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Keywords: Voronoi tessellation
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Journal Article
Identification and Estimation of Preference Distributions When Voters Are Ideological
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Antonio Merlo and Áureo de Paula
The Review of Economic Studies, Volume 84, Issue 3, July 2017, Pages 1238–1263, https://doi.org/10.1093/restud/rdw046
Published: 14 September 2016
... distributions and other parameters of interest can be identified from aggregate electoral data. We also show that these objects can be consistently estimated and illustrate our analysis by performing an actual estimation using data from the 1999 European Parliament elections. Voting Voronoi tessellation...
Journal Article
Inference of a Hidden Spatial Tessellation from Multivariate Data: Application to the Delineation of Homogeneous Regions in an Agricultural Field
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Gilles Guillot and others
Journal of the Royal Statistical Society Series C: Applied Statistics, Volume 55, Issue 3, May 2006, Pages 407–430, https://doi.org/10.1111/j.1467-9876.2006.00544.x
Published: 06 April 2006
... subdomains: (a), (b) tessellation obtained after union of tiles with the same colour; (c), (d) realization of a Poisson point process and Voronoi tessellation Realizations of such random tessellations are presented at Figs 5(a) and 5(b) with two different values of λ. As λ essentially...
Journal Article
Bayesian Partitioning for Estimating Disease Risk
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D. G. T. Denison and C. C. Holmes
in
Biometrics
Biometrics, Volume 57, Issue 1, March 2001, Pages 143–149, https://doi.org/10.1111/j.0006-341X.2001.00143.x
Published: 24 May 2004
... and the surrounding location. KEYWORDS: Bayesian computation; Leukemia incidence data; Markov chain Monte Carlo (MCMC); Point source; Spatial count data; Voronoi tessellation. 1. Introduction The analysis of spatial data is of importance to researchers in many fields, including environmental engineering, ecology...
Journal Article
Bayesian Inference for a Random Tessellation Process
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P. G. Blackwell
in
Biometrics
Biometrics, Volume 57, Issue 2, June 2001, Pages 502–507, https://doi.org/10.1111/j.0006-341X.2001.00502.x
Published: 21 May 2004
... Carlo Metropolis–Hastings algorithm Polygon decomposition Tessellation reconstruction Thiessen polygon Voronoi tessellation References Blackwell , P. G. and Macdonald , D. W. ( 2000 ). Shapes and sizes of badger territories . Oikos 89 , 329 – 398 . Covich , A. P...
Journal Article
Modelling Spatial Intensity for Replicated Inhomogeneous Point Patterns in Brain Imaging
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C. G. Wager and others
Journal of the Royal Statistical Society Series B: Statistical Methodology, Volume 66, Issue 2, May 2004, Pages 429–446, https://doi.org/10.1046/j.1369-7412.2003.05285.x
Published: 14 April 2004
...C. G. Wager; B. A. Coull; N. Lange 1 l ( λ ∣ x 1 , … , x N , A ) = ∫ A { 1 − λ ( s ) } d s + ∑ i = 1 N log { λ ( x i ) } , Fig. 3 Voronoi tessellation for the augmented rat thalamus pattern (•, events...
Journal Article
Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
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PETER J. GREEN
in
Biometrika
Biometrika, Volume 82, Issue 4, December 1995, Pages 711–732, https://doi.org/10.1093/biomet/82.4.711
Published: 01 December 1995
... words: Change-point analysis; Image segmentation; Jump diffusion; Markov chain Monte Carlo;
Multiple binomial experiments; Multiple shrinkage; Step function; Voronoi tessellation.
1. INTRODUCTION
There are a number of challenging statistical problems, often involving...
Chapter
Conclusion
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Martin Peterson
Published: 18 May 2017
..., the scope of each principle can be defined as the Voronoi tessellation of all cases that are more similar to a paradigm case for the principle in question than to a paradigm case for any other principle. A paradigm case is either a case we know ex-ante to be (one of) the most typical cases to which...
Chapter
The Geometry of Applied Ethics
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Martin Peterson
Published: 18 May 2017
... tessellations of paradigm cases. A Voronoi tessellation divides space into a number of regions such that each region consists of all cases that are closer to a predetermined seed point (paradigm case) than to any other seed point for another principle. The distance between two cases reflects their degree...
Chapter
Experimental Data
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Martin Peterson
Published: 18 May 2017
... Benefit Principle ex ante approach to identification of paradigm cases ex post approach to identification of paradigm cases paradigm cases Voronoi tessellations Precautionary Principle Kruskal’s stress test Autonomy Principle distances Fairness Principle moral space Sustainability Principle...
Chapter
5 Tessellations
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Pierre Calka
Published: 26 November 2009
... of these objects was initiated in the second half of the twentieth century by D. G. Kendall, J. L. Meijering, E. N. Gilbert and R. E. Miles, notably. Two isotropic and stationary models have emerged as the most basic and useful: the Poisson hyperplane tessellation and the Poisson–Voronoi tessellation. Since...
Chapter
The Fairness Principle
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Martin Peterson
Published: 18 May 2017
... second study Sustainability Principle Gärdenfors Peter fairness equal opportunities egalitarianism libertarianism rights paradigm case Voronoi tessellation experimental philosophy Numerous engineering projects and technologies have contributed to making the world on the whole a much fairer...
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