What does the statistics include?

Statistics: By using probability theory to establish a mathematical model, collect the data of the observed system, make quantitative analysis and summary, and then make inference and prediction. Basic theoretical research that provide a basis and reference for relevant decision include: probability limit theory and its application in statistics, tree probability, Banach space probability, stochastic partial differential equation, Poisson approximation, stochastic network, Markov process and field theory, Markov convergence rate, Brownian motion and partial differential equation, limit of spatial branching population, large deviation and random mean, and cross-border problems in sequence analysis and time series analysis. One-to-one correspondence between Markov process and Dirichlet table, central limit theorem in function estimation, stability of limit theorem, causality and statistical inference, prediction inference, network inference, likelihood, M- estimator and maximum likelihood estimation, accurate approximation in parametric model, adaptive method in nonparametric estimation, new content in multivariate analysis, theory and application of time series, nonlinear time series, and comparison between deterministic model and stochastic model in time series.