Chapter0: Vector and Matrix (fuel for gap)
Chapter1: Basic Concepts and Notions
Chapter2: Statistical Test and Analysis of Variance
Chapter3: Correlation and Regression and an example of coreelation test
Chapter4: Linear multivariate statistical analysis
Chapter5: Time Series Analysis
Advanced topics
Filtering and Spectrum analysis and Digital Filter
Nonlinear Regression - Neural Network Approach
Nonlinear Multivariate Statistical Analysis
Estimation of Potential Predictability
Ensemble-based Data Assimilation Methods
Extra readings
Review paper on Nonlinear multivariate statistical analysis (William Heish)
Statistical Methods in the Atmospheric Sciences (Reference book)