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math.PR2023
A Sequence of Nested Exponential Random Variables with Connections to Two Constants of Euler
Michael R. Powers
We investigate a recursively generated sequence of random variables that begins with an Exponential random variable with parameter (i.e., inverse-mean) 1, and continues with additi…
math.PR2020
Characterizing the Zeta Distribution via Continuous Mixtures
Jiansheng Dai, Ziheng Huang, Michael R. Powers +1
We offer two novel characterizations of the Zeta distribution: first, as tractable continuous mixtures of Negative Binomial distributions (with fixed shape parameter, r > 0), and s…