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Extremes of Nonlinear Time Series

Kamil Feridun Turkman, Manuel González Scotto and Patrícia de Zea Bermudez
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Kamil Feridun Turkman: Faculdade de Ciências Universidade de Lisboa, Departmento de Estatística e Investigação Operacional
Manuel González Scotto: Universidade de Aveiro, Departamento de Matemática
Patrícia de Zea Bermudez: Faculdade de Ciências Universidade de Lisboa, Departmento de Estatística e Investigação Operacional

Chapter Chapter 3 in Non-Linear Time Series, 2014, pp 91-120 from Springer

Abstract: Abstract We have seen in Sect. 2.1.4 that nonlinear processes, due to their dependence on initial conditions, often magnify error causing unstable behavior. Even when stationary solutions exist, this noise magnification and dependence on initial conditions reflects on the tails of the stationary distribution, as well as on how large values cluster.

Keywords: Nonlinear Process; Heavy Tail; Tail Dependence; Tail Index; Gumbel Distribution (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-07028-5_3

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DOI: 10.1007/978-3-319-07028-5_3

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