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Linear boundary kernels for bivariate density estimation

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  • Hazelton, Martin L.
  • Marshall, Jonathan C.

Abstract

We propose a new linear boundary kernel for bivariate density estimation on a compact region. This kernel is simple to implement even for irregular boundaries, and reduces the boundary bias to the same asymptotic order as for an interior point.

Suggested Citation

  • Hazelton, Martin L. & Marshall, Jonathan C., 2009. "Linear boundary kernels for bivariate density estimation," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 999-1003, April.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:8:p:999-1003
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    References listed on IDEAS

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    1. Chen, Song Xi, 1999. "Beta kernel estimators for density functions," Computational Statistics & Data Analysis, Elsevier, vol. 31(2), pages 131-145, August.
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    Cited by:

    1. Madeleine Cule & Richard Samworth & Michael Stewart, 2010. "Maximum likelihood estimation of a multi‐dimensional log‐concave density," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(5), pages 545-607, November.
    2. Marshall, Jonathan C. & Hazelton, Martin L., 2010. "Boundary kernels for adaptive density estimators on regions with irregular boundaries," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 949-963, April.
    3. Hazelton, Martin L., 2011. "Assessing log-concavity of multivariate densities," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 121-125, January.

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