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Local polynomial estimation of Poisson intensities in the presence of reporting delays

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  • Feng Chen
  • Richard M. Huggins
  • Paul S. F. Yip
  • K. F. Lam

Abstract

The system for monitoring suicides in Hong Kong has considerable delays in reporting as the cause of death needs to be determined by a coroner's investigation. However, timely estimates of suicide rates are desirable to assist in the formulation of public health policies. This motivated us to develop a non-parametric procedure to estimate the intensity function of a Poisson process in the presence of reporting delays. We give closed form estimators of the Poisson intensity and the delay distribution, conduct simulation studies to evaluate the method proposed and derive their asymptotic properties. The method proposed is applied to estimate the intensity of suicide in Hong Kong. Copyright (c) 2008 Royal Statistical Society.

Suggested Citation

  • Feng Chen & Richard M. Huggins & Paul S. F. Yip & K. F. Lam, 2008. "Local polynomial estimation of Poisson intensities in the presence of reporting delays," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 57(4), pages 447-459.
  • Handle: RePEc:bla:jorssc:v:57:y:2008:i:4:p:447-459
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    References listed on IDEAS

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    1. Richard M. Huggins & Peter Hall & Paul S. F. Yip & Quang M. Bui, 2007. "Applications of Additive Semivarying Coefficient Models: Monthly Suicide Data from Hong Kong," Biometrics, The International Biometric Society, vol. 63(3), pages 708-713, September.
    2. Jens Perch Nielsen, 2001. "Boundary and Bias Correction in Kernel Hazard Estimation," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(4), pages 675-698.
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