Annual cumulative distributions of attenuation measurements and of rai
n-rate measurements were obtained from several locations in Europe and
the United States. They were analyzed to estimate the year-to-year va
riability to be associated with a prediction of the expected cumulativ
e distribution. Two models were constructed to estimate variability, a
n ad hoc model that summarized a number of observations when compared
to model predictions and a probabilistic model that applied the ideas
of order statistics to the prediction problem when the number of indep
endent attenuation or rain-rate events in a sample year could be estim
ated. Based on these models, the statistical uncertainty in a model pr
ediction may be estimated. The estimation procedure also provides an a
nswer to the question of the number of years of observation needed to
provide an estimate of the empirical distribution with a specified sta
tistical uncertainty.