The asymptotic distribution of weighted empirical distribution functions
David M. Mason
Stochastic Processes and their Applications, 1983, vol. 15, issue 1, 99-109
Abstract:
Let Gn denote the empirical distribution based on n independent uniform (0, 1) random variables. The asymptotic distribution of the supremum of weighted discrepancies between Gn(u) and u of the forms ||wv(u)Dn(u)|| and ||wv(Gn(u))Dn(u)||, where Dn(u) = Gn(u)-u, wv(u) = (u(1-u))-1+v and 0 [less-than-or-equals, slant] v
Date: 1983
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