• Corpus ID: 235829899

Central limit theorem for a birth-growth model with Poisson arrivals and random growth speed

@inproceedings{Bhattacharjee2021CentralLT,
  title={Central limit theorem for a birth-growth model with Poisson arrivals and random growth speed},
  author={Chinmoy Bhattacharjee and Ilya S. Molchanov and Riccardo Turin},
  year={2021}
}
We consider Gaussian approximation in a variant of the classical Johnson–Mehl birth-growth model with random growth speed. Seeds appear randomly in R at random times and start growing instantaneously in all directions with a random speed. The location, birth time and growth speed of the seeds are given by a Poisson process. Under suitable conditions on the random growth speed and a weight function h : R → [0,∞), we provide sufficient conditions for a Gaussian convergence of the sum of the… 

Gaussian approximation for sums of region-stabilizing scores

The Gaussian approximation of number of minimal points in a homogeneous Poisson process in [0, 1] d with d ≥ 2, and provide a presumably optimal rate of convergence is considered.

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