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On the Minimal Condition of Weak Dependency in the Central Limit Theorem for Stationary Sequences

✍ Scribed by Grin', A. G.

Book ID: 118226042
Publisher: Society for Industrial and Applied Mathematics
Year: 2003
Tongue: English
Weight: 104 KB
Volume: 47
Category: Article
ISSN: 0040-585X
DOI: 10.1137/s0040585x97979925

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## Abstract Stochastic geometry models based on a stationary Poisson point process of compact subsets of the Euclidean space are examined. Random measures on ℝ^__d__^, derived from these processes using Hausdorff and projection measures are studied. The central limit theorem is formulated in a way