Otsu, Taisuke, Seo, Myung Hwan and Whang, Yoon-Jae (2012) Testing for non-nested conditional moment restrictions using unconditional empirical likelihood. Journal of Econometrics, 167 (2). pp. 370-382. ISSN 0304-4076
We propose non-nested hypothesis tests for conditional moment restriction models based on the method of generalized empirical likelihood (GEL). By utilizing the implied GEL probabilities from a sequence of unconditional moment restrictions that contains equivalent information of the conditional moment restrictions, we construct Kolmogorov-Smirnov and Cramér-von Mises type moment encompassing tests. Advantages of our tests over tests are: (i) they are free from smoothing parameters, (ii) they can be applied to weakly dependent data, and (iii) they allow non-smooth moment functions. We derive the null distributions, validity of a bootstrap procedure, and local and global power properties of our tests. The simulation results show that our tests have reasonable size and power performance in finite samples.
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