Infinite variance stable Gegenbauer ARFISMA models

DOI10.16929/AS/2021.2789.184zbMath1487.60033MaRDI QIDQ2138255

Filamory Abraham Michael Keita, Ouagnina Hili, Serge-Hippolyte Arnaud Kanga

Publication date: 11 May 2022

Published in: Afrika Statistika (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/afrika-statistika/volume-16/issue-3/Infinite-Variance-Stable-Gegenbaeur-Arfisma-Models/10.16929/as/2021.2789.184.full

zbMATH Keywords

Gegenbauer polynomialslong memorycyclic time seriesalpha stable distributionseasonal process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Statistics of extreme values; tail inference (62G32) Stable stochastic processes (60G52)

Cites Work

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• (MIS)SPECIFICATION OF LONG MEMORY IN SEASONAL TIME SERIES
• Estimating seasonal long-memory processes: a Monte Carlo study
• Estimation for seasonal fractional ARIMA with stable innovations via the empirical characteristic function method

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