3

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.

Firebug
  • 15,262
  • 5
  • 60
  • 127
userK
  • 31
  • 4

2 Answers2

1

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.

QuantIbex
  • 3,880
  • 1
  • 24
  • 42
code85
  • 11
  • 1
  • 2
    Could you write a little bit more because from your answer it is not even clear what is `el.test` function and what are the `n`, `p`, `i` values in log likelihood function. – Tim Mar 21 '15 at 07:34
-4

maximum empirical likelihood estimate, in the iid case, is the sample mean.

empirical likelihood method helps you to find a confidence interval.

mai
  • 3