prime_image {eel} R Documentation

## Calculating prime-image based on similarity mapping for the mean

### Description

The function calculates the prime image of the given point based on the similarity mapping defined in the EEL calculaiton.

### Usage

prime_image(theta_tilda, theta, x)
## Default S3 method:
prime_image(theta_tilda,theta,x)


### Arguments

 theta_tilda Sample mean or the maximum empirical likelihood estimate of the estimating equaitons. theta Value to be evaluated. x Data matrix.

### Details

The prime image was found by solving the equation

f(\zeta'')=\zeta'.

See the reference paper for details.

### Value

The function returns a vector, with the same length as the mean, representing the prime image of the point theta, based on the similarity mapping defind in EEL calculation.

### Author(s)

Fan Wu and Yu Zhang

### References

Tsao, M. (2013). Extending the empirical likelihood by domain expansion. The Canadian Journal of Statistics, 41 (2), 257-274.

Tsao, M., & Wu, F. (2013). Empirical likelihood on the full parameter space. Annals of Statistics, 0 (00), 1-21. doi: 10.1214/13-AOS1143

EEL,exp_factor,eel-package,prime_image_est
x=rnorm(50,6,2)