Infinite intensity mixtures of point processes
1982 ◽
Vol 92
(1)
◽
pp. 109-114
Keyword(s):
AbstractLet the stationary point process N(·) be the mixture of scaled versions of a stationary orderly point process N1(·) of unit intensity with mixing distribution G(·), so thatWithN(·) has finite or infinite intensity as is finite or infinite, and it is Khinchin orderly when the function γ(·) is slowly varying at infinity. Conditions for N(·) to be orderly involve both G(·) and the Palm distribution of N1(·).