156 citations · 1.4k across the 61 of their papers we have counts for
25 papers · 1 filter
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…
A proof of the Shepp-Olkin entropy monotonicity conjecture
Erwan Hillion, Oliver Johnson
Consider tossing a collection of coins, each fair or biased towards heads, and take the distribution of the total number of heads that result. It is natural to conjecture that this…
An extremal property of the normal distribution, with a discrete analog
Erwan Hillion, Oliver Johnson, Adrien Saumard
We prove, using the Brascamp-Lieb inequality, that the Gaussian measure is the only strong log-concave measure having a strong log-concavity parameter equal to its covariance matri…
Relaxation of monotone coupling conditions: Poisson approximation and beyond
Fraser Daly, Oliver Johnson
It is well-known that assumptions of monotonicity in size-bias couplings may be used to prove simple, yet powerful, Poisson approximation results. Here we show how these assumption…
Thinning and Information Projections
Peter Harremoës, Oliver Johnson, Ioannis Kontoyiannis
In this paper we establish lower bounds on information divergence of a distribution on the integers from a Poisson distribution. These lower bounds are tight and in the cases where…
Entropy and thinning of discrete random variables
Oliver Johnson
We describe five types of results concerning information and concentration of discrete random variables, and relationships between them, motivated by their counterparts in the cont…