# Generalized Kumaraswamy Regression Models for Bounded Data

## Documentation for package ‘gkwreg’ version 1.0.3

- DESCRIPTION file.

## Help Pages

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 Objects
BIC.gkwreg | Bayesian Information Criterion for GKw Regression Models
calculateCoxSnellResiduals | Calculate Cox-Snell Residuals
calculateDensities | Calculate Densities for Distribution
calculateDevianceResiduals | Calculate Deviance Residuals
calculateMeans | Calculate Means for Distribution
calculateModifiedDevianceResiduals | Calculate Modified Deviance Residuals
calculateParameters | Calculate Parameters for the Generalized Kumaraswamy Distribution
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
dbeta_ | Density of the Beta Distribution (gamma, delta+1 Parameterization)
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 Distribution
extract_gof_stats | Extract Key Statistics from gkwgof Objects
fitted.gkwreg | Extract Fitted Values from a Generalized Kumaraswamy Regression Model
gkwfit | Fit Generalized Kumaraswamy Distribution via Maximum Likelihood Estimation using TMB
gkwfitall | Fit All or Selected Generalized Kumaraswamy Family Distributions and Compare Them
gkwgetstartvalues | Main function to estimate GKw distribution parameters using the method of moments. This implementation is optimized for numerical stability and computational efficiency.
gkwgof | Comprehensive Goodness-of-Fit Analysis for GKw Family Distributions
gkwreg | Fit Generalized Kumaraswamy Regression Models
grbeta | Gradient of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)
grbkw | Gradient of the Negative Log-Likelihood for the BKw Distribution
grekw | Gradient of the Negative Log-Likelihood for the EKw Distribution
grgkw | Gradient of the Negative Log-Likelihood for the GKw Distribution
grkkw | Gradient of the Negative Log-Likelihood for the kkw Distribution
grkw | Gradient of the Negative Log-Likelihood for the Kumaraswamy (Kw) Distribution
grmc | Gradient of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution
hsbeta | Hessian Matrix of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)
hsbkw | Hessian Matrix of the Negative Log-Likelihood for the BKw Distribution
hsekw | Hessian Matrix of the Negative Log-Likelihood for the EKw Distribution
hsgkw | Hessian Matrix of the Negative Log-Likelihood for the GKw Distribution
hskkw | Hessian Matrix of the Negative Log-Likelihood for the kkw Distribution
hskw | Hessian Matrix of the Negative Log-Likelihood for the Kw Distribution
hsmc | Hessian Matrix of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution
llbeta | Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)
llbkw | Negative Log-Likelihood for Beta-Kumaraswamy (BKw) Distribution
llekw | Negative Log-Likelihood for the Exponentiated Kumaraswamy (EKw) Distribution
llgkw | Negative Log-Likelihood for the Generalized Kumaraswamy Distribution
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 Distribution
logLik.gkwfit | Extract Log-Likelihood from a gkwfit Object
logLik.gkwreg | Extract Log-Likelihood from a Generalized Kumaraswamy Regression Model
nrgkw | Enhanced Newton-Raphson Optimization for GKw Family Distributions
pbeta_ | CDF of the Beta Distribution (gamma, delta+1 Parameterization)
pbkw | Cumulative Distribution Function (CDF) of the Beta-Kumaraswamy (BKw) Distribution
pekw | Cumulative Distribution Function (CDF) of the EKw Distribution
pgkw | Generalized Kumaraswamy Distribution CDF
pkkw | Cumulative Distribution Function (CDF) of the kkw Distribution
pkw | Cumulative Distribution Function (CDF) of the Kumaraswamy (Kw) Distribution
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 Models
plotcompare | Compare Goodness-of-Fit Results Across Multiple Models
pmc | CDF of the McDonald (Mc)/Beta Power Distribution
predict.gkwreg | Predictions from a Fitted Generalized Kumaraswamy Regression Model
print.anova.gkwfit | S3 method for class 'anova.gkwfit'
print.gkwfitall | Print method for gkwfitall objects
print.gkwgof | Print Method for gkwgof Objects
print.summary.gkwfitall | Print method for summary.gkwfitall objects
print.summary.gkwgof | Print Method for summary.gkwgof Objects
qbeta_ | Quantile Function of the Beta Distribution (gamma, delta+1 Parameterization)
qbkw | Quantile Function of the Beta-Kumaraswamy (BKw) Distribution
qekw | Quantile Function of the Exponentiated Kumaraswamy (EKw) Distribution
qgkw | Generalized Kumaraswamy Distribution Quantile Function
qkkw | Quantile Function of the Kumaraswamy-Kumaraswamy (kkw) Distribution
qkw | Quantile Function of the Kumaraswamy (Kw) Distribution
qmc | Quantile Function of the McDonald (Mc)/Beta Power Distribution
rbeta_ | Random Generation for the Beta Distribution (gamma, delta+1 Parameterization)
rbkw | Random Number Generation for the Beta-Kumaraswamy (BKw) Distribution
rekw | Random Number Generation for the Exponentiated Kumaraswamy (EKw) Distribution
residuals.gkwreg | Extract Residuals from a Generalized Kumaraswamy Regression Model
rgkw | Generalized Kumaraswamy Distribution Random Generation
rkkw | Random Number Generation for the kkw Distribution
rkw | Random Number Generation for the Kumaraswamy (Kw) Distribution
rmc | Random Number Generation for the McDonald (Mc)/Beta Power Distribution
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 Kumaraswamy Regression Model