Existence and consistency of the maximum likelihood estimator for the extreme value index

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منابع مشابه

On Maximum Likelihood Estimation of the Extreme Value Index

Received November 2002; revised June 2003. Supported by Netherlands Organization for Scientific Research through the Netherlands Mathematical Research Foundation and by the Heisenberg program of the DFG. Supported in part by POCTI/FCT/FEDER. AMS 2000 subject classifications. Primary 62G32; secondary 62G20.

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A moment estimator for the conditional extreme-value index

In extreme value theory, the so-called extreme-value index is a parameter that controls the behavior of a distribution function in its right tail. Knowing this parameter is thus essential to solve many problems related to extreme events. In this paper, the estimation of the extreme-value index is considered in the presence of a random covariate, whether the conditional distribution of the varia...

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ژورنال

عنوان ژورنال: Journal of Multivariate Analysis

سال: 2009

ISSN: 0047-259X

DOI: 10.1016/j.jmva.2008.08.009