| AIC.gkwfit | Calculate AIC or BIC for gkwfit Objects |
| AIC.gkwreg | Akaike's Information Criterion for GKw Regression Models |
| anova.gkwfit | Compare Fitted gkwfit Models using Likelihood Ratio Tests |
| BIC.gkwfit | Calculate Bayesian Information Criterion (BIC) for gkwfit... |
| BIC.gkwreg | Bayesian Information Criterion for GKw Regression Models |
| calculateCoxSnellResiduals | Calculate Cox-Snell Residuals |
| calculateDensities | Calculate Densities for Distribution |
| calculateDevianceResiduals | Calculate Deviance Residuals |
| calculate_fit_metrics | Calculate additional fit metrics for all models |
| calculateMeans | Calculate Means for Distribution |
| calculateModifiedDevianceResiduals | Calculate Modified Deviance Residuals |
| calculateParameters | Calculate Parameters for the Generalized Kumaraswamy... |
| calculatePartialResiduals | Calculate Partial Residuals |
| calculatePearsonResiduals | Calculate Pearson Residuals |
| calculateProbabilities | Calculate Cumulative Probabilities for Distribution |
| calculateQuantileResiduals | Calculate Quantile Residuals |
| calculateQuantiles | Calculate Quantiles for Distribution |
| calculateResponseResiduals | Calculate Response Residuals |
| calculateScoreResiduals | Calculate Score Residuals |
| coef.gkwfit | Extract Model Coefficients from a gkwfit Object |
| coef.gkwreg | Extract Coefficients from a Fitted GKw Regression Model |
| confint.gkwfit | Compute Confidence Intervals for gkwfit Parameters |
| create_comparison_plots | Create enhanced comparison plots of all fitted distributions |
| create_comparison_table | Create comparison table of fit statistics with expanded... |
| dbeta_ | Density of the Beta Distribution (gamma, delta+1... |
| dbkw | Density of the Beta-Kumaraswamy (BKw) Distribution |
| dekw | Density of the Exponentiated Kumaraswamy (EKw) Distribution |
| dgkw | Density of the Generalized Kumaraswamy Distribution |
| dkkw | Density of the Kumaraswamy-Kumaraswamy (kkw) Distribution |
| dkw | Density of the Kumaraswamy (Kw) Distribution |
| dmc | Density of the McDonald (Mc)/Beta Power Distribution... |
| dot-calculate_diagnostic_measures | Calculate diagnostic measures for gkwreg plots |
| dot-calculate_distance_tests | Calculate Distance-Based Test Statistics |
| dot-calculate_gof | Calculate goodness-of-fit statistics |
| dot-calculate_half_normal_data | Calculate half-normal plot data with envelope |
| dot-calculate_information_criteria | Calculate Information Criteria |
| dot-calculate_likelihood_statistics | Calculate Likelihood Statistics |
| dot-calculate_model_parameters | Calculate model parameters for the specified family |
| dot-calculate_moment_comparisons | Calculate Moment Comparisons |
| dot-calculate_prediction_metrics | Calculate Prediction Accuracy Metrics |
| dot-calculate_probability_plot_metrics | Calculate Probability Plot Metrics |
| dot-calculate_profiles | Calculate profile likelihoods |
| dot-calculate_residuals | Calculate residuals based on the specified type |
| dot-calculate_sample_moments | Calculate Sample Moments |
| dot-calculate_sim_residuals | Calculate residuals for simulated data |
| dot-calculate_theoretical_cdf | Calculate Theoretical CDF Values for GKw Family Distributions |
| dot-calculate_theoretical_moments | Calculate Theoretical Moments for GKw Family Distributions |
| dot-calculate_theoretical_pdf | Calculate Theoretical PDF Values for GKw Family Distributions |
| dot-calculate_theoretical_quantiles | Calculate Theoretical Quantiles for GKw Family Distributions |
| dot-check_and_compile_TMB_code | Check and Compile TMB Model Code with Persistent Cache |
| dot-convert_links_to_int | Convert Link Function Names to TMB Integers |
| dot-create_bar_plot | Create Bar Plot for Model Comparison |
| dot-create_plot_titles | Create formatted plot titles |
| dot-create_radar_plot | Create Radar Plot for Model Comparison |
| dot-create_table_plot | Create Table Plot for Model Comparison |
| dot-determine_start_values | Determine initial parameter values |
| dot-extract_model_data | Extract Model Data for GKw Regression |
| dot-extract_model_matrices | Extract model matrices from a gkwreg object with... |
