rVIB function

Random generation from the variance-inflated beta distribution

The function generates random values from the variance-inflated beta distribution, or from the augmented variance-inflated beta distribution.

rVIB(n, mu, phi, p, k, q0 = NULL, q1 = NULL)

Arguments

• n: the number of values to generate. If length(n) > 1, the length is taken to be the number required.
• mu: the mean parameter. It must lie in (0, 1).
• phi: the precision parameter. It must be a real positive value.
• p: the mixing weight. It must lie in (0, 1).
• k: the extent of the variance inflation. It must lie in (0, 1).
• q0: the probability of augmentation in zero. It must lie in (0, 1). In case of no augmentation, it is NULL (default).
• q1: the probability of augmentation in one. It must lie in (0, 1). In case of no augmentation, it is NULL (default).

Returns

A vector of length n.

Examples

rVIB(n = 100, mu = .5, phi = 30, p = .3, k = .6)
rVIB(n = 100, mu = .5, phi = 30, p = .3, k = .6, q0 = .2, q1 = .1)

References

Di Brisco, A. M., Migliorati, S., Ongaro, A. (2020). Robustness against outliers: A new variance inflated regression model for proportions. Statistical Modelling, 20 (3), 274--309. doi:10.1177/1471082X18821213