Statistical Analysis of the Distribution of Points on a Network

By Atsuyuki Okabe, Hidehiko Yomono, Masayuki Kitamura. 2010

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A kernel density estimation method for networks, its computational method and a GIS‐based tool (2009, methodology): “…methods for spatial analysis on networks are far behind these advances, although some initial studies are found in the literature (Miller, 1994; Okabe et al., 1995; Okabe and Yamada, 2001; Spooner et al., 2004; Decker, 2005; Yamada and Thill, 2004; Lu and Chen, 2006; Xu and Sui, 2007; Yamada…”
Kernel Density Estimation of traffic accidents in a network space (2008, background): “In particular, increased attentions are recently paid to the applications of standard spatial statistical methods in analyzing spatial point events in a network space (Okabe et al., 1995; Okunuki & Okabe, 1998; Okabe & Yamada, 2001; Yamada & Thill, 2004; Lu & Chen, 2007; Yamada & Thill, 2007).”
Geometrically Corrected Second Order Analysis of Events on a Linear Network, with Applications to Ecology and Criminology (2012, background): “In the last decade, substantial research effort has been addressed to this problem by Prof. A. Okabe and collaborators (Okabe et al., 1995, 2000, 2006a,b, 2008, 2009; Okabe & Yamada, 2001; Okabe & Satoh, 2006; Yamada & Thill, 2007; Shiode, 2008; Warden, 2008; Shiode & Shiode, 2009).”