 more source

Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima

open access: yesOpen Mathematics, 2017
Our goal is to state and prove the almost sure central limit theorem for maxima (Mn) of X1, X2, ..., Xn, n ∈ ℕ, where (Xi) forms a stochastic process of identically distributed r.v.’s of the continuous type, such that, for any fixed n, the family of r.v.’
Dudziński Marcin, Furmańczyk Konrad
doaj   +1 more source

Note on the almost sure central limit theorem for ρ--mixing sequences(ρ--混合序列几乎处处中心极限定理的注记)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2005
利用SHAO提供的几乎处处中心极限定理的必要条件:在中心极限定理成立的条件下,对任意的Lipschitz函数f,有ε0>0,,研究了ρ--混合序列几乎处处中心极限定理,深化和改进了BROSAMLER的结论,并且把NA序列的几乎处处中心定理作为它的一个推论.
ZHOUHui(周慧)
doaj   +1 more source

Almost sure central limit theorem of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的几乎处处中心极限定理)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2007
关于一列独立同分布正随机变量部分和乘积的几乎处处中心极限定理,已得出了结果.本文把独立性推广到相依随机变量的情形,在ϕ-混合序列部分和乘积的渐近对数正态性基础上,以一个三角列的几乎处处中心极限定理为跳板,证明了在的条件下的几乎处处中心极限定理.
HUXing(胡星), XUShan(徐杉)
doaj   +1 more source

Almost sure functional central limit theorems for multiparameter stochastic processes

open access: yesCondensed Matter Physics, 2008
We present almost sure central limit theorems for stochastic processes whose time parameter ranges over the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of Prokhorov (1956) for such processes. We
E.B.Czerebak-Morozowicz   +2 more
doaj   +1 more source

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