Stein-rules are used in forming combination forecasts. Such forecasts
have smaller prediction risk, under certain conditions, than the prefe
rred method of average of forecasts. The new composite forecasts will
be theoretically biased, but are likely to have smaller mean squared e
rror of forecasts as shown in the empirical excercises examined. When
the forecasts appear to be unbiased and have a common mean, Lindley-ty
pe combination is most useful.