Closed form: no numerical inversion is needed, unlike the beta distribution.
This is the property the paper's copula construction, predictive quantile
residuals and prediction bands rely on throughout.
Usage
qkuma(u, mu, theta, tau = 0.5)
Arguments
- u
Numeric vector of probabilities 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).
Value
Numeric vector, F^{-1}(u).