Subsidiary Sequences for Solving Leser’s Least-Squares Graduation Equations
求解Leser最小二乘平滑方程的辅助序列
SUMMARY Henderson’s method is applied to solve the equations which Leser uses for fitting a trend to a time series. In essence Henderson’s method depends on finding two quadratic factors for the symbolic expression 1+ϵ−1Δ4E−2. Two essentially different ways of factorizing this expression lead to two processes for fitting the trend, one of which is suitable when ε = 1 and the other when ϵ=13, 118 or 160. The methods are applied to an example considered by Leser for the cases…