One of the difficulties experienced in applications of exponential predicti
on models of time series is resolved by introducing sequence operators. Thi
s approach is different from all known modelings of time series and regress
ion analysis. Also, discontinuities (or outliers), appearing in a given tim
e series, can be naturally absorbed by applying sequence operators. This en
d is important since, in terms of predictions, outliers or discontinuities
in the data might signal major changes in the pattern of the time series da
ta.