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math.PR2022★ 1 cited
On Stein's method for stochastically monotone single-birth chains
Fraser Daly
We discuss Stein's method for approximation by the stationary distribution of a single-birth Markov chain, in conjunction with stochastic monotonicity and similar assumptions. We u…
math.PR2022★ 1 cited
A negative binomial approximation in group testing
Letian Yu, Fraser Daly, Oliver Johnson
We consider the problem of group testing (pooled testing), first introduced by Dorfman. For non-adaptive testing strategies, we refer to a non-defective item as `intruding' if it o…