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On the stereological estimation of reduced moment measures (1990)

Jensen, E. B. ; Kiêu, K. ; Gundersen, H. J. G.

Springer

Annals of the Institute of Statistical Mathematics 42 (1990), S. 445-461

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ISSN: 1572-9052

Keywords: Boolean model ; Hausdorff measures ; marked point processes ; measure decomposition ; moment measures ; stereology ; stochastic geometry

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Recently, a new set of fundamental stereological formulae based on isotropically oriented probes through fixed points have been derived, the so-called “nucleator” estimation principle (cf. Jensen and Gundersen (1989, J. Microsc., 153, 249–267)). In the present paper, it is shown how a model-based version of these formulae leads to stereological estimators of reduced moment measures of stationary and isotropic random sets in ℝ n .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00049301

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