Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

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.

Keywords

Central limit theorem, Johnson-Mehl tessellation, m-dependent

Publication Date

12-2001

Source Publication Title

Advances in Applied Probability

Volume

33

Issue

4

Start Page

751

End Page

755

Publisher

Applied Probability Trust

Peer Reviewed

1

Copyright

© Applied Probability Trust 2001

Funder

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.

DOI

10.1017/S0001867800011162

ISSN (print)

00018678

ISSN (electronic)

14756064

Included in

Mathematics Commons

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