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Some new results on the empirical copula estimator with applications

✍ Scribed by Swanepoel, J.W.H.; Allison, J.S.

Book ID: 120169968
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 384 KB
Volume: 83
Category: Article
ISSN: 0167-7152
DOI: 10.1016/j.spl.2013.03.027

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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