Function‐Valued Marked Spatial Point Processes on Linear Networks: Application to Urban Cycling Profiles
ABSTRACT In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct points of view, propose several mark summary chara...
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| Published in | Stat (International Statistical Institute) Vol. 13; no. 4 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
01.12.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2049-1573 2049-1573 |
| DOI | 10.1002/sta4.70013 |
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| Abstract | ABSTRACT
In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct points of view, propose several mark summary characteristics that are of great use in studying the average association and dispersion of the function‐valued marks. Through a simulation study, we evaluate the performance of our proposed mark summary characteristics, both when marks are independent and when some sort of spatial dependence is evident among them. Finally, we employ our proposed mark summary characteristics to study the spatial structure of urban cycling profiles in Vancouver, Canada. |
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| AbstractList | ABSTRACT
In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct points of view, propose several mark summary characteristics that are of great use in studying the average association and dispersion of the function‐valued marks. Through a simulation study, we evaluate the performance of our proposed mark summary characteristics, both when marks are independent and when some sort of spatial dependence is evident among them. Finally, we employ our proposed mark summary characteristics to study the spatial structure of urban cycling profiles in Vancouver, Canada. |
| Author | Moradi, Mehdi Mateu, Jorge Eckardt, Matthias |
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In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by... |
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| SubjectTerms | bike‐sharing data mark correlation function mark variogram object‐valued marks Shimantani's i function spatial point processes |
| Title | Function‐Valued Marked Spatial Point Processes on Linear Networks: Application to Urban Cycling Profiles |
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