Densities for stationary random sets and point processes
1984 ◽
Vol 16
(02)
◽
pp. 324-346
◽
Keyword(s):
For certain stationary random setsX, densitiesDφ(X) of additive functionalsφare defined and formulas forare derived whenKis a compact convex set in. In particular, for the quermassintegrals and motioninvariantX, these formulas are in analogy with classical integral geometric formulas. The case whereXis the union set of a Poisson processYof convex particles is considered separately. Here, formulas involving the intensity measure ofYare obtained.
Keyword(s):
1996 ◽
Vol 28
(02)
◽
pp. 384-393
◽
Keyword(s):
1999 ◽
Vol 31
(02)
◽
pp. 315-342
◽
1999 ◽
Vol 31
(2)
◽
pp. 315-342
◽
1977 ◽
Vol 14
(03)
◽
pp. 483-491
◽
Keyword(s):
Keyword(s):
Keyword(s):
2001 ◽
Vol 70
(3)
◽
pp. 323-336
◽
Keyword(s):
1974 ◽
Vol 6
(03)
◽
pp. 563-579
◽
Keyword(s):
1984 ◽
Vol 27
(2)
◽
pp. 233-237
◽
Keyword(s):