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On two marked point processes

Journal of Applied Probability, 1977
Two examples for marked point processes are discussed and some characteristic parameters of these models are calculated. Both examples are in some way modifications of the counter models which are well known and treated in several textbooks.
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Stationary Marked Point Processes

1987
A counting measure on R is a measure m on (R, B) such that $$ {\text{m}}\left( {\text{C}} \right) \in \{ 0,{\text{1}},{\text{ }}.{\text{ }}.{\text{ }}.\infty \} {\text{ for all C}} \in {\text{B}}, $$ (i) $$ {\text{m }} < \left( {\left[ {{\text{a}},{\text{b}}} \right]} \right){\text{ }} < {\text{ }}\infty {\text{ for all a}},{\text{ b ...
François Baccelli, Pierre Brémaud
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Subsampling Marked Point Processes

1999
In this chapter, we assume that {X(t), t ∈ ℝ d } is a homogeneous random field in d dimensions, with d ∈ ℤ+; that is, X(t), t ∈ ℝ d } is a collection of random variables X(t) taking values in an arbitrary state space S, and indexed by the continuous variable t ∈ ℝ d . However, for reasons to be apparent shortly, the probability law of the random field {
Dimitris N. Politis   +2 more
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A functional marked point process model for lupus data

Canadian Journal of Statistics, 2012
Carlotta Ching Ting Fok   +2 more
exaly  

Definition of distance for nonlinear time series analysis of marked point process data

Physics Letters, Section A: General, Atomic and Solid State Physics, 2017
Koji Iwayama   +2 more
exaly  

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