一类乘法删失模型小波估计器的相合性

Consistency of Wavelet Estimator for Multiplicative Censored Model

在实际应用中,假定密度函数的光滑性并不合理,原因在于密度函数的光滑性往往是未知的.针对乘法删失混合模型的密度估计问题,在不假定密度函数光滑性的前提下研究线性小波估计器平均相合性.这一结果可以看作是对Chaubey、Chesneau与Doosti(2015)工作的补充.

It is not reasonable to assume the smoothness in practical applications,because the smoothness index of density function is unknown.A mixture model under multiplicative censoring was established in this paper.The mean consistency of linear wavelet estimator was investegated without the assumption of smoothness.The research can be seen as an extension of Chaubey,Chesneau and Doosti's(2015)work.