Saudi Arabia is the largest petroleum producer and exporter in the world. Saudi Arabian
economy hugely depends on production and export of oil. This motivates us to do research on oil
production of Saudi Arabia. In our research the prime objective is to find the most appropriate
models for analyzing Saudi Arabia oil production data. Initially we think of considering
integrated autoregressive moving average (ARIMA) models to fit the data. But most of the
variables under study show some kind of volatility and for this reason we finally decide to
consider autoregressive conditional heteroscedastic (ARCH) models for them. If there is no
ARCH effect, it will automatically become an ARIMA model. But the existence of missing
values for almost each of the variable makes the analysis part complicated since the estimation of
parameters in an ARCH model does not converge when observations are missing. As a remedy
to this problem we estimate missing observations first. We employ the expectation maximization
(EM) algorithm for estimating the missing values. But since our data are time series data, any
simple EM algorithm is not appropriate for them. There is also evidence of the presence of
outliers in the data. Therefore we finally employ robust regression least trimmed squares (LTS) based EM algorithm to estimate the missing values. After the estimation of missing values we
employ the White test to select the most appropriate ARCH models for all sixteen variables
under study. Normality test on resulting residuals is performed for each of the variable to check
the validity of the fitted model. / ARCH/GARCH models, outliers and robustness : tests for normality and estimation of missing values in time series -- Outlier analysis and estimation of missing values by robust EM algorithm for Saudi Arabia oil production data -- Selection of ARCH models for Saudi Arabia oil production data. / Department of Mathematical Sciences
| Identifer | oai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:123456789/197795 |
| Date | 14 December 2013 |
| Creators | Albarrak, Abdulmajeed Barrak |
| Contributors | Rahmataullaha Imana, E. Eica. Ema. |
| Source Sets | Ball State University |
| Detected Language | English |
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