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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aPh.D
099 _aCai01.03.01.Ph.D.2020.Em.B
100 0 _aEman Mahmoud Abdelmetaal Mohamed
245 1 0 _aBayesian analysis of DSARMA-GARCH models /
_cEman Mahmoud Abdelmetaal Mohamed ; Supervised Mohamed Ali Ismail
246 1 5 _aالتحليل البيزى لنماذج أرما- جارش ذات الموسمية المزدوجة
260 _aCairo :
_bEman Mahmoud Abdelmetaal Mohamed ,
_c2020
300 _a87 P. :
_bcharts ;
_c25cm
502 _aThesis (Ph.D.) - Cairo University - Faculty of Economics and Political Science - Department of Statistics
520 _aMultiple seasonal patterns are noticeable in time series data. Therefore, seasonal autoregressive moving average (SARMA) models have been recently extended to double SARMA (DSARMA) models. In this study, DSARMA models is extended to double seasonal autoregressive moving average- generalized autoregressive conditional heteroskedasticity (DSARMA-GARCH) in order not only to capture multiple seasonal patterns but also to take into account the volatility of the series at the same time. A Bayesian approach is used here to estimate these models. Although, DSARMA-GARCH models are non-linear in their coefficients, the Metropolis-Hastings (MH) algorithm is one of the most used Markov Chain Monte Carlo (MCMC) methods to overcome this problem.Therefore, the MH algorithm is used and investigated to provide Bayesian estimation of DSARMA-GARCH models. The obtained results demonstrate that this algorithm is suitable for Bayesian estimation of DSARMA-GARCH models
530 _aIssued also as CD
653 4 _aHastings algorithm
653 4 _aMetropolis
653 4 _aMultiple seasonality
700 0 _aMohamed Ali Ismail ,
_eSupervisor
905 _aNazla
_eRevisor
905 _aShimaa
_eCataloger
942 _2ddc
_cTH
999 _c78949
_d78949