Environmental Statistics

  1. Analysis of Temporally Correlated Data
    1. Introduction to Time Series Analysis
      1. Components of a Time Series
        1. Trend
          1. Seasonality
            1. Cyclical Variation
              1. Irregular Variation
              2. Stationarity
                1. Definition and Importance
                  1. Testing for Stationarity
                    1. Augmented Dickey-Fuller Test
                      1. KPSS Test
                    2. Autocorrelation and Partial Autocorrelation Functions
                      1. Interpretation
                        1. Use in Model Selection
                      2. Time Domain Models
                        1. Autoregressive Models
                          1. Model Specification
                            1. Parameter Estimation
                              1. Order Selection
                              2. Moving Average Models
                                1. Model Structure
                                  1. Parameter Estimation
                                  2. ARMA and ARIMA Models
                                    1. Model Identification
                                      1. Model Fitting
                                        1. Forecasting
                                          1. Seasonal ARIMA Models
                                        2. Frequency Domain Models
                                          1. Spectral Analysis
                                            1. Periodogram
                                              1. Frequency Components
                                                1. Spectral Density
                                              2. Trend and Change Point Detection
                                                1. Mann-Kendall Test
                                                  1. Non-parametric Trend Detection
                                                    1. Seasonal Mann-Kendall Test
                                                    2. Intervention Analysis
                                                      1. Assessing Impact of Events
                                                      2. Change Point Detection Methods
                                                        1. CUSUM Methods
                                                          1. Structural Break Tests

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                                                      5. Modeling Environmental Data

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                                                      7. Analysis of Spatially Correlated Data