Generalized Kumaraswamy Regression Models for Bounded Data
Calculate AIC or BIC for gkwfit Objects
Akaike's Information Criterion for GKw Regression Models
Compare Fitted gkwfit Models using Likelihood Ratio Tests
Calculate Bayesian Information Criterion (BIC) for gkwfit Objects
Bayesian Information Criterion for GKw Regression Models
Calculate additional fit metrics for all models
Extract Model Coefficients from a gkwfit Object
Extract Coefficients from a Fitted GKw Regression Model
Compute Confidence Intervals for gkwfit Parameters
Create enhanced comparison plots of all fitted distributions
Create comparison table of fit statistics with expanded metrics
Density of the Beta Distribution (gamma, delta+1 Parameterization)
Density of the Beta-Kumaraswamy (BKw) Distribution
Density of the Exponentiated Kumaraswamy (EKw) Distribution
Density of the Generalized Kumaraswamy Distribution
Density of the Kumaraswamy-Kumaraswamy (kkw) Distribution
Density of the Kumaraswamy (Kw) Distribution
Density of the McDonald (Mc)/Beta Power Distribution Distribution
Calculate diagnostic measures for gkwreg plots
Calculate Distance-Based Test Statistics
Calculate goodness-of-fit statistics
Calculate half-normal plot data with envelope
Calculate Information Criteria
Calculate Likelihood Statistics
Calculate model parameters for the specified family
Calculate Moment Comparisons
Calculate Prediction Accuracy Metrics
Calculate Probability Plot Metrics
Calculate profile likelihoods
Calculate residuals based on the specified type
Calculate Sample Moments
Calculate residuals for simulated data
Calculate Theoretical CDF Values for GKw Family Distributions
Calculate Theoretical Moments for GKw Family Distributions
Calculate Theoretical PDF Values for GKw Family Distributions
Calculate Theoretical Quantiles for GKw Family Distributions
Check and Compile TMB Model Code with Persistent Cache
Convert Link Function Names to TMB Integers
Create Bar Plot for Model Comparison
Create formatted plot titles
Create Radar Plot for Model Comparison
Create Table Plot for Model Comparison
Determine initial parameter values
Extract Model Data for GKw Regression
Extract model matrices from a gkwreg object with family-specific handl...
Extract model parameters from a gkwreg object with family-specific han...
Extract parameter vectors from parameter matrix
Convert family string to numeric code for TMB
Fit submodels for the GKw family for model comparison
Fit submodels for comparison
Fit GKw family distributions using TMB
Format Coefficient Names Based on Family and Model Matrices
Generate Additional Diagnostic Plots Beyond Those in gkwfit
Generate diagnostic plots for distribution models
Generate Random Samples from GKw Family Distributions
Get default fixed parameters for a family
Get default start values for a family
Get default fixed parameters for each GKw family
Get family parameter information
Map gkwreg parameter index to TMB parameter index
Plot Cook's distance (base R)
Plot half-normal plot (base R)
Plot leverage vs. fitted (base R)
Plot predicted vs. observed (base R)
Plot residuals vs. index (base R)
Plot residuals vs. linear predictor (base R)
Plot Cook's distance (ggplot2)
Plot half-normal plot (ggplot2)
Plot leverage vs. fitted (ggplot2)
Plot predicted vs. observed (ggplot2)
Plot residuals vs. index (ggplot2)
Plot residuals vs. linear predictor (ggplot2)
Generate diagnostic plots using base R graphics
Generate diagnostic plots using ggplot2
Prepare TMB Data for GKw Regression
Prepare TMB Parameters for GKw Regression
Print Formatted Summary of Goodness-of-Fit Statistics
Process Fixed Parameters for GKw Regression
Process Formula Parts from a Formula Object
Process Link Scales for GKw Regression
Process Link Functions for GKw Regression
Sample model data for large datasets
Simulate observations from a specified distribution family
Simulate P-Values Using Parametric Bootstrap
Validate inputs and prepare diagnostic data for gkwreg plots
Validate data for GKw family distributions
Validate parameters for GKw family distributions
Extract Key Statistics from gkwgof Objects
Extract Fitted Values from a Generalized Kumaraswamy Regression Model
Generate R Markdown report with analysis results
Access datasets from bounded response regression packages
Get the CDF function for a fitted GKw distribution model
Get the density function for a fitted GKw distribution model
Get the quantile function for a fitted GKw distribution model
Fit Generalized Kumaraswamy Distribution via Maximum Likelihood Estima...
Fit All or Selected Generalized Kumaraswamy Family Distributions and C...
Comprehensive Goodness-of-Fit Analysis for GKw Family Distributions
Fit Generalized Kumaraswamy Regression Models
Gradient of the Negative Log-Likelihood for the Beta Distribution (gam...
