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  1. Home > Articles & Issues >
  2. Articles >
  3. Point process stabil ...
Conference paper

Point process stabilization methods and dimension estimation

J. E. Yukich (1)
(1) Department of Mathematics
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Imported on
May 10, 2017
Published on
December 31, 2007
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Proceedings
DOI
10.46298/dmtcs.3556
License
https://about.hal.science/hal-authorisation-v1
National Science Foundation
0805570
Probabilistic Analysis of Large Complex Geometric Structures
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557
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711
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Point process stabilization methods and dimension estimation

J. E. Yukich (1)
(1) Department of Mathematics
Abstract
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.
Keywords
  • [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]
  • Dimension estimation
  • laws of large numbers
  • central limit theorems
  • stabilization
Cited by

Source: OpenCitations

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    DOI : 10.1007/978-3-642-33305-7_8

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    arXiv (Cornell University)

    Authors : A. Anandkumar, A. Swami ORCID, J.E. Yukich ORCID, Lang Tong ORCID

    Journal reference : Volume 27, 2009, pp. 1203-1217

    DOI : 10.1109/jsac.2009.090916

  • Limit theory for point processes in manifolds

    The Annals of Applied Probability

    Authors : Mathew D. Penrose, J. E. Yukich

    Journal reference : Volume 23, 2013, pp.

    DOI : 10.1214/12-aap897
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