Researches Of Some Statistical Inference Problems For NQD Samples

This paper mainly discuss the problems of statistical inference for NQD samples, which extend the correlation results on independent and associate samples such as NA.It is consists of five parts in our paper.In the first part, we introduce the advance of NQD sequences firstly and then we expatiate the method of nonparametric density estimate,M-methods in linear model and nonparametric regression estimate secondly, at the same time , we introduce their's status.In the second part, we mainly discuss density estimate in general case for NQD samples. using moment inequality, we get the strong consistency and moment consistency.In the third part ,we discuss M-methods in linear regression model for NQD errors and we get the results similarly to the conclution for NA samples.In the fourth part, we discuss weight estimate of nonparametric regression in general case, and get the consistency for NQD sequence in fixed design,which extend correlation results in some inferences.In the last part, we give the summarize and prospect.