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Biometrika 1985 72(2):459-463; doi:10.1093/biomet/72.2.459
© 1985 by Biometrika Trust
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MISCEELANEA

Correcting segment counts for edge effects when estimating intensity

PETER HALL

Department of Statistics, Australian National University Canberra, ACT 2601, Australia

A formula is suggested for correcting segment or fibre counts for edge effects. The correction results in an unbiased estimate of segment intensity, provided only that the observation field is convex. No assumptions are made about the distribution of fibre length. A method is proposed for constructing confidence intervals for segment intensity, using the corrected segment count.

Key Words: Asbestos fibres • Confidence interval • Counting • Edge effect • Poisson process • Segment process • Unbiased estimator


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