Mathematics and Statistics Vol. 1(2), pp. 53 - 58
DOI: 10.13189/ms.2013.010207
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0-event: Point and Interval Estimates

Sergey Gurov*
Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia


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.

Mathematical statistics, Point Estimator, 0-event, Interval Estimator, Consistency Principle, Small Sample

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Sergey Gurov , "0-event: Point and Interval Estimates," Mathematics and Statistics, Vol. 1, No. 2, pp. 53 - 58, 2013. DOI: 10.13189/ms.2013.010207.

(b). APA Format:
Sergey Gurov (2013). 0-event: Point and Interval Estimates. Mathematics and Statistics, 1(2), 53 - 58. DOI: 10.13189/ms.2013.010207.