Brown’s updating equations, developed from discounted least squares, for the case of a trend model are actually given by aˆt = xt + (1 − α)

2(aˆt−1 + ˆ

bt−1 − xt)

and ˆ

bt = ˆ

bt−1 − α2(aˆt−1 + ˆ

bt−1 − xt)

Show that these two equations are equivalent to Equations 3.32 and 3.33.