Precise Asymptotics on Second-Order Complete Moment Convergence of Uniform Empirical Process
Let {ξi,1≤i≤n} be a sequence of iid U[0, 1]-distributed random variables, and define the uniform empirical process Fn(t)=n-1/2∑i=1n(I{ξi≤t}-t),0≤t≤1, Fn=sup0≤t≤1|Fn(t)|. When the nonnegative function g(x) satisfies some regular monotone conditions, it proves that limϵ↘01/-logϵ∑...
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| Autors principals: | , |
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| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
Wiley
2014-01-01
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| Col·lecció: | Abstract and Applied Analysis |
| Accés en línia: | http://dx.doi.org/10.1155/2014/143581 |
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