| dot-extract_model_params | Extract model parameters from a gkwreg object with... |
| dot-extract_parameter_vectors | Extract parameter vectors from parameter matrix |
| dot-family_to_code | Convert family string to numeric code for TMB |
| dot-fit_submodels | Fit submodels for comparison |
| dot-fit_submodels_tmb | Fit submodels for the GKw family for model comparison |
| dot-fit_tmb | Fit GKw family distributions using TMB |
| dot-format_coefficient_names | Format Coefficient Names Based on Family and Model Matrices |
| dot-generate_additional_plots | Generate Additional Diagnostic Plots Beyond Those in gkwfit |
| dot-generate_plots | Generate diagnostic plots for distribution models |
| dot-generate_random_samples | Generate Random Samples from GKw Family Distributions |
| dot-get_default_fixed | Get default fixed parameters for a family |
| dot-get_default_start | Get default start values for a family |
| dot-get_family_fixed_defaults | Get default fixed parameters for each GKw family |
| dot-get_family_param_info | Get family parameter information |
| dot-map_gkwreg_to_tmb_param | Map gkwreg parameter index to TMB parameter index |
| dot-plot_base_r_cooks_distance | Plot Cook's distance (base R) |
| dot-plot_base_r_half_normal | Plot half-normal plot (base R) |
| dot-plot_base_r_leverage_vs_fitted | Plot leverage vs. fitted (base R) |
| dot-plot_base_r_predicted_vs_observed | Plot predicted vs. observed (base R) |
| dot-plot_base_r_residuals_vs_index | Plot residuals vs. index (base R) |
| dot-plot_base_r_residuals_vs_linpred | Plot residuals vs. linear predictor (base R) |
| dot-plot_ggplot_cooks_distance | Plot Cook's distance (ggplot2) |
| dot-plot_ggplot_half_normal | Plot half-normal plot (ggplot2) |
| dot-plot_ggplot_leverage_vs_fitted | Plot leverage vs. fitted (ggplot2) |
| dot-plot_ggplot_predicted_vs_observed | Plot predicted vs. observed (ggplot2) |
| dot-plot_ggplot_residuals_vs_index | Plot residuals vs. index (ggplot2) |
| dot-plot_ggplot_residuals_vs_linpred | Plot residuals vs. linear predictor (ggplot2) |
| dot-plot_gkwreg_base_r | Generate diagnostic plots using base R graphics |
| dot-plot_gkwreg_ggplot | Generate diagnostic plots using ggplot2 |
| dot-prepare_tmb_data | Prepare TMB Data for GKw Regression |
| dot-prepare_tmb_params | Prepare TMB Parameters for GKw Regression |
| dot-print_gof_summary | Print Formatted Summary of Goodness-of-Fit Statistics |
| dot-process_fixed | Process Fixed Parameters for GKw Regression |
| dot-process_formula_parts | Process Formula Parts from a Formula Object |
| dot-process_link | Process Link Functions for GKw Regression |
| dot-sample_model_data | Sample model data for large datasets |
| dot-simulate_from_distribution | Simulate observations from a specified distribution family |
| dot-simulate_p_values_bootstrap | Simulate P-Values Using Parametric Bootstrap |
| dot-validate_and_prepare_gkwreg_diagnostics | Validate inputs and prepare diagnostic data for gkwreg plots |
| dot-validate_data | Validate data for GKw family distributions |
| dot-validate_parameters | Validate parameters for GKw family distributions |
| extract_gof_stats | Extract Key Statistics from gkwgof Objects |
| fitted.gkwreg | Extract Fitted Values from a Generalized Kumaraswamy... |
| generate_report | Generate R Markdown report with analysis results |
| get_cdf_function | Get the CDF function for a fitted GKw distribution model |
| get_density_function | Get the density function for a fitted GKw distribution model |
| get_quantile_function | Get the quantile function for a fitted GKw distribution model |
| gkwfit | Fit Generalized Kumaraswamy Distribution via Maximum... |
| gkwfitall | Fit All or Selected Generalized Kumaraswamy Family... |
| gkwgetstartvalues | Main function to estimate GKw distribution parameters using... |
| gkwgof | Comprehensive Goodness-of-Fit Analysis for GKw Family... |
| gkwreg | Fit Generalized Kumaraswamy Regression Models |
| grbeta | Gradient of the Negative Log-Likelihood for the Beta... |
| grbkw | Gradient of the Negative Log-Likelihood for the BKw... |
| grekw | Gradient of the Negative Log-Likelihood for the EKw... |
| grgkw | Gradient of the Negative Log-Likelihood for the GKw... |
| grkkw | Gradient of the Negative Log-Likelihood for the kkw... |
