Zero-One-Inflated Beta Distribution

Density, distribution function and quantile function for the zero-one-inflated beta distribution.

Usage

dzero_one_inflated_beta(x, shape1, shape2, zoi, coi, log = FALSE)

pzero_one_inflated_beta(
  q,
  shape1,
  shape2,
  zoi,
  coi,
  lower.tail = TRUE,
  log.p = FALSE
)

qzero_one_inflated_beta(
  p,
  shape1,
  shape2,
  zoi,
  coi,
  lower.tail = TRUE,
  log.p = FALSE
)

Arguments

x

Vector of quantiles.

shape1, shape2

shape parameters of the beta component

zoi

zero-one-inflation probability

coi

conditional one-inflation probability

log

Logical; If TRUE, values are returned on the log scale.

q

Vector of quantiles.

lower.tail

Logical; If TRUE (default), return P(X <= x). Else, return P(X > x) .

log.p

Logical; If TRUE, values are returned on the log scale.

p

Vector of probabilities.

Details

With probability \(\zeta\) the response is 0 or 1, and conditionally on inflation it is 1 with probability \(\gamma\). With probability \(1 - \zeta\) the response follows a beta distribution.