Improving Ratio Estimators of Second Order Point Process Characteristics
By Dietrich Stoyan, H. Stoyan. 2000
98 citations recorded by the source corpus.
Subfields: Applied Mathematics, Artificial Intelligence, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/58f82c629cb2c8f0b467cff5b77d8a05b98e343d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Rasmus Waagepetersen
- Jesper Møller
- Frederic Paik Schoenberg
- Carlos Díaz-Avalos
- Adrian Baddeley
- Yongtao Guan
- Alejandro Veen
- Ute Hahn
In Artificial Intelligence
- Rasmus Waagepetersen
- Carlos Díaz-Avalos
- Jesper Møller
- Adrian Baddeley
- Frederic Paik Schoenberg
- Alejandro Veen
- Ute Hahn
- Edith Gabriel
In Geometry and Topology
- Frederic Paik Schoenberg
- Jesper Møller
- Rasmus Waagepetersen
- Adrian Baddeley
- Ute Hahn
- Carlos Díaz-Avalos
- Gopalan M. Nair
- Alejandro Veen
Citations in the corpus
- Geometrically Corrected Second Order Analysis of Events on a Linear Network, with Applications to Ecology and Criminology (2012, background): “Relevant arguments are made by Stoyan & Stoyan (2000).”
- Modern Statistics for Spatial Point Processes * (2007, background): “Kernel estimation of g is discussed in Stoyan & Stoyan (2000).”
- Assessing Spatial Point Process Models Using Weighted K-functions: Analysis of California Earthquakes (2006, methodology): “As is pointed out in [28], it is crucial to use an estimate of λ or λ2 rather than their true values, even if they are known.”
- Structured Spatio‐Temporal Shot‐Noise Cox Point Process Models, with a View to Modelling Forest Fires (2010, methodology): “This assumption will be satisfied for the parametric model of X introduced later, it simplifies the exposition in the sequel, and it is convenient for non-parametric estimation of the pair correlation function based on kernel estimation (Stoyan and Stoyan, 2000; Diggle et al., 2005).”
- A Studentized Permutation Test for the Comparison of Spatial Point Patterns (2012, background): “gif"/> introduces a bias, but it also reduces the estimation variance, as discussed in detail by Stoyan and Stoyan ( 2000 ).”
- Point process diagnostics based on weighted second-order statistics and their asymptotic properties (2009, unknown): “Stoyan and Stoyan (2000) used λ̃2 = n(n−1) (A)2 as an estimator of the squared intensity function, and then: K̃ (δ) = 2 (A) n(n − 1) n∑ i n∑ j>i I (|Xi − X j | ≤ δ).”