The uniform central limit theorem for the tent map

2012 ◽  
Vol 82 (5) ◽  
pp. 1021-1027 ◽  
Author(s):  
Jongsig Bae ◽  
Changha Hwang ◽  
Doobae Jun
2008 ◽  
Vol 38 (3) ◽  
pp. 789-805 ◽  
Author(s):  
Michael C. Mackey ◽  
Marta Tyran-Kamińska

2003 ◽  
Vol 67 (3) ◽  
pp. 467-480 ◽  
Author(s):  
Jongsig Bae ◽  
Sungyeun Kim

Let be the Kaplan-Meier integral process constructed from the random censorship model. We prove a uniform central limit theorem for {Un} under the bracketing entropy condition and mild conditions due to the censoring effects. We also prove a sequential version of the uniform central limit theorem that will give a functional law of the iterated logarithm of Strassen type.


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