Exponentially modified normal log-probability density function

Log-density for \(X = Z + E\), where \(Z\) follows a normal distribution with mean mu and standard deviation sigma, and \(E\) follows an exponential distribution with rate lambda.

Usage

exp_mod_normal_lpdf(x, mu, sigma, lambda, sum = TRUE)

Arguments

x

Vector of quantiles.

mu

Mean of the normal component.

sigma

Standard deviation of the normal component.

lambda

Rate of the exponential component.

sum

Logical; if TRUE (default), returns the sum of log-densities. If FALSE, returns element-wise log-densities.

Value

The sum of the log-density or a vector of log-densities.