Gaussian limits for random measures in geometric probability

Yu Baryshnikov, J. E. Yukich

研究成果: Contribution to journalArticle査読

52 被引用数 (Scopus)

抄録

We establish Gaussian limits for general measures induced by binomial and Poisson point processes in d-dimensional space. The limiting Gaussian field has a covariance functional which depends on the density of the point process. The general results are used to deduce central limit theorems for measures induced by random graphs (nearest neighbor, Voronoi and sphere of influence graph), random sequential packing models (ballistic deposition and spatial birth-growth models) and statistics of germ-grain models.

本文言語英語
ページ(範囲)213-253
ページ数41
ジャーナルAnnals of Applied Probability
15
1 A
DOI
出版ステータス出版済み - 2 1 2005
外部発表はい

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • 統計学、確率および不確実性

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