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Kumaraswamy distribution

Quantile-parametrized Kumaraswamy density, distribution and quantile functions.

dkuma()
Kumaraswamy density, quantile-parametrized
pkuma()
Kumaraswamy distribution function, quantile-parametrized
qkuma()
Kumaraswamy quantile function, quantile-parametrized

Beta distribution

Mean-precision beta density, distribution and quantile functions (the comparison marginal).

dbetamp()
Beta density, mean-precision parametrization
pbetamp()
Beta distribution function, mean-precision parametrization
qbetamp()
Beta quantile function, mean-precision parametrization

Model fitting

Gaussian-copula marginal regression, likelihood, estimation and diagnostics.

nll_copula()
Negative log-likelihood of the Gaussian-copula marginal regression
fit_copula()
Fit the Gaussian-copula marginal regression by maximum likelihood
fit_copula_multi_tau()
Fit the model at several quantile levels, with a monotonicity/invariance check

Residuals and simulation

qresiduals()
Predictive quantile residuals
sim_copula()
Simulate from the Gaussian-copula marginal regression

Data

platina
Weekly acute diarrheal disease incidence in Platina, SP (annual harmonic)
platina_sem
Weekly acute diarrheal disease incidence in Platina, SP (semiannual harmonic)