On the superposition of m-dimensional point processes
Keyword(s):
The One
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Consider n independent vector valued point processes. Superposition is defined component by component as a natural extension of the definition for the one-dimensional case. Under proper conditions as n → ∞, it is shown that the superposed process is a many-dimensional Poisson process with independent components. The results are applied to the superposition of Markov renewal processes.
1968 ◽
Vol 5
(01)
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pp. 169-176
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2018 ◽
Vol 38
(1)
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pp. 77-101
2014 ◽
Vol 31
(10)
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pp. 2078-2087
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2004 ◽
Vol 36
(2)
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pp. 471-498
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2017 ◽
Vol 60
(3)
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pp. 586-603
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