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using optimize with two unknowns, e.g. to parameterize a distribution with given confidence interval
2010 Oct 15
2
using optimize with two unknowns, e.g. to parameterize a distribution with given confidence interval
Hi,
I would like to write a function that finds parameters of a log-normal
distribution with a 1-alpha CI of (x_lcl, x_ucl):
However, I don't know how to optimize for the two unknown parameters.
Here is my unsuccessful attempt to find a lognormal distribution with
a 90%CI of 1,20:
prior <- function(x_lcl, x_ucl, alpha, mean, var) {
a <- (plnorm(x_lcl, mean, var) - (alpha/2))^2
b <- (plnorm(x_ucl, me...