bda (version 16.1.3)

mlorm: The mixed lognormal distribution

Description

Density, distribution function, quantile function and random generation for the lognormal mixture distribution with means equal to 'mu' and standard deviations equal to 's'.

Usage

dmlnorm(x,p,mean,sd)
	pmlnorm(q,p,mean,sd)
	qmlnorm(prob,p,mean,sd)
	rmlnorm(n,p,mean,sd)

Value

return the density, probability, quantile and random value for the four functions, respectively.

Arguments

x,q

vector of quantiles in dmixnorm and pmixnorm. In qmixnorm, 'x' is a vector of probabilities.

p

proportions of the mixture components.

prob

A vector of probabilities.

n

number of observations. If 'length(n) > 1', the length is taken to be the number required.

mean

vector of means

sd

vector of standard deviations

Examples

p <- c(.4,.6)
mu <- c(1,4)
s <- c(2,3)
dmlnorm(c(0,1,2,20),p,mu,s)
pmlnorm(c(0,1,2,20),p,mu,s)
qmlnorm(c(0,1,.2,.20),p,mu,s)
rmlnorm(3,p,mu,s)