Brett Reynolds

Variance and local log-concavity of Poisson–binomial laws

Let W be the number of successes in independent trials with unequal success probabilities, with probability mass function f and variance V ≥ 1, and let D be the first index at which f decreases. The normalized Turán deficit δ_k = 1 − f_{k−1}f_{k+1}/f_k², a measure of local log-co...

Variance and local log-concavity of Poisson–binomial laws

Let W be the number of successes in independent trials with unequal success probabilities, with probability mass function f and variance V ≥ 1, and let D be the first index at which f decreases. The normalized Turán deficit δ_k = 1 − f_{k−1}f_{k+1}/f_k², a measure of local log-co...