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math.CO2018
Some Double Sums Involving Ratios of Binomial Coefficients Arising From Urn Models
David Stenlund, James G. Wan
In this paper we discuss a class of double sums involving ratios of binomial coefficients. The sums are of the form \[ \sum_{j=0}^{n} \sum_{i=0}^j \frac{\binom{f_1(n)}{i}}{\binom{f…
math.PR2018
On the Mabinogion urn model
David Stenlund
In this paper we discuss the Mabinogion urn model introduced by D. Williams in Probability with Martingales (1991). Therein he describes an optimal control problem where the object…