Generalized Kumaraswamy Distribution Family
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...
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
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...
CDF of the McDonald (Mc)/Beta Power Distribution
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...
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
Gradient of the Negative Log-Likelihood for the McDonald (Mc)/Beta Pow...
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
Estimate Distribution Parameters Using Method of Moments
Gradient of the Negative Log-Likelihood for the Kumaraswamy (Kw) Distr...
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
Generalized Kumaraswamy Distribution Family
Implements the five-parameter Generalized Kumaraswamy ('gkw') distribution proposed by 'Carrasco, Ferrari and Cordeiro (2010)' <doi:10.48550/arXiv.1004.0911> and its seven nested sub-families for modeling bounded continuous data on the unit interval (0,1). The 'gkw' distribution extends the Kumaraswamy distribution described by Jones (2009) <doi:10.1016/j.stamet.2008.04.001>. Provides density, distribution, quantile, and random generation functions, along with analytical log-likelihood, gradient, and Hessian functions implemented in 'C++' via 'RcppArmadillo' for maximum computational efficiency. Suitable for modeling proportions, rates, percentages, and indices exhibiting complex features such as asymmetry, or heavy tails and other shapes not adequately captured by standard distributions like simple Beta or Kumaraswamy.
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