Abstract | 1. Introduction | 1.1 Background | 1.2 The Complex TriParametric Pearson (CTP) Distribution | Mathematical Definition | Moments | 1.3 Why zmctp? | Problem with Existing Implementations | The zmctp Solution | 2. Basic Usage | 2.1 Distribution Functions | 2.2 Checking for Overdispersion | 2.3 Fitting the CTP Model | 2.4 Diagnostic Plots | 3. Zero-Modified CTP Distribution | 3.1 When to Use ZM-CTP | 3.2 Mathematical Definition | 3.3 Example: Zero-Inflated Data | 5. Comparison with cpd Package | 5.1 The Problem with Large Sample Sizes | 5.2 Demonstration | 6. Model Selection Guide | 6.1 Decision Tree | 7. Properties and Theoretical Results | 7.1 Skewness | 7.2 Mode | 7.3 Convergence | 9. Conclusion | 9.1 Key Findings from Oladoja (2021) | References | Session Info