Origins of geometric probability and stereology

0343148 - MÚ 2011 RIV IT eng C - Konferenční příspěvek (zahraniční konf.)
Saxl, Ivan - Hykšová, M.
Origins of geometric probability and stereology.
Stereology and Image Analysis. Bologna: Esculapio, 2009 - (Capasso, V.; Aletti, G.; Micheletti, A.), s. 173-178. ISBN 978-88-7488-310-3.
[10tj European Congress of Stereology and Image Analysis. Milano (IT), 22.06.2009-26.06.2009]
Grant CEP: GA AV ČR(CZ) IAA100110502
Grant ostatní: GA AV ČR(CZ) IAA801240901
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: geometric probability * stereology * counting measure * probe
Kód oboru RIV: BA - Obecná matematika

The basic difference between the geometric and ordinary probabilities is that the relevant populations are not counted, but measured. Geometric probability was for a long time directed by its possible applications in spatial games based on chance and in mathematical education. With the exception of one case no mathematicians have been thinking about its practical application. On the other hand, practical rules of estimation were proposed without proof, which would be trivial in several cases. A short account of these two parallel ways will be given.
Trvalý link: http://hdl.handle.net/11104/0185690