Abstract:

We used the empirical likelihood method to obtain estimators of the population parameters and cumulative distribution function (CDF) for measurement error model with multiple populations. Our estimator of CDF is asymptotically unbiased and utilizes all the available sample information. Then we
applied the empirical likelihood to the NS sampling model and obtained the efficient estimation of the common mean and CDF. Simulation study further demonstrates the good properties of our estimators.

Key words: cumulative distribution function, efficient, empirical likelihood, measurement error, multiple populations