arXiv Open Access 2025

The law of thin processes: a law of large numbers for point processes

Matthew Aldridge
Lihat Sumber

Abstrak

If you take a superposition of n IID copies of a point process and thin that by a factor of 1/n, then the resulting process tends to a Poisson point process as n tends to infinity. We give a simple proof of this result that highlights its similarity to the law of large numbers and to the law of thin numbers of Harremoës et al.

Topik & Kata Kunci

Penulis (1)

M

Matthew Aldridge

Format Sitasi

Aldridge, M. (2025). The law of thin processes: a law of large numbers for point processes. https://arxiv.org/abs/2502.14839

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