Identifiability for random translations of Poisson processes |
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Authors: | R. K. Milne |
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Affiliation: | (1) Department of Statistics Institute of Advanced Studies, The Australian National University, Box 4, PO, 2600 Canberra, ACT, Australia |
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Abstract: | Summary A system in which each point of a stationary Poisson process is subjected to a random displacement, the displacements being independently and identically distributed, is considered. It is shown that the displacement distribution is identifiable if we are given a realization of the original process and the corresponding realization of the displaced process but not the linkage between the two. |
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