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Original paper: We revisit the probability that any two consecutive events ina Poisson process N on [0,t] are separated by a time interval which is greaterthan s(<t) (a particular scan statistic probability), and the closely relatedprobability (recently introduced by Todinov [8], who denotes it as p_MFFOP)that before any event of N in [0,t] there exists an event-free interval greaterthan s. Both probabilities admit simple explicit expressions, which, however,become intractable for very large values of t/s. Our main objective is todemonstrate that these probabilities can be approximated extremely well forlarge values of t/s by some very tractable and attractive expressions(actually, already for t larger than a few multiples of s).  Erratum/Addendum: In this addendum, we further discuss numerical issuesconcerning the computation of the probability denoted \phi(s,t;\lambda) in theoriginal paper. In particular, and most importantly, we correct the naive claimmade in the abstract of the original paper that the explicit expression of\phi(s,t;\lambda) becomes intractable for very large values of t/s; rather, weshow that it may not be applicable for large values of \lambda*t.

On probabilities associated with the minimum distance between events of a Poisson process in a finite interval, and Erratum/Addendum to it