Get the mean of a Normal distribution for a random variable Y needed to ensure that the distribution of X = exp(Y) (which is Log-Normal) has a specified mean and sd.

see arithmetic moments here https://en.wikipedia.org/wiki/Log-normal_distribution

Usage

convert_to_logmean(mean, sd)

Arguments

mean

target mean for the Log-Normal distribution of X

sd

target sd for the Log-Normal distribution X

Value

corresponding mean for the underlying Normal distribution of Y = log(X).