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Stationary Marked Point Processes
1987A 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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On the local odds ratio between points and marks in marked point processes
Spatial Statistics, 2014Abstract Marked point processes are widely used stochastic models for representing a finite number of natural hazard events located in space and time and their data often associate event measurements (i.e. marks) with event locations (i.e. points). An interesting statistical problem of marked point processes is to measure and estimate the localized ...
Tonglin Zhang, Qianlai Zhuang
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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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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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Subsampling Marked Point Processes
1999In 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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Short rate analysis and marked point processes
Mathematical Methods of Operations Research (ZOR), 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elliott, R., Tsoi, A., Lui, S.
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Tomographic Reconstruction of 3D Objects Using Marked Point Process Framework
Journal of Mathematical Imaging and Vision, 2018R. Ben Salah +4 more
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A marked point process model for intraday financial returns: modeling extreme risk
Empirical Economics, 2018R. Herrera, A. Clements
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