A generalized view on continuum regression

We generalize the relationship between continuum regression (Stone & Brooks , 1990) and ridge regression, by showing that any optimization principle wi ll yield a regressor proportional to a ridge regressor, provided only that the principle implies maximizing a function of the regressor's sample corre lation coefficient and its sample variance, This relationship shows that co ntinuum regression as defined via ridge regression ("least squares ridge re gression") is a more generally valid methodology than previously realized, and also opens up for alternative choices of its second and subsequent fact ors.