4.2 Estimation of semiparametric panel countdatamodels ................... 140
4.2.1 Sieve Minimum Distance Estimation . . . . 141 4.2.2 Kernel estimation based on a nonlinear integralequation ................ 146 4.3 Asymptoticproperties ................ 152
4.3.1 Asymptotic properties for the SMD estimator152 4.3.2 Asymptotic properties for the local smoothing estimator of g().............. 157 · 4.4 A speci.cation test for the linear function form of g () ........................... 160 · 4.4.1 Hypotheses................... 160
4.4.2 The test statistic and asymptotic properties 162 4.4.3 A bootstrap version of the test . . . . . . . . 166 3 4.5 MonteCarlosimulations ............... 167
4.5.1 Data generating processes and implemen tation ...................... 168
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