NA样本下半参数EV模型小波估计的渐近性
Asymptotic Properties of Wavelet Estimators in a Semiparametric EV Model under NA Samples
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摘要: 本文用小波光滑的方法研究了误差为NA序列情形下的半参数EV模型, 得到了参数、非参数和误差方差的估计量分别为, , , 并证明了它们的强相合性和渐近正态性.Abstract: In this paper, we research the semiparametric EV model under NA samples. Some estimators of the parameter, nonparameter and the variance function are established by the wavelet smoothing method. Under some general conditions, the strong consistency and the asymptotic normality of wavelet estimators are studied.