strongly mixing processes
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Author(s):  
Amour T. Gbaguidi Amoussou ◽  
Freedath Djibril Moussa ◽  
Carlos Ogouyandjou ◽  
Mamadou Abdoul Diop


2020 ◽  
Vol 156 ◽  
pp. 108581 ◽  
Author(s):  
Florence Merlevède ◽  
Magda Peligrad




1996 ◽  
Vol 95 (1) ◽  
pp. 115-133 ◽  
Author(s):  
Robert M. Burton ◽  
Manfred Denker ◽  
Meir Smorodinsky


1976 ◽  
Vol 13 (4) ◽  
pp. 723-732 ◽  
Author(s):  
M. Rosenblatt

A class of limit theorems involving asymptotic normality is derived for stationary processes whose spectral density has a singular behavior near frequency zero. Generally these processes have ‘long-range dependence’ but are generated from strongly mixing processes by a fractional integral or derivative transformation. Some related remarks are made about random solutions of the Burgers equation.



1976 ◽  
Vol 13 (04) ◽  
pp. 723-732 ◽  
Author(s):  
M. Rosenblatt

A class of limit theorems involving asymptotic normality is derived for stationary processes whose spectral density has a singular behavior near frequency zero. Generally these processes have ‘long-range dependence’ but are generated from strongly mixing processes by a fractional integral or derivative transformation. Some related remarks are made about random solutions of the Burgers equation.





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