scholarly journals Statistical Skorohod embedding problem: Optimality and asymptotic normality

2015 ◽  
Vol 104 ◽  
pp. 169-180 ◽  
Author(s):  
Denis Belomestny ◽  
John Schoenmakers
1998 ◽  
Vol 14 (4) ◽  
pp. 833-848
Author(s):  
Malcolm P. Quine ◽  
Władysław Szczotka
Keyword(s):  

2007 ◽  
Vol 76 (260) ◽  
pp. 2063-2076
Author(s):  
Ariel Pacetti
Keyword(s):  

1991 ◽  
Vol 28 (3) ◽  
pp. 529-538
Author(s):  
M. P. Quine

Points arrive in succession on an interval and immediately ‘cover' a region of length ½ to each side (less if they are close to the boundary or to a covered part). The location of a new point is uniformly distributed on the uncovered parts. We study the mean and variance of the total number of points ever formed, in particular as a → 0, in which case we also establish asymptotic normality.


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