1) Convergence of random sequences. Types of convergence
2) Strong law of large numbers. Central limit theorem
3) Nonparametric estimation of distribution function
4) Estimation of probability density function by the kernel method
5) Estimation of probability density function by the kernel method by orthogonal series expansion
6) Estimation of the regression function by the kernel method
5) Estimation of the regression function by the by orthogonal series expansion
6) Least squares method - synthesis
7) Least squares method - properties for N