Predictive Analytics

  1. Time Series Analysis and Forecasting
    1. Time Series Fundamentals
      1. Time Series Components
        1. Trend Analysis
          1. Seasonal Patterns
            1. Cyclical Variations
              1. Irregular Fluctuations
              2. Time Series Decomposition
                1. Additive Decomposition
                  1. Multiplicative Decomposition
                    1. STL Decomposition
                    2. Stationarity Concepts
                      1. Weak Stationarity
                        1. Strong Stationarity
                          1. Unit Root Tests
                            1. Augmented Dickey-Fuller Test
                              1. KPSS Test
                            2. Differencing Techniques
                              1. First Differencing
                                1. Seasonal Differencing
                                  1. Integration Order
                                2. Autocorrelation Analysis
                                  1. Autocorrelation Function
                                    1. Lag Structure
                                      1. Correlation Patterns
                                        1. Statistical Significance
                                        2. Partial Autocorrelation Function
                                          1. Direct Correlation Measurement
                                            1. Model Order Identification
                                            2. Cross-correlation Analysis
                                              1. Lead-lag Relationships
                                                1. Multiple Time Series
                                              2. Classical Forecasting Methods
                                                1. Naive Methods
                                                  1. Simple Naive
                                                    1. Seasonal Naive
                                                      1. Drift Method
                                                      2. Moving Average Methods
                                                        1. Simple Moving Average
                                                          1. Weighted Moving Average
                                                            1. Centered Moving Average
                                                            2. Exponential Smoothing
                                                              1. Simple Exponential Smoothing
                                                                1. Holt's Linear Trend Method
                                                                  1. Holt-Winters Seasonal Method
                                                                    1. Additive Seasonality
                                                                      1. Multiplicative Seasonality
                                                                      2. State Space Models
                                                                    2. ARIMA Modeling
                                                                      1. Autoregressive Models
                                                                        1. AR Model Structure
                                                                          1. Parameter Estimation
                                                                            1. Order Selection
                                                                            2. Moving Average Models
                                                                              1. MA Model Structure
                                                                                1. Invertibility Conditions
                                                                                2. ARMA Models
                                                                                  1. Combined AR and MA Components
                                                                                    1. Model Identification
                                                                                    2. ARIMA Models
                                                                                      1. Integration Component
                                                                                        1. Model Selection Criteria
                                                                                          1. AIC and BIC
                                                                                            1. Information Criteria
                                                                                            2. Diagnostic Checking
                                                                                              1. Residual Analysis
                                                                                                1. Ljung-Box Test
                                                                                              2. Seasonal ARIMA
                                                                                                1. Seasonal Parameters
                                                                                                  1. SARIMA Model Structure
                                                                                                    1. Seasonal Differencing
                                                                                                  2. Advanced Time Series Methods
                                                                                                    1. Vector Autoregression
                                                                                                      1. Multivariate Time Series
                                                                                                        1. Granger Causality
                                                                                                          1. Impulse Response Functions
                                                                                                          2. State Space Models
                                                                                                            1. Kalman Filtering
                                                                                                              1. Dynamic Linear Models
                                                                                                              2. Regime Switching Models
                                                                                                                1. Markov Switching
                                                                                                                  1. Threshold Models
                                                                                                                2. Modern Forecasting Approaches
                                                                                                                  1. Prophet Framework
                                                                                                                    1. Trend Modeling
                                                                                                                      1. Seasonality Handling
                                                                                                                        1. Holiday Effects
                                                                                                                          1. Changepoint Detection
                                                                                                                          2. Machine Learning for Time Series
                                                                                                                            1. Feature Engineering for Time Series
                                                                                                                              1. Lag Feature Creation
                                                                                                                                1. Rolling Window Statistics
                                                                                                                                2. Deep Learning for Time Series
                                                                                                                                  1. RNN Applications
                                                                                                                                    1. LSTM for Forecasting
                                                                                                                                      1. Attention Mechanisms
                                                                                                                                        1. Transformer Models

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                                                                                                                                    6. Neural Networks and Deep Learning

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                                                                                                                                    8. Unsupervised Learning