Results 1 to 10 of about 89,675 (203)
Open Mathematics, 2020 In this article, an errors-in-variables regression model in which the errors are negatively superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type strong law of large numbers for NSD random variables is established. Then,
Zhang Yu +3 more
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Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces [PDF]
, 2016 summary:The aim of the paper is to establish strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in a convex combination space with or without compactly uniformly integrable condition.
Nguyen, Pham Tri, Quang, Nguyen Van
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Strong laws for weighted sums of widely orthant dependent random variables and applications
Open MathematicsIn this study, the strong law of large numbers and the convergence rate for weighted sums of non-identically distributed widely orthant dependent random variables are established.
Zhu Yong, Wang Wei, Chen Kan
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Strong law of large numbers for functionals of random fields with unboundedly increasing covariances
, 2021 The paper proves the Strong Law of Large Numbers for integral functionals of random fields with unboundedly increasing covariances. The case of functional data and increasing domain asymptotics is studied.
Andrei Volodin (11166615) +2 more
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Strong law of large numbers for fragmentation processes [PDF]
, 2010 In the spirit of a classical result for Crump-Mode-Jagers processes, we prove a strong law of large numbers for fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure ...
Kyprianou, Andreas E +5 more
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On the weak law of large numbers for normed weighted sums of I.I.D. random variables
International Journal of Mathematics and Mathematical Sciences, 1991 For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
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On complete convergence in a Banach space
International Journal of Mathematics and Mathematical Sciences, 1994 Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
Anna Kuczmaszewska, Dominik Szynal
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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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MathematicsWe study strong laws of large numbers in a non-linear framework based on conditional sub-additive expectations and conditional sub-additive capacities. Using an axiomatic approach to conditional sub-additive expectation, we establish a conditional Hájek ...
Nyanga Honda Masasila, István Fazekas
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A Note on the Strong Law of Large Numbers for Arrays of Rowwise ρ˜-Mixing Random Variables
Discrete Dynamics in Nature and Society, 2011 Let {Xni,i≥1,n≥1} be an array of rowwise ρ˜-mixing random variables. Some strong law of large numbers for arrays of rowwise ρ˜-mixing random variables is studied under some simple and weak conditions.
Aiting Shen, Shuhe Hu
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