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math.PR2012
Besov regularity of the uniform empirical process
Gane Samb Lo, Ahmadou Bamba Sow
The paths of Brownian motion have been widely studied in the recent years relatively in Besov spaces $B_{p, \infty}^\a$. The results are the same as to the Brownian bridge. In fact…
math.PR2012
Multivariate Normality of a class of statistics based on extreme observations
Gane Samb lo
Let be a sequence of independent random variables ()with common distribution function () such that and for each let $X_{1,n}\leq X…
math.PR2012
On Hàjek - Rényi type inequality and application
Gane Samb Lo, Cheikha Hamallah Ndiaye
In this paper, we establish a new Hájek - Rényi's type inequality and obtain strong law of large numbers (SLLN) for arbitrary random variables. We base our methods on demimartingal…