Department of Mathematics
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.
Central limit theorem, Johnson-Mehl tessellation, m-dependent
Source Publication Title
Advances in Applied Probability
Applied Probability Trust
© Applied Probability Trust 2001
Research supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKBUI/2075/98P) and an Australian Research Council grant.
Link to Publisher's Edition
Chiu, S., & Quine, M. (2001). Central limit theorem for germination-growth models in Rd with non-Poisson locations. Advances in Applied Probability, 33 (4), 751-755. https://doi.org/10.1017/S0001867800011162