Hello,
I am trying to fit a exponential power distribution
y = b/(2*pi*a^2*gamma(2/b))*exp(-(x/a)^b)
to a bunch of data for x and y I have in a table.
data
x y
1 25 27
2 75 59
3 125 219
...
259 12925 1
260 12975 0
I know "optim" should do a minimisation, therefor I used as the
optimisation function
opt.power <- function(val, x, y) {
a <- val[1];
b <- val[2];
sum(y - b/(2*pi*a^2*gamma(2/b))*exp(-(x/a)^b));
}
I call: (with xm and ym the data from the table)
a1 <- c(0.2, 100)
opt <- optim(a1, opt.power, method="BFGS", x=xm, y=ym)
but no optimisation of the parameter in a1 takes place.
Any ideas?