I'm new to Empirical Likelihood Estimation.
I'm trying to find an example of how to find the empirical likelihood estimate of a univariate mean $\mu$ using the emplik
software package in R
.
Any help or reference is greatly appreciated.
I'm new to Empirical Likelihood Estimation.
I'm trying to find an example of how to find the empirical likelihood estimate of a univariate mean $\mu$ using the emplik
software package in R
.
Any help or reference is greatly appreciated.
Suppose that we have a random variable $X$ with expectation $\mu$ and we want to test $H_0 : \mu = 0$.
We can test this by
el.test(x, mu=0)
This will give us the log likelihood ratio $-2 \sum (\log(n p_i))$ and $p$ value.
Then you can decide about your hypothesis.
maximum empirical likelihood estimate, in the iid case, is the sample mean.
empirical likelihood method helps you to find a confidence interval.