Skew-Normal Model Theories and Their Applications

Rendao Ye is a professor of statistics from Hangzhou Dianzi University, whose research interests include skew-normal theory, Bootstrap approach, longitudinal data analysis and so on. He has finished more than 10 research projects as the principal investigator including national natural science foundation of China and national social science foundation of China, and has published more than 70 research papers on the statistics and economics professional journals. Also, he has 3 monographs on the statistics. Further, he has obtained 16 all kinds of honors and awards, such as the second prize of teaching achievement award of Zhejiang province and academic leader between young and middle-aged people of Zhejiang province. Kun Luo is an associate professor of economics from Hangzhou Normal University, whose research interests include environmental economics, international trade, econometrics and so on. She has finished more than 10 research projects as the principal investigator including national social science foundation of China and ministry of education of China, humanities and social science project. She has published more than 20 research papers on the economics professional journals. Also, she has obtained 11 all kinds of honors and awards, such as the second prize of excellent social sciences achievement of Hangzhou city and excellent prize of the sixth teaching skill contest of Zhejiang college teachers. Wenyan Zhu is a young research scholar in statistics from Hangzhou Dianzi University. Her research interests primarily revolve around classical statistical models and time series data analysis. With a solid professional foundation, she has achieved nine honors in subject competitions at the provincial level and above. For instance, she received the third prize in the national Teddy cup data mining challenge and third prize in the national market research and analysis competition. Yue Qi is a young research scholar in statistics from Hangzhou Dianzi University. She has been engaged in research on mathematical statistics methods, including skew-normal theory and mixed-effects model. She has accumulated some experience in modeling and data analysis in economic and financial statistics, social statistics, and other related fields. She has led a provincial level project, responsible for technical proposal writing, data processing, project coordination, etc. Also, she has participated in modeling competitions and won the second prize at the national level.

Preface. Introduction. Preliminary Knowledge. Location Parameter of Skew-Normal Population. Common Location Parameter of Skew-Normal Populations. One-Way Classification Model with Skew-Normal Random Effects. Unbalanced One-Way Classification Model with Skew-Normal Random Effects. Skew-Normal Unbalanced Heteroscedastic One-Way Classification Random Effects Model. Skew-Normal Unbalanced Panel Model with One-Way Error Component. Skew-Normal Two-Way Classification Random Effects Model with Interaction. Skew-Normal Mixed Effects Model. References. Index.