A characterization of order statistic point processes that are mixed Poisson processes and mixed sample processes simultaneously
Keyword(s):
The Real
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The results of Nawrotzki (1962), Feigin (1979) and Puri (1982) show that the class of all point processes (on the real line) with the order statistic property consists of all mixed Poisson processes up to a time-scale transformation, and of all mixed sample processes. The present note characterizes those order statistic point processes that are mixed Poisson processes and mixed sample processes simultaneously.
1982 ◽
Vol 19
(01)
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pp. 39-51
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2007 ◽
Vol 250
(2)
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pp. 400-425
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Sufficient conditions for long-range count dependence of stationary point processes on the real line
2001 ◽
Vol 38
(2)
◽
pp. 570-581
◽
Keyword(s):
The Real
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