Coverage plots for assessing the variability of estimated contours of a density

Xun Guo Lin, Alun Pope

Research output: Contribution to journalArticleResearchpeer-review


Methods for assessing the variability of an estimated contour of a density are discussed. A new method called the coverage plot is proposed. Techniques including sectioning and bootstrap techniques are compared for a particular problem which arises in Monte Carlo simulation approaches to estimating the spatial distribution of risk in the operation of weapons firing ranges. It is found that, for computational reasons, the sectioning procedure outperforms the bootstrap for this problem. The roles of bias and sample size are also seen in the examples shown.

Original languageEnglish
Pages (from-to)325-336
Number of pages12
JournalStatistics and Computing
Issue number4
Publication statusPublished - 1 Jan 1996
Externally publishedYes


  • Bootstrap
  • Contours
  • Density estimation
  • Monte Carlo simulation
  • Sectioning
  • Weapons firing ranges

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