The uniform central limit theorem for the tent map

2012 ◽  
Vol 82 (5) ◽  
pp. 1021-1027 ◽  
Author(s):  
Jongsig Bae ◽  
Changha Hwang ◽  
Doobae Jun
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Tent Map ◽  
Uniform Central Limit Theorem

Central limit theorem behavior in the skew tent map

2008 ◽  
Vol 38 (3) ◽  
pp. 789-805 ◽  
Author(s):  
Michael C. Mackey ◽  
Marta Tyran-Kamińska
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Tent Map ◽  
Skew Tent Map

scholarly journals The uniform central limit theorem for the Kaplan-Meier integral process

2003 ◽  
Vol 67 (3) ◽  
pp. 467-480 ◽  
Author(s):  
Jongsig Bae ◽  
Sungyeun Kim
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Entropy Condition ◽  
Random Censorship ◽  
Mild Conditions ◽  
Uniform Central Limit Theorem ◽  
Iterated Logarithm ◽  
Kaplan Meier ◽  
Integral Process

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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