Results 1 to 10 of about 139 (132)

Sufficient and necessary conditions of convergence for ρ͠ mixing random variables

Open Mathematics, 2019
In the present paper, the sufficient and necessary conditions of the complete convergence and complete moment convergence for ρ͠-mixing random variables are established, which extend some well-known results.
Zhang Shui-Li, Miao Yu, Qu Cong
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Complete convergence for weighted sums of pairwise independent random variables

Open Mathematics, 2017
In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Ge Li, Liu Sanyang, Miao Yu
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Various limit theorems for ratios from the uniform distribution

Open Mathematics, 2016
In this paper, we consider the ratios of order statistics in samples from uniform distribution and establish strong and weak laws for these ratios.
Miao Yu, Sun Yan, Wang Rujun, Dong Manru
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Complete convergence for arrays of ratios of order statistics

Open Mathematics, 2019
Let {Xn,k, 1 ≤ k ≤ mn, n ≥ 1} be an array of independent random variables from the Pareto distribution. Let Xn(k) be the kth largest order statistic from the nth row of the array and set Rn,in,jn = Xn(jn)/Xn(in) where jn < in. The aim of this paper is to
Miao Yu, Ma Huanhuan, Xu Shoufang, Adler Andre   +3 more
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One sided strong laws for random variables with infinite mean

Open Mathematics, 2017
This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables.
Adler André
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Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima

Open 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
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Complete convergence of weighted sums under negative dependence

, 2011
Negatively dependent, Complete convergence, Weighted sums, 60F15,
H. Zarei, H. Jabbari
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On the law of large numbers for the bootstrap mean [PDF]

, 1992
Direct and elementary proofs are given for weak and strong laws of large numbers for bootstrap sample means under minimal moment conditions. Concerning the required rate of divergence of the bootstrap sample size, the strong laws obtained improve on ...
Csorgo, Sandor
core   +1 more source

Largest nearest-neighbour link and connectivity threshold in a polytopal random sample [PDF]

, 2023
A preprint version of the article is available at arXiv:2301.02506v1 [math.PR], https://arxiv.org/abs/2301.02506.. It has not been certified by peer-review.A CC BY or equivalent licence is applied to the AAM arising from this submission, in accordance ...
Penrose, MD, Higgs, F, Yang, X
core   +1 more source

A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]

Arab Journal of Mathematical Sciences
PurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali, El-Moustafid Mohamed, Fatima Ezzaki   +2 more
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