This paper studies a semiparametric nonstationary binary choice model. Imposing a spherical normalization constraint on the parameter for identification purpose, we find that the MSE and SMSE are at least sqrt(n)-consistent. Comparing this rate to the parametric MLE’s convergence rate, we show that when a normalization restriction is imposed on the parameter, the Park and Phillips (2000)’s parametric MLE converges at a rate of n^(3/4) and its limiting distribution is a mixed normal. Finally, we show briefy how to apply our estimation method to a nonstationary single index model.
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Paper provided by Institute of Economic Policy Research (IEPR) in its series IEPR Working Papers with number
05.37.
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Joon Y. Park & Peter C. B. Phillips, 2000.
"Nonstationary Binary Choice,"
Econometrica,
Econometric Society, vol. 68(5), pages 1249-1280, September.
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