Modeling and forecasting daily average PM$_{10}$ concentrations by a seasonal ARFIMA model with volatility

التفاصيل البيبلوغرافية
العنوان: Modeling and forecasting daily average PM$_{10}$ concentrations by a seasonal ARFIMA model with volatility
المؤلفون: Reisen, V. A., Sarnaglia, A. J. Q, Reis Jr, N. C., Lévy-Leduc, C., Santos, J. M.
سنة النشر: 2012
المجموعة: Mathematics
Statistics
مصطلحات موضوعية: Statistics - Applications, Mathematics - Statistics Theory
الوصف: This paper considers the possibility that the daily average Particulate Matter (PM$_{10}$) concentration is a seasonal fractionally integrated process with time-dependent variance (volatility). In this context, one convenient extension is to consider the SARFIMA model (Reisen, et al, 2006a,b) with GARCH type innovations. The model is theoretically justified and its usefulness is corroborated with the application to PM$_{10}$ concentration in the city of Cariacica-ES (Brazil). The model adjusted was able to capture the dynamics in the series. The out-of-sample forecast intervals were improved by considering heteroscedastic errors and they were able to identify the periods of more volatility.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1206.2425
رقم الأكسشن: edsarx.1206.2425
قاعدة البيانات: arXiv