Journal of Nonparametric Statistics 30(3) 598-639 2018年7月 [査読有り]
We consider density estimation for nonnegative data using generalised gamma density. What is being emphasised here is that a negative exponent is allowed. We show that, for each positive or negative exponent, (i) generalised gamma kernel density e...
This paper suggests a multivariate asymmetric kernel density estimation using a multivariate weighted log-normal (LN) kernel for non-negative multivariate data. Asymptotic properties of the multivariate weighted LN kernel density estimator are stu...
JOURNAL OF THE KOREAN STATISTICAL SOCIETY 46(2) 194-207 2017年6月 [査読有り]
This paper considers a varying asymmetric kernel estimation of the density f for non negative data. Regardless of f(0) = 0 or f (0) > 0, it is important to give a good varying shape/scale parameter for the inverse gamma (IGam) kernel, due to th...
JOURNAL OF NONPARAMETRIC STATISTICS 28(1) 1-30 2016年1月 [査読有り]
The beta kernel estimator for a density with support
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was discussed by Chen [(1999) 'Beta Kernel Estimators for Density Functions', Computational Statistics and Data Analysis, 31, 131-145]. In this paper, when the underlying density has ...
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 45(22) 6670-6687 2016年 [査読有り]
The log-normal (LN) kernel estimator of a density with support [0, ) was discussed by Jin and Kawczak (2003). The contribution of this paper is to suggest a new class of LN kernel estimators using the idea of weighted distribution. The asymptotic ...