KERNEL DENSITY-ESTIMATION FOR LENGTH BIASED DATA

• 成果类型: Article
• 署名作者: JONES, MC
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• 发表日期: 1991
• 页码: 511519
• 关键词: DISTRIBUTIONS; selection

摘要

A new kernel density estimator for length biased data which derives from smoothing the nonparametric maximum likelihood estimator is proposed and investigated. It has various advantages over an alternative method suggested by Bhattacharyya, Franklin & Richardson (1988): it is necessarily a probability density, it is particularly better behaved near zero, it has better asymptotic mean integrated squared error properties and it is more readily extendable to related problems such as density derivative estimation.