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Reduction principle for functionals of strong-weak dependent vector random fields
We prove the reduction principle for asymptotics of functionals of vecto...
05/01/2020 ∙ by Andriy Olenko, et al. ∙
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Strong laws of large numbers for arrays of random variables and stable random fields
Strong laws of large numbers are established for random fields with weak...
10/24/2018 ∙ by Erkan Nane, et al. ∙
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On almost sure limit theorems for detecting long-range dependent, heavy-tailed processes
Marcinkiewicz strong law of large numbers, n^-1/p∑_k=1^n (d_k- d)→ 0 alm...
07/12/2020 ∙ by Michael A. Kouritzin, et al. ∙
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Hybrid Continued Fractions and n-adic algorithms, with applications to cryptography and "unimaginable' numbers
This paper continues the author's previous studies on continued fraction...
03/07/2019 ∙ by Antonino Leonardis, et al. ∙
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Average case tractability of additive random fields with Korobov kernels
We investigate average case tractability of approximation of additive ra...
07/01/2019 ∙ by Jia Chen, et al. ∙
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Pattern Recognition in SAR Images using Fractional Random Fields and its Possible Application to the Problem of the Detection of Oil Spills in Open Sea
In this note we deal with the detection of oil spills in open sea via se...
03/07/2019 ∙ by Agustín Mailing, et al. ∙
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Tensor train-Karhunen-Loève expansion for continuous-indexed random fields using higher-order cumulant functions
The goals of this work are two-fold: firstly, to propose a new theoretic...
07/15/2019 ∙ by Ling-Ze Bu, et al. ∙
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Strong Law of Large Numbers for Functionals of Random Fields With Unboundedly Increasing Covariances
11/10/2020 ∙ by Illia Donhauzer, et al. ∙
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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. Conditions to guarantee that the Strong Law of Large Numbers holds true are provided. The considered scenarios include wide classes of non-stationary random fields. The discussion about application to weak and long-range dependent random fields and numerical examples are given.
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