Package index

Package Overview

Scope, the nested family hierarchy, and worked estimation workflows

gkwdist gkwdist-package

Generalized Kumaraswamy Distribution Family

Utility Functions

Helper functions for parameter initialization

gkwgetstartvalues()

Estimate Distribution Parameters Using Method of Moments

Generalized Kumaraswamy (GKw) - Distribution

Density, CDF, quantile, and random generation (α, β, γ, δ, λ)

dgkw()

Density of the Generalized Kumaraswamy Distribution

pgkw()

Cumulative Distribution Function (CDF) of the Generalized Kumaraswamy Distribution

qgkw()

Quantile Function of the Generalized Kumaraswamy Distribution

rgkw()

Random Number Generation for the Generalized Kumaraswamy Distribution

Generalized Kumaraswamy (GKw) - Inference

Log-likelihood, gradient, and Hessian

llgkw()

Negative Log-Likelihood for the Generalized Kumaraswamy Distribution

grgkw()

Gradient of the Negative Log-Likelihood for the GKw Distribution

hsgkw()

Hessian Matrix of the Negative Log-Likelihood for the GKw Distribution

Beta-Kumaraswamy (BKw) - Distribution

Density, CDF, quantile, and random generation (α, β, γ, δ) — GKw with λ = 1

dbkw()

Density of the Beta-Kumaraswamy (BKw) Distribution

pbkw()

Cumulative Distribution Function (CDF) of the Beta-Kumaraswamy (BKw) Distribution

qbkw()

Quantile Function of the Beta-Kumaraswamy (BKw) Distribution

rbkw()

Random Number Generation for the Beta-Kumaraswamy (BKw) Distribution

Beta-Kumaraswamy (BKw) - Inference

Log-likelihood, gradient, and Hessian

llbkw()

Negative Log-Likelihood for the Beta-Kumaraswamy (BKw) Distribution

grbkw()

Gradient of the Negative Log-Likelihood for the BKw Distribution

hsbkw()

Hessian Matrix of the Negative Log-Likelihood for the BKw Distribution

Kumaraswamy-Kumaraswamy (KKw) - Distribution

Density, CDF, quantile, and random generation (α, β, δ, λ) — GKw with γ = 1

dkkw()

Density of the Kumaraswamy-Kumaraswamy (KKw) Distribution

pkkw()

Cumulative Distribution Function (CDF) of the KKw Distribution

qkkw()

Quantile Function of the Kumaraswamy-Kumaraswamy (KKw) Distribution

rkkw()

Random Number Generation for the KKw Distribution

Kumaraswamy-Kumaraswamy (KKw) - Inference

Log-likelihood, gradient, and Hessian

llkkw()

Negative Log-Likelihood for the KKw Distribution

grkkw()

Gradient of the Negative Log-Likelihood for the KKw Distribution

hskkw()

Hessian Matrix of the Negative Log-Likelihood for the KKw Distribution

Exponentiated Kumaraswamy (EKw) - Distribution

Density, CDF, quantile, and random generation (α, β, λ) — GKw with γ = 1, δ = 0

dekw()

Density of the Exponentiated Kumaraswamy (EKw) Distribution

pekw()

Cumulative Distribution Function (CDF) of the EKw Distribution

qekw()

Quantile Function of the Exponentiated Kumaraswamy (EKw) Distribution

rekw()

Random Number Generation for the Exponentiated Kumaraswamy (EKw) Distribution

Exponentiated Kumaraswamy (EKw) - Inference

Log-likelihood, gradient, and Hessian

llekw()

Negative Log-Likelihood for the Exponentiated Kumaraswamy (EKw) Distribution

grekw()

Gradient of the Negative Log-Likelihood for the EKw Distribution

hsekw()

Hessian Matrix of the Negative Log-Likelihood for the EKw Distribution

McDonald (MC) - Distribution

Density, CDF, quantile, and random generation (γ, δ, λ) — GKw with α = β = 1

dmc()

Density of the McDonald (Mc)/Beta Power Distribution

pmc()

Cumulative Distribution Function (CDF) of the McDonald (Mc)/Beta Power Distribution

qmc()

Quantile Function of the McDonald (Mc)/Beta Power Distribution

rmc()

Random Number Generation for the McDonald (Mc)/Beta Power Distribution

McDonald (MC) - Inference

Log-likelihood, gradient, and Hessian

llmc()

Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution

grmc()

Gradient of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution

hsmc()

Hessian Matrix of the Negative Log-Likelihood for the McDonald (Mc)/Beta Power Distribution

Kumaraswamy (Kw) - Distribution

Density, CDF, quantile, and random generation (α, β) — GKw with γ = 1, δ = 0, λ = 1

dkw()

Density of the Kumaraswamy (Kw) Distribution

pkw()

Cumulative Distribution Function (CDF) of the Kumaraswamy (Kw) Distribution

qkw()

Quantile Function of the Kumaraswamy (Kw) Distribution

rkw()

Random Number Generation for the Kumaraswamy (Kw) Distribution

Kumaraswamy (Kw) - Inference

Log-likelihood, gradient, and Hessian

llkw()

Negative Log-Likelihood for the Kumaraswamy (Kw) Distribution

grkw()

Gradient of the Negative Log-Likelihood for the Kumaraswamy (Kw) Distribution

hskw()

Hessian Matrix of the Negative Log-Likelihood for the Kw Distribution

Beta - Distribution

Density, CDF, quantile, and random generation (γ, δ) — GKw with α = β = λ = 1; Beta(γ, δ+1)

dbeta_()

Density of the Beta Distribution (gamma, delta+1 Parameterization)

pbeta_()

Cumulative Distribution Function (CDF) of the Beta Distribution (gamma, delta+1 Parameterization)

qbeta_()

Quantile Function of the Beta Distribution (gamma, delta+1 Parameterization)

rbeta_()

Random Number Generation for the Beta Distribution (gamma, delta+1 Parameterization)

Beta - Inference

Log-likelihood, gradient, and Hessian

llbeta()

Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)

grbeta()

Gradient of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)

hsbeta()

Hessian Matrix of the Negative Log-Likelihood for the Beta Distribution (gamma, delta+1 Parameterization)