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Unbiased stereological estimation of d-dimensional volume in Rn from an isotropic random slice through a fixed point

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Unbiased stereological estimators of d-dimensional volume in R(n) 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 R(n) through 0 hits a fixed point in R(n) is given.
OriginalsprogEngelsk
TidsskriftAdvances in Applied Probability
Vol/bind26
Nummer1
Sider (fra-til)1-12
Antal sider12
ISSN0001-8678
DOI
StatusUdgivet - 1 mar. 1994

    Forskningsområder

  • CROFTON FORMULA, INTEGRAL GEOMETRY, ISOTROPIC SUBSPACES, SLICES, STEREOLOGY

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