3 citations · 3 across the 4 of their papers we have counts for
4 papers
Broadly discrete stable distributions
F. William Townes
Stable distributions are of fundamental importance in probability theory, yet their absolute continuity makes them unsuitable for modeling count data. A discrete analog of strict s…
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…
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…
Generalized Principal Component Analysis
F. William Townes
Generalized principal component analysis (GLM-PCA) facilitates dimension reduction of non-normally distributed data. We provide a detailed derivation of GLM-PCA with a focus on opt…