# EEF.profile

##### Empirical Likelihoods

Construct the empirical log likelihood or empirical exponential family log likelihood for a mean.

- Keywords
- htest

##### Usage

```
EEF.profile(y, tmin = min(y) + 0.1, tmax = max(y) - 0.1, n.t = 25,
u = function(y, t) y - t)
EL.profile(y, tmin = min(y) + 0.1, tmax = max(y) - 0.1, n.t = 25,
u = function(y, t) y - t)
```

##### Arguments

- y
A vector or matrix of data

- tmin
The minimum value of the range over which the likelihood should be computed. This must be larger than

`min(y)`

.- tmax
The maximum value of the range over which the likelihood should be computed. This must be smaller than

`max(y)`

.- n.t
The number of points between

`tmin`

and`tmax`

at which the value of the log-likelihood should be computed.- u
A function of the data and the parameter.

##### Details

These functions calculate the log likelihood for a mean using either
an empirical likelihood or an empirical exponential family likelihood.
They are supplied as part of the package `boot`

for demonstration
purposes with the practicals in chapter 10 of Davison and Hinkley (1997).
The functions are not intended for general use and are not supported
as part of the `boot`

package. For more general and more robust
code to calculate empirical likelihoods see Professor A. B. Owen's
empirical likelihood home page at the URL
http://statistics.stanford.edu/~owen/empirical/.

##### Value

A matrix with `n.t`

rows. The first column contains the
values of the parameter used. The second column of the output
of `EL.profile`

contains the values of the empirical
log likelihood. The second and third columns of the output of
`EEF.profile`

contain two versions of the empirical
exponential family log-likelihood. The final column of the
output matrix contains the values of the Lagrange multiplier
used in the optimization procedure.

##### References

Davison, A. C. and Hinkley, D. V. (1997)
*Bootstrap Methods and Their Application*. Cambridge University
Press.

*Documentation reproduced from package boot, version 1.3-25, License: Unlimited*