dglindley: Generalized Lindley Distribution Density
In matheuscastro43/finiteMix: Finite Mixture Models

Density Generalized Lindley Distribution

R Documentation

Generalized Lindley Distribution Density

Description

Gives the density value of a univariate Generalized Lindley Distribution.

Usage

dglindley(x, alpha, beta, gamma, log = FALSE)

Arguments

`x`	value or vector of values, to apply in the mixture probability density function.
`alpha`	value of parameter.
`beta`	value of parameter.
`gamma`	value of parameter.
`log`	logical; if TRUE, probabilities p are given as log(p).

Details

The distribution has density

f(x) = (x^(α - 1) * (α + γ*x) * exp(-x/β))/(β^(α * (β*γ + 1) * Gamma(α + 1))).

Author(s)

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

Examples

f <- function(x){dglindley(x, alpha = 2, beta = 4, gamma = 3)}
## Plot using graphics package
require(graphics)
curve(f, 0, 30)

require(ggplot2)
## Plot using ggplot2 package
ggplot(data.frame(x=c(0, 30)), aes(x)) +
  stat_function(fun=f, size = 1L, colour = "#0c4c8a") +
  theme_minimal()

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

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