Some limit theorems for the homogeneous Poisson process
✍ Scribed by P. Auer; K. Hornik; P. Révész
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 397 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
## Abstract We study the limiting behaviour of suitably normalized union shot‐noise processes magnified image, where __F__ is a set‐valued function on R^__d__^ × ℳ︁ is a sequence of i.i.d. random elements on some measurable space [ℳ︁ 𝔐] and Ψ = {x~i~, i≥ 1} stands for a stationary __d__‐dimensional