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Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point
Published online by Cambridge University Press: 01 July 2016
Abstract
Unbiased stereological estimators of d-dimensional volume in ℝn are derived, based on information from an isotropic random r-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random r-slice in ℝn through O hits a fixed point in ℝn is given.
MSC classification
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- Stochastic Geometry and Statistical Applications
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- Copyright
- Copyright © Applied Probability Trust 1994
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