law of iterated logarithms
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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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