Semiparametric smoothing for discrete data

Faddy, M. J. and Jones, M. C. (1998). Semiparametric smoothing for discrete data. Biometrika, 85(1) pp. 131–138.

DOI: https://doi.org/10.1093/biomet/85.1.131

Abstract

A method for semiparametric smoothing of discrete data is proposed. The method consists of the repeated application of a Markov chain transition matrix constructed so as to have a given standard discrete parametric vehicle model as its stationary distribution. Theory and practical examples suggest that the approach yields improved performance over fully nonparametric methods when the vehicle model is a good one and otherwise provides a method comparable to fully nonparametric smoothers. An automatic choice of the amount of smoothing is proposed and used.

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About

• Item ORO ID
• 24030
• Item Type
• Journal Item
• ISSN
• 1464-3510
• Keywords
• binomial; Markov chain; poisson; probability function estimate; smoothing parameter selection; stationary distribution
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 1998 Biometrika Trust
• Depositing User
• Sarah Frain