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math.PR2024
Exponential tilting of subweibull distributions
F. William Townes
The class of subweibull distributions has recently been shown to generalize the important properties of subexponential and subgaussian random variables. We describe alternative cha…
math.PR2024
Mixed Poisson families with real-valued mixing distributions
F. William Townes
Mixed Poisson distributions provide a flexible approach to the analysis of count data with overdispersion, zero inflation, or heavy tails. Since the Poisson mean must be nonnegativ…