J. E. Yukich
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Point process stabilization methods and dimension estimation
dmtcs:3556 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2008,
DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
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https://doi.org/10.46298/dmtcs.3556
Point process stabilization methods and dimension estimationArticle
Authors: J. E. Yukich 1
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J. E. Yukich
1 Department of Mathematics
We provide an overview of stabilization methods for point processes and apply these methods to deduce a central limit theorem for statistical estimators of dimension.
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: Dimension estimation,laws of large numbers,central limit theorems,stabilization,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
Funding:
Source : OpenAIRE Graph
Probabilistic Analysis of Large Complex Geometric Structures; Funder: National Science Foundation; Code: 0805570
Bibliographic References
3 Documents citing this article
Mathew D. Penrose;J. E. Yukich, 2013, Limit theory for point processes in manifolds, The Annals of applied probability/The annals of applied probability, 23, 6, 10.1214/12-aap897, https://doi.org/10.1214/12-aap897.
Joseph Yukich, Lecture notes in mathematics, Limit Theorems in Discrete Stochastic Geometry, pp. 239-275, 2012, 10.1007/978-3-642-33305-7_8.
A. Anandkumar;A. Swami;J.E. Yukich;Lang Tong, 2009, Energy scaling laws for distributed inference in random fusion networks, arXiv (Cornell University), 27, 7, pp. 1203-1217, 10.1109/jsac.2009.090916, https://arxiv.org/abs/0809.0686.