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

11/10/2020 ∙ by Illia Donhauzer, et al. ∙ 0 ∙ share

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.

READ FULL TEXT

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. ∙ 0 ∙ share

read it
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. ∙ 0 ∙ share

read it
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. ∙ 0 ∙ share

read it
Limit theorems for filtered long-range dependent random fields

This article investigates general scaling settings and limit distributio...
12/18/2018 ∙ by Tareq Alodat, et al. ∙ 0 ∙ share

read it
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. ∙ 0 ∙ share

read it
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. ∙ 0 ∙ share

read it
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. ∙ 0 ∙ share

read it

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

Authors

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

Strong laws of large numbers for arrays of random variables and stable random fields

Hybrid Continued Fractions and n-adic algorithms, with applications to cryptography and "unimaginable' numbers

Limit theorems for filtered long-range dependent random fields

On almost sure limit theorems for detecting long-range dependent, heavy-tailed processes

Average case tractability of additive random fields with Korobov kernels

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

This week in AI