AI Chat AI Image Generator AI Video Text to Speech

Strong Law of Large Numbers for Functionals of Random Fields With Unboundedly Increasing Covariances

11/10/2020

∙

by Illia Donhauzer, et al.

∙

∙

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.

Illia Donhauzer
2 publications
Andriy Olenko
15 publications
Andrei Volodin
2 publications

research

∙ 05/01/2020

Reduction principle for functionals of strong-weak dependent vector random fields

We prove the reduction principle for asymptotics of functionals of vecto...

0 Andriy Olenko, et al. ∙

research

∙ 10/24/2018

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...

0 Erkan Nane, et al. ∙

research

∙ 03/07/2019

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...

0 Antonino Leonardis, et al. ∙

research

∙ 12/30/2022

Deviation inequality for Banach-valued orthomartingales

We show a deviation inequality inequalities for multi-indexed martingale...

0 Davide Giraudo, et al. ∙

research

∙ 07/01/2019

Average case tractability of additive random fields with Korobov kernels

We investigate average case tractability of approximation of additive ra...

0 Jia Chen, et al. ∙

research

∙ 08/26/2022

Geostatistics for large datasets on Riemannian manifolds: a matrix-free approach

Large or very large spatial (and spatio-temporal) datasets have become c...

0 Mike Pereira, et al. ∙

research

∙ 03/31/2022

Consistency of randomized integration methods

For integrable functions we provide a weak law of large numbers for stru...

0 Julian Hofstadler, et al. ∙