Random Marked Sets
2012 ◽
Vol 44
(3)
◽
pp. 603-616
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Keyword(s):
We aim to link random fields and marked point processes, and, therefore, introduce a new class of stochastic processes which are defined on a random set in . Unlike for random fields, the mark covariance function of a random marked set is in general not positive definite. This implies that in many situations the use of simple geostatistical methods appears to be questionable. Surprisingly, for a special class of processes based on Gaussian random fields, we do have positive definiteness for the corresponding mark covariance function and mark correlation function.
2012 ◽
Vol 44
(03)
◽
pp. 603-616
◽
1998 ◽
Vol 30
(01)
◽
pp. 1-35
◽
1998 ◽
Vol 30
(1)
◽
pp. 1-35
◽
2012 ◽
Vol I-3
◽
pp. 365-370
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Keyword(s):
1993 ◽
Vol 30
(02)
◽
pp. 365-372
◽
2015 ◽
Vol 47
(03)
◽
pp. 761-786
◽
Keyword(s):
2014 ◽
Vol 415
◽
pp. 194-204
◽
Keyword(s):