Master’s Thesis Discussion – College of Computer Science and Mathematics, Department of Statistics and Informatics – Student: Waseem Ahmed Mahmood Mustafa

Discussion of the Master’s Thesis in the College of Computer Science and Mathematics – Department of Statistics and Informatics, entitled:

“Application of the Fractionally Integrated GARCH Model“

Supervised by: Asst. Prof. Dr. Heyam Abd Al-Majeed Hayawi

The thesis addressed Modeling long-memory volatility in Brent crude oil prices using a hybrid MODWT-FIGARCH framework to test the Fractal Market Hypothesis.

The study addressed Analyzing Brent crude oil price series (2021–2025) across wavelet levels D1–D6 and detecting structural breaks.

The study aims to Introducing a hybrid MODWT-FIGARCH-t methodology to reveal fractional integration parameters and support the Fractal Market Hypothesis in oil markets.

The discussion committee consists of:

Asst. Prof. Dr. Haifaa Abd Al-Jawad Saeed (Chairman)

Asst. Prof. Dr. Alaa Abd Al-Sattar Dawoud (Member)

Dr. Omar Qusay Jasim (Member)

Prof. Dr. Heyam Abd Al-Majeed Hayawi (Member and Supervisor)