exp_factor_est {eel} R Documentation

## Calculating expansion factor for EEL for parameters defined by estimating equations

### Description

The function calculates the first order expansion factor of EEL for the parameters defined by estimating equations.

### Usage

exp_factor_est(x, theta, equation)
## Default S3 method:
exp_factor_est(x,theta,equation)


### Arguments

 x Data Matrix. theta The value to be evaluated. equation The estimating equation by which the parameters are defined.

### Details

The first order expansion factor for calculating EEL is defined as

\gamma(n,l(\theta))=1+\frac{l(\theta)}{2n}.

The estimating equation input has to be a function of theta.

### Value

The function will return a numerical value representing the value of the expansion factor calculated.

### Author(s)

Yu Zhang and Fan Wu

### References

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

eel-package, exp_factor, EEL_est, prime_image_est
#generate data with theoretical mean 2 and standard deviation 1