Poisson point processes with detection and rest

Yicheng Hong, Chaehun Lee, Sungchul Lee, Hyungsoo Kim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Using the Poisson point process we model how the SiPM works and derive the non-linear response formula of the SiPM. Using this non-linear response formula we are able to capture the mean and variance saturation phenomena near the infinity and the linear behavior of the mean and variance near 0.We also introduce a different model of the SiPM. Under this different model we show the mean and variance saturation phenomena near the infinity and the linear behavior of the mean and variance near 0. We provide some open problems on this different model.

Original languageEnglish
Pages (from-to)1805-1811
Number of pages7
JournalStatistics and Probability Letters
Volume83
Issue number7
DOIs
Publication statusPublished - 2013 Jul 1

Fingerprint

Poisson Point Process
Nonlinear Response
Saturation
Infinity
Process Model
Open Problems
Model
Point process

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Hong, Yicheng ; Lee, Chaehun ; Lee, Sungchul ; Kim, Hyungsoo. / Poisson point processes with detection and rest. In: Statistics and Probability Letters. 2013 ; Vol. 83, No. 7. pp. 1805-1811.
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Poisson point processes with detection and rest. / Hong, Yicheng; Lee, Chaehun; Lee, Sungchul; Kim, Hyungsoo.

In: Statistics and Probability Letters, Vol. 83, No. 7, 01.07.2013, p. 1805-1811.

Research output: Contribution to journalArticle

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