This paper deals with the LP-consistency of wavelet estimators for a density function based on size-biased random samples. More precisely, we firstly show the LP-consistency of wavelet estimators for independent and i...This paper deals with the LP-consistency of wavelet estimators for a density function based on size-biased random samples. More precisely, we firstly show the LP-consistency of wavelet estimators for independent and identically distributed random vectors in Rd. Then a similar result is obtained for negatively associated samples under the additional assumptions d = 1 and the monotonicity of the weight function.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11271038)
文摘This paper deals with the LP-consistency of wavelet estimators for a density function based on size-biased random samples. More precisely, we firstly show the LP-consistency of wavelet estimators for independent and identically distributed random vectors in Rd. Then a similar result is obtained for negatively associated samples under the additional assumptions d = 1 and the monotonicity of the weight function.
