CHENG Ping, XU Wenyuan, . THE ESTIMATION OF PARAMETERS ON SINGULAR POINT WITH APPLICATIONS TO SEMI-PARAMETRIC MODELS[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(1): 42-51.
Citation:
CHENG Ping, XU Wenyuan, . THE ESTIMATION OF PARAMETERS ON SINGULAR POINT WITH APPLICATIONS TO SEMI-PARAMETRIC MODELS[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(1): 42-51.
CHENG Ping, XU Wenyuan, . THE ESTIMATION OF PARAMETERS ON SINGULAR POINT WITH APPLICATIONS TO SEMI-PARAMETRIC MODELS[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(1): 42-51.
Citation:
CHENG Ping, XU Wenyuan, . THE ESTIMATION OF PARAMETERS ON SINGULAR POINT WITH APPLICATIONS TO SEMI-PARAMETRIC MODELS[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(1): 42-51.
THE ESTIMATION OF PARAMETERS ON SINGULAR POINT WITH APPLICATIONS TO SEMI-PARAMETRIC MODELS
In this paper we give a strong consistent estimation of parameters on singular point of density function. For example, we estimate a, a, of density function f(x)=0, x≤0; f(x)=a(x)xa, 0<x<δ, a(0)=a, |a|<1. We also consider the applications of this estimation on semi-parametric models.