Bayesian tapering test for comparing two spectral densities with application to EEG data
Chenyi Pan · 2016
Human brain is still a mystery and finding the possible relationships between different parts of the brain is an important and unsolved topic.Our research provides a new perspective to explore this mystery by looking at the Electroencephalography (EEG) data recorded when the subject is performing cognitive task or gambling task.EEG is the multichannel recordings of the electrical activities generated by collections of neurons within the brain.Different channels reflect the It is a genuine pleasure to press my deep sense of thanks and gratitude to all people who helped me and have contributed in making this dissertation research possible.Firstly, I want to thank my advisor Prof. Spitzner.He is so nice, patient and smart.He always think of his students and try to help his students both in research and in life.He can always provide me suggestions of which direction I should go whenever I am confused.He can always answer my questions whenever I get stuck.He always encourage me and give me confidence whenever I am upset.Every time I felt too stressful and wanted to give up, I could gain confidence and courage from him.He is such a good advisor that he can always find the potential of students and encourage them to achieve their best.Under his supervision, I finally understand the true meaning of the training in PHD program.I am so proud that I can be one of his students.I also want to thank my co-advisor Prof. Keenan.He provided a lot of very important inputs in our real data application part.I kept bothering him with a lot of different questions.He is so patient that he always answer my questions and share with me his ideas.I really appreciate his time and efforts in trying to help me.I really appreciate Prof. Jianhui Zhou's help in his courses I have taken and being my committee member.He has solid background in both theoretical and practical parts of statistics.I was benefited a lot from the classes he taught including probability and theory, longitudinal data analysis, categorical data analysis etc.He also provided a lot of suggestions and helps in this dissertation research.I am especially grateful to Prof. Guofen Yan in the Department of Biostatistics in School of Medicine.I started to work as the research