| grkw | Gradient of the Negative Log-Likelihood for the Kumaraswamy... |
| grmc | Gradient of the Negative Log-Likelihood for the McDonald... |
| hsbeta | Hessian Matrix of the Negative Log-Likelihood for the Beta... |
| hsbkw | Hessian Matrix of the Negative Log-Likelihood for the BKw... |
| hsekw | Hessian Matrix of the Negative Log-Likelihood for the EKw... |
| hsgkw | Hessian Matrix of the Negative Log-Likelihood for the GKw... |
| hskkw | Hessian Matrix of the Negative Log-Likelihood for the kkw... |
| hskw | Hessian Matrix of the Negative Log-Likelihood for the Kw... |
| hsmc | Hessian Matrix of the Negative Log-Likelihood for the... |
| llbeta | Negative Log-Likelihood for the Beta Distribution (gamma,... |
| llbkw | Negative Log-Likelihood for Beta-Kumaraswamy (BKw)... |
| llekw | Negative Log-Likelihood for the Exponentiated Kumaraswamy... |
| llgkw | Negative Log-Likelihood for the Generalized Kumaraswamy... |
| llkkw | Negative Log-Likelihood for the kkw Distribution |
| llkw | Negative Log-Likelihood of the Kumaraswamy (Kw) Distribution |
| llmc | Negative Log-Likelihood for the McDonald (Mc)/Beta Power... |
| logLik.gkwfit | Extract Log-Likelihood from a gkwfit Object |
| logLik.gkwreg | Extract Log-Likelihood from a Generalized Kumaraswamy... |
| nrgkw | Enhanced Newton-Raphson Optimization for GKw Family... |
| pbeta_ | CDF of the Beta Distribution (gamma, delta+1... |
| pbkw | Cumulative Distribution Function (CDF) of the... |
| pekw | Cumulative Distribution Function (CDF) of the EKw... |
| pgkw | Generalized Kumaraswamy Distribution CDF |
| pipe | Pipe operator |
| pkkw | Cumulative Distribution Function (CDF) of the kkw... |
| pkw | Cumulative Distribution Function (CDF) of the Kumaraswamy... |
| plotcompare | Compare Goodness-of-Fit Results Across Multiple Models |
| plot.gkwfit | Plot Diagnostics for a gkwfit Object |
| plot.gkwfitall | Plot method for gkwfitall objects |
| plot.gkwgof | Plot Method for gkwgof Objects |
| plot.gkwreg | Diagnostic Plots for Generalized Kumaraswamy Regression... |
| pmc | CDF of the McDonald (Mc)/Beta Power Distribution |
| predict.gkwreg | Predictions from a Fitted Generalized Kumaraswamy Regression... |
| print.anova.gkwfit | S3 method for class 'anova.gkwfit' |
| print.gkwfit | Print Method for gkwfit Objects |
| print.gkwfitall | Print method for gkwfitall objects |
| print.gkwgof | Print Method for gkwgof Objects |
| print.summary.gkwfit | Print Method for summary.gkwfit Objects |
| print.summary.gkwfitall | Print method for summary.gkwfitall objects |
| print.summary.gkwgof | Print Method for summary.gkwgof Objects |
| print.summary.gkwreg | Print Method for Generalized Kumaraswamy Regression Summaries |
| qbeta_ | Quantile Function of the Beta Distribution (gamma, delta+1... |
| qbkw | Quantile Function of the Beta-Kumaraswamy (BKw) Distribution |
| qekw | Quantile Function of the Exponentiated Kumaraswamy (EKw)... |
| qgkw | Generalized Kumaraswamy Distribution Quantile Function |
| qkkw | Quantile Function of the Kumaraswamy-Kumaraswamy (kkw)... |
| qkw | Quantile Function of the Kumaraswamy (Kw) Distribution |
| qmc | Quantile Function of the McDonald (Mc)/Beta Power... |
| rbeta_ | Random Generation for the Beta Distribution (gamma, delta+1... |
| rbkw | Random Number Generation for the Beta-Kumaraswamy (BKw)... |
| rekw | Random Number Generation for the Exponentiated Kumaraswamy... |
| residuals.gkwreg | Extract Residuals from a Generalized Kumaraswamy Regression... |
| rgkw | Generalized Kumaraswamy Distribution Random Generation |
| rkkw | Random Number Generation for the kkw Distribution |
| rkw | Random Number Generation for the Kumaraswamy (Kw)... |
| rmc | Random Number Generation for the McDonald (Mc)/Beta Power... |
| summary.gkwfit | Summary Method for gkwfit Objects |
| summary.gkwfitall | Summary method for gkwfitall objects |
| summary.gkwgof | Summary Method for gkwgof Objects |
| summary.gkwreg | Summary Method for Generalized Kumaraswamy Regression Models |
| vcov.gkwfit | Extract Variance-Covariance Matrix from a gkwfit Object |
| vcov.gkwreg | Extract Variance-Covariance Matrix from a Generalized... |
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