On moment inequalities of the supremum o
On moment inequalities of the supremum of empirical processes with applications to kernel estimation
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Ibrahim A. Ahmad
📂
Article
📅
2002
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Elsevier Science
🌐
English
⚖ 97 KB
Let X 1 ; : : : ; X n be a random sample from a distribution function F. Let F n (x) = (1=n) n i=1 I (X i 6 x) denote the corresponding empirical distribution function. The empirical process is deÿned by In this note, upper bounds are found for E(D n ) and for E(e tDn ); where D n =sup x D n (x): A