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Central limit theorem for germination-growth models in ℝd with non-Poisson locations
Published online by Cambridge University Press: 01 July 2016
Abstract
Seeds are randomly scattered in ℝd according to an m-dependent point process. Each seed has its own potential germination time. From each seed that succeeds in germinating, a spherical inhibited region grows to prohibit germination of any seed with later potential germination time. We show that under certain conditions on the distribution of the potential germination time, the number of germinated seeds in a large region has an asymptotic normal distribution.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
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- Copyright
- Copyright © Applied Probability Trust 2001
Footnotes
Research supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKBU/2075/98P) and an Australian Research Council grant.
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