Mathematical Foundations of Time Series Analysis

1. Introduction
Jan Beran

2. Typical Assumptions
Jan Beran

3. Defining Probability Measures for Time Series
Jan Beran

4. Spectral Representation of Univariate Time Series
Jan Beran

5. Spectral Representation of Real Valued Vector Time Series
Jan Beran

6. Univariate ARMA Processes
Jan Beran

7. Generalized Autoregressive Processes
Jan Beran

8. Prediction
Jan Beran

9. Inference for μ, γ and F

Jan Beran

10. Parametric Estimation
Jan Beran

Keywords: Statistics, Statistical Theory and Methods, Econometrics, Probability Theory and Stochastic Processes