I apologize for the poor formatting of my previous post as the line breaks got
stripped. I hope this is easier to read.
Hi,
Does anyone know what the mean value of a lognormal distribution in base-2 is?
I am simulating stochastic population growth and if I were working in base-e, I
would do:
lambda <- 1.1 #multiplicative growth rate
s <- 0.6 #stochasticity (std. dev)
lognormal <- rlnorm(100000, log(lambda) - (s^2)/2, s)
## or lognormal <- exp( rnorm( 100000, log(lambda) - (s^2)/2, s)
mean(log(lognormal))
which gives the desired mean of mean-(var^2)/2. Unfortunately, I have to do
this in base-2. I know that I can generate a lognormal in base 2 by raising 2
to the power of the variates, but I don't know what the mean value should be.
Any help is much appreciated...
Mark
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