Central limit theorem for germination-growth models in Rd with non-Poisson locations

Sung Nok CHIU*, M. P. Quine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)751-755
Number of pages5
JournalAdvances in Applied Probability
Volume33
Issue number4
DOIs
Publication statusPublished - Dec 2001

Scopus Subject Areas

  • Statistics and Probability
  • Applied Mathematics

User-Defined Keywords

  • Central limit theorem
  • Johnson-Mehl tessellation
  • M-dependent

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