3 papers
stat.ME2025
The Zeta Tail Distribution: A Novel Event-Count Model
Michael R. Powers
We introduce the Zeta Tail probability distribution as a new model for random damage-event counts in risk analysis. Although a natural analogue of the Geometric$\le…
math.NT2025
Conjunctions of Three "Euler Constants" in Poisson-Related Expressions
Michael R. Powers
Three mathematical constants bear the name of the venerable Leonhard Euler: Euler's number, ; the Euler-Mascheroni constant, ; and the Euler-Gom…
stat.ME2022
Heavy-Tailed Loss Frequencies from Mixtures of Negative Binomial and Poisson Counts
Jiansheng Dai, Ziheng Huang, Michael R. Powers +1
Heavy-tailed random variables have been used in insurance research to model both loss frequencies and loss severities, with substantially more emphasis on the latter. In the presen…