System Modeling and Simulation

  1. Input Modeling and Data Analysis
    1. Data Collection and Preparation
      1. Data Sources and Types
        1. Sampling Methods
          1. Data Quality Assessment
            1. Data Cleaning and Preprocessing
              1. Outlier Detection and Treatment
              2. Exploratory Data Analysis
                1. Descriptive Statistics
                  1. Histogram Construction
                    1. Box Plots and Scatter Plots
                      1. Correlation Analysis
                        1. Time Series Analysis
                        2. Probability Distribution Selection
                          1. Common Continuous Distributions
                            1. Common Discrete Distributions
                              1. Distribution Selection Criteria
                                1. Theoretical vs Empirical Distributions
                                2. Parameter Estimation Methods
                                  1. Maximum Likelihood Estimation
                                    1. Method of Moments
                                      1. Least Squares Estimation
                                        1. Bayesian Estimation
                                        2. Goodness-of-Fit Testing
                                          1. Chi-Square Test
                                            1. Kolmogorov-Smirnov Test
                                              1. Anderson-Darling Test
                                                1. Cramér-von Mises Test
                                                  1. Visual Assessment Methods
                                                  2. Modeling Dependencies and Correlations
                                                    1. Correlation Modeling
                                                      1. Copula Methods
                                                        1. Time Series Dependencies
                                                          1. Multivariate Distributions
                                                          2. Handling Insufficient Data
                                                            1. Expert Opinion Elicitation
                                                              1. Assumption-Based Modeling
                                                                1. Sensitivity Analysis
                                                                  1. Robust Design Methods

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                                                                11. Hybrid and Multi-Paradigm Simulation

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                                                                13. Random Number and Variate Generation