The Estimation of Standard Error from Successive Finite Differences
利用连续有限差分估计标准误
Summary Finite differences have been used to estimate random error in time series, the process being referred to as the variate-difference method (Kendall, 1948; Tintner, 1940). In this note an examination is made of the relative efficiencies of the various estimates of standard error obtained from mean differences and mean square differences (assuming a normal law), and to apply the results to the estimation of the standard error in the fitting of polynomials by means of…