SABL: A Resistant Seasonal Adjustment Procedure with Graphical Methods for Interpretation and Diagnosis

SABL (Seasonal Adjustment-Bell Laboratories) is a new seasonal adjustment procedure for monthly time series with a yearly penodicity. From a class of transformations of the data, SABL selects the one that minimizes the lack of stability of the seasonal component. It then decomposes the transformed time series into additive trend, seasonal, and irregular components using resistantsmoothing techniques. The smoothers consist of an initial resistant smooth using moving medians, followed by one or more linear smooths. Graphical displays are provided as diagnostic tools in assessing the nature and adequacy of the decomposition into trend, seasonal, and irregular components.

[1]  F. J. Anscombe,et al.  The Examination and Analysis of Residuals , 1963 .

[2]  D. F. Andrews,et al.  A Robust Method for Multiple Linear Regression , 1974 .

[3]  M. Nerlove,et al.  Some properties of "optimal" seasonal adjustment , 1970 .

[4]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[5]  R. K. Mehra,et al.  Identification of stochastic linear dynamic systems using Kalman filter representation , 1971 .

[6]  Christopher A. Sims,et al.  Seasonality in Regression , 1974 .

[7]  Dale W. Jorgenson,et al.  Minimum Variance, Linear, Unbiased Seasonal Adjustment of Economic Time Series , 1964 .

[8]  C. Chatfield,et al.  Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  M. Nerlove SPECTRAL ANALYSIS OF SEASONAL ADJUSTMENT PROCEDURES , 1964 .

[10]  B Julesz,et al.  Experiments in the visual perception of texture. , 1975, Scientific American.

[11]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[12]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[13]  G. C. Tiao,et al.  Decomposition of Seasonal Time Series: A Model for the Census X-11 Program , 1976 .

[14]  Harry M. Rosenblatt,et al.  Spectral Evaluation of BLS and Census Revised Seasonal Adjustment Procedures , 1968 .

[15]  Adrian Pagan,et al.  A note on the extraction of components from time series , 1975 .

[16]  M. J. Murphy,et al.  Seasonal Adjustment Based on a Mixed Additive‐Multiplicative Model , 1975 .

[17]  M. Nerlove A Comparison of a Modified “Hannan” and the Bls Seasonal Adjustment Filters , 1965 .

[18]  M. Hinich,et al.  A Simple Method for Robust Regression , 1975 .

[19]  E. J. Hannan,et al.  The Estimation of Seasonal Variation in Economic Time Series , 1963 .

[20]  Dudley J. Cowden Moving Seasonal Indexes , 1942 .

[21]  D. F. Andrews,et al.  Robust Estimates of Location: Survey and Advances. , 1975 .

[22]  E. J. Hannan,et al.  The Estimation of a Changing Seasonal Pattern , 1964 .

[23]  George C. Tiao,et al.  ANALYSIS OF TELEPHONE DATA: A CASE STUDY OF FORECASTING SEASONAL TIME SERIES. , 1971 .

[24]  M. Lovell Seasonal Adjustment of Economic Time Series and Multiple Regression Analysis , 1963 .

[25]  J. Tukey One Degree of Freedom for Non-Additivity , 1949 .

[26]  E. J. Hannan,et al.  THE ESTIMATION OF SEASONAL VARIATION , 1960 .

[27]  J. Tukey,et al.  The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data , 1974 .