TV over Bernoulli products: the small parameter regime

Ariel Avital, Aryeh Kontorovich, George Salafatinos

We study the total variation distance (TV) between two $n$-fold Bernoulli product measures parametrized by $\vec{p}=(p_1,\dots ,p_n)$ and $\vec{q}=(q_1,\dots ,q_n)$, respectively, in…