I have a numeric data sample with mean $\mu$ and standard deviation $\sigma$. I believe that this data has a normal distribution truncated to $[0,1]$.
Is there a reasonably simple formula for estimating the parameters $\mu', \sigma'$ of that truncated normal distribution? Is there an R command which does it?
I understand that I could find $\mu', \sigma'$ by applying a maximum-likelihood fitting algorithm directly to my data (through, say, fitdistr in R).
Is there some good understanding how much more precise approach (2) is over approach (1)? Say the sample size is from 10 to 100, $\mu=0.75,$ $\sigma=0.15$.