dexp_mix: Exponential Mixture Density

In matheuscastro43/mixGM: Finite Mixture Models

Description

Gives the density value of a univariate Exponential mixture.

Usage

dexp_mix(x, pi, rate)

Arguments

x	value or vector of values, to apply in the mixture probability density function.
pi	vector of mixture weights.
rate	vector of rate parameters.

Details

Each component of the mixture has density

f_j(x) = λ_j exp(-λ_j * x)

where λ_j is the rate paramter of the jth component. j = 1, 2, ..., g.

Author(s)

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

Examples

f <- function(x){dexp_mix(x, pi = c(0.1, 0.9), rate = c(1, 1/30))}
## Plot using graphics package
require(graphics)
curve(f, 0, 40)

require(ggplot2)
## Plot using ggplot2 package
ggplot(data.frame(x=c(0, 40)), aes(x)) +
  stat_function(fun=f, size = 1L, colour = "#0c4c8a") +
  theme_minimal()

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

matheuscastro43/mixGM documentation built on March 2, 2020, 12:19 a.m.