iterated logarithms
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2011 ◽  
Vol 5 (1) ◽  
pp. 80-86 ◽  
Author(s):  
Hacène Belbachir ◽  
Djamel Berkane

A generalized formula is obtained for the sum of inverses of the prime counting function for a large class of arithmetical functions related to the iterated logarithms.


2009 ◽  
Vol 40 (1) ◽  
pp. 40-42
Author(s):  
J. Marshall Ash
Keyword(s):  

2002 ◽  
Vol 8 (3) ◽  
pp. 745-756 ◽  
Author(s):  
Piermarco Cannarsa ◽  
◽  
Vilmos Komornik ◽  
Paola Loreti ◽  
◽  
...  

2001 ◽  
Vol 71 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Arup Bose ◽  
Snigdhansu Chatterjee

AbstractWe study the last passage time and its asymptotic distribution for minimum contrast estimators defined through the minimization of a convex criterion function based on U-functionals. This includes cases of non-smooth estimators for vector valued parameters. We also derive a Bahadur-type representation and the law of iterated logarithms for such estimators.


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