### Abstract

The Fano factor for an integer-valued random variable is defined as the ratio of its variance to its mean. Light from various scintillation crystals has been reported to have Fano factors from sub-Poisson (Fano factor < 1), Poisson (Fano factor = 1) to super-Poisson (Fano factor > 1). For a given mean, a smaller Fano factor implies a smaller variance and thus less noise. We investigate if lower noise in the scintillation light results in better spatial and energy resolution in a scintillation imaging detector. The impact of Fano factor on estimation of position of interaction and energy deposited in simple gamma-camera geometries is estimated by calculating the Cramér-Rao bound. The calculated Cramér-Rao bound is quantitatively validated by estimating the variance of the maximum likelihood estimator.

Original language | English (US) |
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Title of host publication | Penetrating Radiation Systems and Applications XIV |

DOIs | |

State | Published - 2013 |

Event | Penetrating Radiation Systems and Applications XIV - San Diego, CA, United States Duration: Aug 28 2013 → Aug 28 2013 |

### Publication series

Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 8854 |

ISSN (Print) | 0277-786X |

ISSN (Electronic) | 1996-756X |

### Other

Other | Penetrating Radiation Systems and Applications XIV |
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Country | United States |

City | San Diego, CA |

Period | 8/28/13 → 8/28/13 |

### Keywords

- Energy Estimation
- Fano factor
- Position Estimation
- Scintillators

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

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## Cite this

*Penetrating Radiation Systems and Applications XIV*[885405] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 8854). https://doi.org/10.1117/12.2033642