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Weak Convergence of the Empirical Mean Excess Process with Application to Estimate the Negative Tail Index

✍ Scribed by Jürg Hüsler; Deyuan Li


Publisher
Springer US
Year
2008
Tongue
English
Weight
405 KB
Volume
10
Category
Article
ISSN
1387-5841

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✍ Ibrahim A. Ahmad 📂 Article 📅 2002 🏛 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