0-event: Point and Interval Estimates

摘要

Point and interval probability estimates for an event that has never been observed in a Bernoulli trial series (0-event) are proposed and validated. In this case, the classical statistical methods yield a zero point estimate, which is often unacceptable in practice. Nonzero point and interval probability estimates for a 0-event are proposed and validated. A classification of samples by size for the case of a 0-event is proposed.