“When I went to school, they asked me what I wanted to be when I grew up. I wrote down ‘happy’. They told me I didn’t understand the assignment, and I told them they didn’t understand life.” – John Lennon

Time Series Analysis (2024)

References:[1] Time Series: Theory and Methods, Peter J. Brockwell, Richard A. Davis [2] Time Series for Macroeconomics and Finance, John H. Cochrane

Ⅰ.Stationary Process and Decomposition Model

Ⅱ.ARMA Process

Ⅲ.Prediction

Ⅳ.Estimations

Ⅴ.Spectral Decomposition

Linear Model (2022)

References:[1]Plane answers to complex questions: the theory of linear models, Ronald Christensen [2]Lecture Note from Aijiao Deng, Wuhan University

Ⅰ.Projection and Generalized Inverse

Ⅱ.Estimation

Ⅲ.Testing

Ⅳ.Variable Selection

Ⅴ.Regression Diagnosis

Ⅵ.Multicollinearity

Ⅶ.ANOVA

Ⅷ.ANCOVA

Ⅸ.Regression Analysis

Multivariate Statistics (2022)

References:[1] Applied Multivariate Statistical Analysis, Richard A. Johnson, Dean W. Wichern [2]应用多元统计分析, 高惠璇 [3] Applied Multivariate Statistical Analysis, Hardle, Simar.

Ⅰ.Multinormal Distribution

Ⅱ.Estimation

Ⅲ.Testing

Ⅳ.Regression Analysis

Ⅴ.Discriminant Analysis

Ⅵ.Cluster Analysis

Ⅶ.Principle Component Analysis

Ⅷ.Factor Analysis

Ⅸ.Canonical Correlation Analysis

Complement: Multidimensional scaling

Mathematical Statistics (2021)

References:[1]Statistical Inference, George Casella, Roger L. Berger [2]Mathematical Statistics and Data Analysis, Rice, John A.

Ⅰ.Random Samples

Ⅱ.Principles of Data Reduction

Ⅲ.Point Estimation

Ⅳ.Hypothese Testing

Ⅴ.Interval Estimation

Ⅵ.Asymptotic Evalution

Ⅶ.Decision Theory and Bayesian Inference

Complement: Fisher Information

Complement: Examine Statistical model