Choice of the bandwidth ratio in Rice’s boundary modification

Research output: Contribution to journalJournal articlepeer-review


Rice (1984) proposed a boundary modified kernel regression method which linearly combines two kernel regression estimators based on different bandwidths. In the context of density estimation, advantages of this method over two other popular approaches, local linear fitting and the boundary kernels of Müller (1991), are discussed. Selection of the ratio of the two bandwidths is studied. Asymptotic and exact mean squared errors are provided as tools to analyze the problem. In the case of Normal kernels, keeping the bandwidth ratio fixed, for ease and speed of implementation, and a specific bandwidth ratio are suggested.
Original languageEnglish
Pages (from-to)235–251
Number of pages17
JournalJournal of the Chinese Statistical Association
Issue number3
Publication statusPublished - 1 Sept 2006

User-Defined Keywords

  • boundary effect
  • boundary kernel
  • exact mean squared error
  • kernel smoothing
  • local linear smoothing


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