Gradient of the Negative Log-Likelihood for the BKw Distribution
Gradient of the Negative Log-Likelihood for the EKw Distribution
Gradient of the Negative Log-Likelihood for the GKw Distribution
Gradient of the Negative Log-Likelihood for the kkw Distribution
Gradient of the Negative Log-Likelihood for the Kumaraswamy (Kw) Distr...
Gradient of the Negative Log-Likelihood for the McDonald (Mc)/Beta Pow...
Hessian Matrix of the Negative Log-Likelihood for the Beta Distributio...
Hessian Matrix of the Negative Log-Likelihood for the BKw Distribution
Hessian Matrix of the Negative Log-Likelihood for the EKw Distribution
Hessian Matrix of the Negative Log-Likelihood for the GKw Distribution
Hessian Matrix of the Negative Log-Likelihood for the kkw Distribution
Hessian Matrix of the Negative Log-Likelihood for the Kw Distribution
Hessian Matrix of the Negative Log-Likelihood for the McDonald (Mc)/Be...
List all available datasets for bounded response regression
Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Para...
Negative Log-Likelihood for Beta-Kumaraswamy (BKw) Distribution
Negative Log-Likelihood for the Exponentiated Kumaraswamy (EKw) Distri...
Negative Log-Likelihood for the Generalized Kumaraswamy Distribution
Negative Log-Likelihood for the kkw Distribution
Negative Log-Likelihood of the Kumaraswamy (Kw) Distribution
Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution
Extract Log-Likelihood from a gkwfit Object
Extract Log-Likelihood from a Generalized Kumaraswamy Regression Model
Enhanced Newton-Raphson Optimization for GKw Family Distributions
CDF of the Beta Distribution (gamma, delta+1 Parameterization)
Cumulative Distribution Function (CDF) of the Beta-Kumaraswamy (BKw) D...
Cumulative Distribution Function (CDF) of the EKw Distribution
Generalized Kumaraswamy Distribution CDF
Pipe operator
Cumulative Distribution Function (CDF) of the kkw Distribution
Cumulative Distribution Function (CDF) of the Kumaraswamy (Kw) Distrib...
Plot Diagnostics for a gkwfit Object
Plot method for gkwfitall objects
Plot Method for gkwgof Objects
Diagnostic Plots for Generalized Kumaraswamy Regression Models
Compare Goodness-of-Fit Results Across Multiple Models
CDF of the McDonald (Mc)/Beta Power Distribution
Predictions from a Fitted Generalized Kumaraswamy Regression Model
S3 method for class 'anova.gkwfit'
Print Method for gkwfit Objects
Print method for gkwfitall objects
Print Method for gkwgof Objects
Print Method for summary.gkwfit Objects
Print method for summary.gkwfitall objects
Print Method for summary.gkwgof Objects
Print Method for Generalized Kumaraswamy Regression Summaries
Quantile Function of the Beta Distribution (gamma, delta+1 Parameteriz...
Quantile Function of the Beta-Kumaraswamy (BKw) Distribution
Quantile Function of the Exponentiated Kumaraswamy (EKw) Distribution
Generalized Kumaraswamy Distribution Quantile Function
Quantile Function of the Kumaraswamy-Kumaraswamy (kkw) Distribution
Quantile Function of the Kumaraswamy (Kw) Distribution
Quantile Function of the McDonald (Mc)/Beta Power Distribution
Random Generation for the Beta Distribution (gamma, delta+1 Parameteri...
Random Number Generation for the Beta-Kumaraswamy (BKw) Distribution
Random Number Generation for the Exponentiated Kumaraswamy (EKw) Distr...
Extract Residuals from a Generalized Kumaraswamy Regression Model
Generalized Kumaraswamy Distribution Random Generation
Random Number Generation for the kkw Distribution
Random Number Generation for the Kumaraswamy (Kw) Distribution
Random Number Generation for the McDonald (Mc)/Beta Power Distribution
Summary Method for gkwfit Objects
Summary method for gkwfitall objects
Summary Method for gkwgof Objects
Summary Method for Generalized Kumaraswamy Regression Models
Extract Variance-Covariance Matrix from a gkwfit Object
Extract Variance-Covariance Matrix from a Generalized Kumaraswamy Regr...
Implements regression models for bounded continuous data in the open interval (0,1) using the five-parameter Generalized Kumaraswamy distribution. Supports modeling all distribution parameters (alpha, beta, gamma, delta, lambda) as functions of predictors through various link functions. Provides efficient maximum likelihood estimation via Template Model Builder ('TMB'), offering comprehensive diagnostics, model comparison tools, and simulation methods. Particularly useful for analyzing proportions, rates, indices, and other bounded response data with complex distributional features not adequately captured by simpler models.