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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 2, Pages 51–55 (Mi vmumm481)

This article is cited in 3 papers

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Uniform estimator of the extremal index of stochastic recurrent sequences

A. A. Goldaeva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A uniform upper bound of the extremal index of some stochastic recurrent sequences is obtained in the paper. We used a new approach consisting in the consideration of sequences of observations (in deterministic or random moments of time) of a continuous time process given by a stochastic differential equation.

Key words: extremal index, tail index, stochastic difference equations, stochastic differential equations.

UDC: 519.21

Received: 09.02.2011


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:2, 82–85

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