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Density of the Kumaraswamy distribution reparametrized so that mu is its tau-quantile, mu = F^{-1}(tau), rather than one of the two standard shape parameters. For tau = 0.5, mu is the median, the parametrization of Mitnik and Baek (2013).

Usage

dkuma(y, mu, theta, tau = 0.5, log = FALSE)

Arguments

y

Numeric vector in (0, 1).

mu

Numeric vector, the tau-quantile, in (0, 1).

theta

Numeric vector, the shape parameter, > 0.

tau

Quantile level, in (0, 1). Default 0.5 (median).

log

Logical; if TRUE, the log-density is returned.

Value

Numeric vector of (log-)densities.

See also