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On the asymptotic behavior of the sequence and series of running maxima from a real random sequence

โœ Scribed by Rita Giuliano Antonini; Thuntida Ngamkham; Andrei Volodin


Book ID
119373108
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
227 KB
Volume
83
Category
Article
ISSN
0167-7152

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Let \(\hat{F}_{n}\) be an estimator obtained by integrating a kernel type density estimator based on a random sample of size \(n\) from smooth distribution function \(F\). A central limit theorem is established for the target statistic \(\hat{F}_{n}\left(U_{n}\right)\) where the underlying random va