The kernel method of estimation of curves is now popular and widely used in statistical applications. Kernel estimators suffer from boundary effects, however, when the support of the function to be estimated has finite endpoints. Several solutions to this problem have already been proposed. Here the
A semiparametric method of boundary correction for kernel density estimation
β Scribed by T. Alberts; R.J. Karunamuni
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 226 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
We propose a new estimator for boundary correction for kernel density estimation. Our method is based on local Bayes techniques of Hjort (Bayesian Statist. 5 (1996) 223). The resulting estimator is semiparametric type estimator: a weighted average of an initial guess and the ordinary re ection method estimator. The proposed estimator is seen to perform quite well compared to other existing well-known estimators for densities which have the shoulder condition at the endpoints.
π SIMILAR VOLUMES
A conditional density function, which describes the relationship between response and explanatory variables, plays an important role in many analysis problems. In this paper, we propose a new kernelbased parametric method to estimate conditional density. An exponential function is employed to approx
The goal is to prove large deviations limit theorems for statistics, which are based on kernel density estimator and which are designed for symmetry testing. The formulas for the rate functions of the pointwise di erence and the uniform norm of the di erence are expressed in terms of the underlying
In this paper we consider the weighted average square error A,(rc)= (l/n)~=1 {f"(3))f(Xj)}2~(Xj), where f is the common density function of the independent and identically distributed random vectors X~ ..... X,, f, is the kernel estimator based on these vectors and ~z is a weight function. Using U-s