In this first paper in a set of two, the problem of estimating missing segm
ents in streamflow records is described. The group approach, different from
the traditional single-valued approach, is proposed and explained. The app
roach perceives the hydrological data as sequence of groups rather than sin
gle-valued observations. The techniques suggested to handle the group appro
ach are regression, time series analysis, partitioning modelling, and artif
icial neural networks. Pertinent literature is reviewed and background mate
rial is used to support the group approach. Implementation and comparisons
of models' performance are deferred to the second paper.