Results 41 to 50 of about 400,590 (330)
The radial spanning tree of a Poisson point process
, 2007 We analyze a class of spatial random spanning trees built on a realization of a homogeneous Poisson point process of the plane. This tree has a simple radial structure with the origin as its root.
Baccelli, Francois, Bordenave, Charles
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The Cauchy–Schwarz Divergence for Poisson Point Processes [PDF]
IEEE Transactions on Information Theory, 2014 In this paper, we extend the notion of Cauchy-Schwarz divergence to point processes and establish that the Cauchy-Schwarz divergence between the probability densities of two Poisson point processes is half the squared $\mathbf{L^{2}}$-distance between their intensity functions. Extension of this result to mixtures of Poisson point processes and, in the
Hung Gia Hoang +3 more
openaire +3 more sources
A New Stochastic Geometry Model of Coexistence of Wireless Body Sensor Networks
MATEC Web of Conferences, 2017 Stochastic geometry, in particular Poission point process theory, has been widely used in the last decade to provide models and methods to analyze wireless networks.
Yang Ming +4 more
doaj +1 more source
IEEE Journal of Translational Engineering in Health and Medicine, 2016 In evaluation of cell viability and apoptosis, spatial heterogeneity is quantified for cancerous cells cultured in 3-D in vitro cell-based assays under the impact of anti-cancer agents.
Aydin Saribudak +3 more
doaj +1 more source
Detection of spatial pattern through independence of thinned processes
, 2001 Let N, N' and N'' be point processes such that N' is obtained from N by homogeneous independent thinning and N''= N- N'. We give a new elementary proof that N' and N'' are independent if and only if N is a Poisson point process.
Assuncao, Renato M., Ferrari, Pablo A.
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Stein estimation of the intensity of a spatial homogeneous Poisson point process [PDF]
, 2015 In this paper, we revisit the original ideas of Stein and propose an estimator of the intensity parameter of a homogeneous Poisson point process defined in $\R^d$ and observed in a bounded window.
Clausel, Marianne +2 more
core +6 more sources
Stein's method, Palm theory and Poisson process approximation
, 2004 The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence.
Chen, Louis H. Y., Xia, Aihua
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LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Poisson process approximation: From Palm theory to Stein's method
, 2006 This exposition explains the basic ideas of Stein's method for Poisson random variable approximation and Poisson process approximation from the point of view of the immigration-death process and Palm theory.
Chen, Louis H. Y., Xia, Aihua
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On high-frequency limits of $U$-statistics in Besov spaces over compact manifolds [PDF]
, 2016 In this paper, quantitative bounds in high-frequency central limit theorems are derived for Poisson based $U$-statistics of arbitrary degree built by means of wavelet coefficients over compact Riemannian manifolds. The wavelets considered here are the so-
Bourguin, Solesne, Durastanti, Claudio
core +2 more sources