The deviation from Poisson statistics in PET data could be described by the Conway-Maxwell-Poisson (CMP) distribution model, which is characterized by the centring parameter 2 and the dispersion parameter nu, the latter quantifying the deviation from a Poisson distribution model. In particular, the parameter nu allows quantifying over-dispersion (nu < 1) or under-dispersion (nu > 1) of data. A simple and efficient method for lambda and nu parameters estimation is introduced and assessed using Monte Carlo simulation for a wide range of activity values.

A Conway-Maxwell-Poisson (CMP) model to address data dispersion on positron emission tomography

Santarelli Maria Filomena;Landini Luigi
2016

Abstract

The deviation from Poisson statistics in PET data could be described by the Conway-Maxwell-Poisson (CMP) distribution model, which is characterized by the centring parameter 2 and the dispersion parameter nu, the latter quantifying the deviation from a Poisson distribution model. In particular, the parameter nu allows quantifying over-dispersion (nu < 1) or under-dispersion (nu > 1) of data. A simple and efficient method for lambda and nu parameters estimation is introduced and assessed using Monte Carlo simulation for a wide range of activity values.
2016
Istituto di Fisiologia Clinica - IFC
Positron emission tomography (PET)
Conway-Maxwell-Poisson (CMP) distribution
Maximum likelihood (ML) estimation
Sinograms
Poisson statistic deviation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/410288
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