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    “Stationary” point processes are uncommon on linear networks

    Access Status
    Fulltext not available
    Authors
    Baddeley, Adrian
    Nair, G.
    Rakshit, Suman
    McSwiggan, G.
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Baddeley, A. and Nair, G. and Rakshit, S. and McSwiggan, G. 2017. “Stationary” point processes are uncommon on linear networks. Stat. 6 (1): pp. 68-78.
    Source Title
    Stat
    DOI
    10.1002/sta4.135
    ISSN
    2049-1573
    School
    Department of Mathematics and Statistics
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP130102322
    URI
    http://hdl.handle.net/20.500.11937/52519
    Collection
    • Curtin Research Publications
    Abstract

    Statistical methodology for analysing patterns of points on a network of lines, such as road traffic accident locations, often assumes that the underlying point process is “stationary” or “correlation-stationary.” However, such processes appear to be rare. In this paper, popular procedures for constructing a point process are adapted to linear networks: many of the resulting models are no longer stationary when distance is measured by the shortest path in the network. This undermines the rationale for popular statistical methods such as the K-function and pair correlation function. Alternative strategies are proposed, such as replacing the shortest-path distance by another metric on the network. Copyright © 2017 John Wiley & Sons, Ltd.

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