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Random set and coverage measure

Published online by Cambridge University Press:  01 July 2016

Guillermo Ayala ,
Juan Ferrandiz  and
Francisco Montes
Guillermo Ayala
Affiliation:
Universitat de València
Juan Ferrandiz
Affiliation:
Universitat de València
Francisco Montes*
Affiliation:
Universitat de València
*
∗Postal address: Departamento de Estadística e Investigación Operativa, Universitat de València, 46100-Burjassot (València), Spain.
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Abstract

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It is well known that a random set determines its random coverage measure. The paper gives a necessary and sufficient condition for the reverse implication. An equivalent formulation of the condition constitutes a first step in the search for a way to recognize a random measure as being the random coverage measure of a random set.

Keywords

RANDOM MEASURERANDOM COVERAGE MEASURE
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 23 , Issue 4 , December 1991 , pp. 972 - 974
Copyright
Copyright © Applied Probability Trust 1991 

Footnotes

This work was supported in part by DGICYT grant no. PB 87-0992.

References

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