Limit Theorems for Linear Random Fields with Tapered Innovations. I: The Gaussian case

2021 ◽  
Author(s):  
Vygantas Paulauskas
Keyword(s):  
Random Fields ◽  
Limit Theorems ◽  
Gaussian Case

scholarly journals Central limit theorems in Hölder topologies for Banach space valued random fields

2004 ◽  
Vol 49 (1) ◽  
pp. 109-125
Author(s):  
Alfredas Rackauskas ◽  
Alfredas Rackauskas ◽  
Charles Suquet ◽  
Charles Suquet
Keyword(s):  
Banach Space ◽  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Central Limit Theorems

scholarly journals On limit theorems for random fields

2009 ◽  
Vol 50 ◽  
Author(s):  
Rimas Banys
Keyword(s):  
Metric Space ◽  
Random Fields ◽  
Limit Theorems ◽  
Characteristic Property ◽  
Complete Separable Metric Space ◽  
Separable Metric Space

A complete separable metric space of functions defined on the positive quadrant of the plane is constructed. The characteristic property of these functions is that at every point x there exist two lines intersecting at this point such that limits limy→x f (y) exist when y approaches x along any path not intersecting these lines. A criterion of compactness of subsets of this space is obtained.

scholarly journals Non-central limit theorems for functionals of random fields on hypersurfaces

2020 ◽  
Vol 24 ◽  
pp. 315-340
Author(s):  
Andriy Olenko ◽  
Volodymyr Vaskovych
Keyword(s):  
Rate Of Convergence ◽  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Gaussian Random Fields ◽  
Central Limit Theorems ◽  
Integral Functionals ◽  
Asymptotic Results ◽  
Non Linear ◽  
Linear Integral

This paper derives non-central asymptotic results for non-linear integral functionals of homogeneous isotropic Gaussian random fields defined on hypersurfaces in ℝd. We obtain the rate of convergence for these functionals. The results extend recent findings for solid figures. We apply the obtained results to the case of sojourn measures and demonstrate different limit situations.

scholarly journals Non-central limit theorems for random fields subordinated to gamma-correlated random fields

Bernoulli ◽  
2017 ◽  
Vol 23 (4B) ◽  
pp. 3469-3507
Author(s):  
Nikolai Leonenko ◽  
M. Dolores Ruiz-Medina ◽  
Murad S. Taqqu
Keyword(s):  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Central Limit Theorems
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