Moment inequalities and the central limit theorem for integrals of random fields with mixing

1987 ◽  
Vol 36 (4) ◽  
pp. 461-467 ◽  
Author(s):  
V. V. Gorodetskii
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Random Fields ◽  
Moment Inequalities ◽  
The Central Limit Theorem

scholarly journals A Central Limit Theorem for Spatial Observations

2016 ◽  
Vol 41 (3) ◽  
Author(s):  
István Fazekas ◽  
Zsolt Karácsony ◽  
Renáta Vas
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Random Field ◽  
Central Limit ◽  
Random Fields ◽  
Irregular Domains ◽  
The Central Limit Theorem

The Central Limit Theorem is proved for m-dependent random fields. The random field is observed in a sequence of irregular domains. The sequence of domains is increasing and at the same time the locations of the observations become more and more dense in the domains.

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