Un théorème d'unicité pour les hyperplans poissoniens
Keyword(s):
A stationary Poisson process of hyperplanes in Rn is characterized (up to an equivalence) by the function θ such that θ(s) is the density of the Poisson point process induced on the straight lines with direction s. The set of these functions θ is a convex cone ℛ1, a basis of which is a simplex Θ, and a given function θ belongs to ℛ1 if and only if it is the supporting function of a symmetrical compact convex set which is a finite Minkowski sum of line segments or the limit of such finite sums. Another application is given concerning the tangential cone at h = 0 of a coveriance function.
1974 ◽
Vol 11
(01)
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pp. 184-189
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1974 ◽
Vol 6
(03)
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pp. 563-579
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1999 ◽
Vol 31
(02)
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pp. 315-342
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1985 ◽
Vol 28
(1)
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pp. 60-66
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1999 ◽
Vol 31
(2)
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pp. 315-342
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2001 ◽
Vol 70
(3)
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pp. 323-336
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1984 ◽
Vol 16
(02)
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pp. 324-346
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1984 ◽
Vol 27
(2)
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pp. 233-237
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