A functional central limit theorem for the quadratic variation of a class of gaussian random fields

1989 ◽  
Vol 17 (2) ◽  
pp. 247-251 ◽  
Author(s):  
C. M. Deo
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Random Fields ◽  
Gaussian Random Fields ◽  
Quadratic Variation ◽  
Functional Central Limit Theorem ◽  
Functional Central Limit

scholarly journals A Functional Central Limit Theorem for Kernel Type Density Estimators

2016 ◽  
Vol 35 (4) ◽  
Author(s):  
István Fazekas ◽  
Peter Filzmoser
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Random Fields ◽  
Functional Central Limit Theorem ◽  
Integrable Functions ◽  
Square Integrable Functions ◽  
Functional Central Limit ◽  
Kernel Type ◽  
Density Estimators

Kernel type density estimators are studied for random fields. A functional central limit theorem in the space of square integrable functions is proved if the locations of observations become more and more dense in an increasing sequence of domains.

Sign in / Sign up

Export Citation Format

Share Document