dbetar: Beta Rectangular Distribution Density

In matheuscastro43/finiteMix: Finite Mixture Models

Beta Rectangular Distribution Density

Description

Gives the density value of a univariate Beta Rectangular Distribution.

Usage

dbetar(x, pi, mu, phi, log = FALSE)

Arguments

x	value or vector of values, to apply in the mixture probability density function.
pi	vector of mixture weights.
mu	value of parameter.
phi	value of parameter.
log	logical; if TRUE, probabilities p are given as log(p).

Details

The mixture has density

f(x) = π_1 + π_2 * (x^(mu*phi - 1) * (1 - x)^((1-mu)*phi)).

Author(s)

CASTRO, M. O.; MONTALVO, G. S. A.

Examples

f <- function(x){dbetar(x, pi = c(0.5, 0.5), mu = 0.4, phi = 3)}
## Plot using graphics package
require(graphics)
curve(f, 0, 1)

require(ggplot2)
## Plot using ggplot2 package
ggplot(data.frame(x=c(0, 1)), aes(x)) +
  stat_function(fun=f, size = 1L, colour = "#0c4c8a") +
  theme_minimal()

## Integrate
integrate(f, 0, 1)$value

matheuscastro43/finiteMix documentation built on March 30, 2022, 12:49 p.m.