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Empirical Likelihood Confidence Regions of Parameters in Nonlinear EV Models under Missing Data

Liu Qiang (School of Statistics,Capital University of Economics and Business,Beijing 100070) Xue Liugen (College of Applied Sciences.Beijing University of Technology,Beijing 100022)  
The missing response problem in the nonlinear EV(error-in-variables) models is considered,where the explanatory variate X is erroneously measured.With the help of validation data,two empirical log-likelihood ratio statistics for the unknown parameters in the model are proposed.It is proved that the proposed statistics are asymptotically chi-square distribution under some mild conditions,and hence can be used to constructing the confidence regions of the parameters.
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