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With the binomial distribution one can obtain a [[confidence interval]] of the prediction. Such an interval also estimates the risk of failure, i.e. the chance that the predicted event still remains outside the confidence interval. The confidence or risk analysis may include the [[return period]] ''T=1/Pe'' as is done in [[hydrology]].
[[File:CumList.png|thumb|left|List of probability distributions ranked by goodness of fit. <ref>Software for probability distribution fitting
[[File:GEVdistrHistogr+Density.png|thumb|220px|Histogram and probability density of a data set fitting the [[GEV distribution]] ]]
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