Specifically, we know that d ≥ τ , where d is the total duration of the pause (with d = ∞ at the end of a turn 1 ).
p (F |O t ) can be rewritten using Bayes rule as where p (F |O) is the probability that the user released the floor without any knowledge of the duration of the pause, and p (d ≥ τ |O) is the probability that the pause will last at least τ ms. We further decompose p (d ≥ τ |O) into 1 Note that this is an approximation since the user could start speaking again after releasing the floor to reestablish the channel (e.g.