prime_image {eel} | R Documentation |
The function calculates the prime image of the given point based on the similarity mapping defined in the EEL calculaiton.
prime_image(theta_tilda, theta, x)
## Default S3 method:
prime_image(theta_tilda,theta,x)
theta_tilda |
Sample mean or the maximum empirical likelihood estimate of the estimating equaitons. |
theta |
Value to be evaluated. |
x |
Data matrix. |
The prime image was found by solving the equation
f(\zeta'')=\zeta'.
See the reference paper for details.
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.
Fan Wu and Yu Zhang
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)
# find the prime image of true mean
prime_image(theta_tilda=mean(x),theta=6,x=x)