Chapter0: Vector and Matrix (fuel for gap)
Chapter1: Basic concepts and notions
Chapter2: Regression analysis and an example of coreelation test
Chapter3:Filtering and Spectrum analysis and Digital Filter
Chapter4: Linear multivariate statistical analysis - I
Chapter5: Linear multivariate statistical analysis - II
Chapter6: Nonlinear Regression - Neural Network approach
Chapter7: Nonlinear multivariate statistical analysis
Chapter8: Estimation of potential predictability
Chapter9: Ensemble-based Data assimilation methods
Extra readings
Review paper on Nonlinear multivariate statistical analysis (William Heish)
Statistical Methods in the Atmospheric Sciences (Reference book)