scholarly journals Some central limit theorems for Markov paths and some properties of Gaussian random fields

1987 ◽  
Vol 24 (2) ◽  
pp. 157-202 ◽  
Author(s):  
Robert J. Adler ◽  
R. Epstein
Keyword(s):  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Gaussian Random Fields ◽  
Central Limit Theorems

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.

A note on two-level superprocesses

2004 ◽  
Vol 41 (1) ◽  
pp. 202-210
Author(s):  
Wen-Ming Hong
Keyword(s):  
Brownian Motion ◽  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Gaussian Random Fields ◽  
Central Limit Theorems ◽  
Gaussian Fields ◽  
Super Brownian Motion ◽  
Random Immigration

We prove some central limit theorems for a two-level super-Brownian motion with random immigration, which lead to limiting Gaussian random fields. The covariances of those Gaussian fields are explicitly characterized.

A note on two-level superprocesses

2004 ◽  
Vol 41 (01) ◽  
pp. 202-210
Author(s):  
Wen-Ming Hong
Keyword(s):  
Brownian Motion ◽  
Central Limit ◽  
Random Fields ◽  
Limit Theorems ◽  
Gaussian Random Fields ◽  
Central Limit Theorems ◽  
Gaussian Fields ◽  
Super Brownian Motion ◽  
Random Immigration

We prove some central limit theorems for a two-level super-Brownian motion with random immigration, which lead to limiting Gaussian random fields. The covariances of those Gaussian fields are explicitly characterized.

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 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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