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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 2, Pages 51–55
(Mi vmumm481)
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This article is cited in 3 scientific papers (total in 3 papers)
Short notes
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.
Received: 09.02.2011
Citation:
A. A. Goldaeva, “Uniform estimator of the extremal index of stochastic recurrent sequences”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2, 51–55; Moscow University Mathematics Bulletin, 67:2 (2012), 82–85
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https://www.mathnet.ru/eng/vmumm481 https://www.mathnet.ru/eng/vmumm/y2012/i2/p51
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