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This tag is very ambiguous. Dispersion is a general term for how spread apart values are. For questions related to disease dissemination content, use the tag epidemiology. For other meanings of dispersion consider using a related tag or creating a new one.
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Tweedie Dispersion Parameter Estimation Methods
In the book Generalized Linear Models with Examples in R - Dunn and Smyth, in Chapter 6.8, it is recommended to use the Pearson estimator of the dispersion - "This makes the Pearson estimator the most … However, in the tweedie.profile () function from the tweedie package in R, it is not even given as an option for the dispersion estimation, rather the mean deviance and MLE are suggested (with MLE as default …