TY - GEN
T1 - Asymptotics of superposition of point processes
AU - Decreusefond, L.
AU - Vasseur, A.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - The characteristic independence property of Poisson point processes gives an intuitive way to explain why a sequence of point processes becoming less and less repulsive can converge to a Poisson point process. The aim of this paper is to show this convergence for sequences built by superposing, thinning or rescaling determinantal processes. We use Papangelou intensities and Stein’s method to prove this result with a topology based on total variation distance.
AB - The characteristic independence property of Poisson point processes gives an intuitive way to explain why a sequence of point processes becoming less and less repulsive can converge to a Poisson point process. The aim of this paper is to show this convergence for sequences built by superposing, thinning or rescaling determinantal processes. We use Papangelou intensities and Stein’s method to prove this result with a topology based on total variation distance.
KW - Ginibre point process
KW - Poisson point process
KW - Stein’s method
KW - Stochastic geometry
KW - β-Ginibre point process
UR - https://www.scopus.com/pages/publications/84950336626
U2 - 10.1007/978-3-319-25040-3_21
DO - 10.1007/978-3-319-25040-3_21
M3 - Conference contribution
AN - SCOPUS:84950336626
SN - 9783319250397
SN - 9783319250397
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 187
EP - 194
BT - Geometric Science of Information - 2nd International Conference, GSI 2015, Proceedings
A2 - Nielsen, Frank
A2 - Nielsen, Frank
A2 - Nielsen, Frank
A2 - Barbaresco, Frederic
A2 - Barbaresco, Frederic
A2 - Nielsen, Frank
PB - Springer Verlag
T2 - 2nd International Conference on Geometric Science of Information, GSI 2015
Y2 - 28 October 2015 through 30 October 2015
ER -