Automatic Modeling Methods for Univariate Series

In this article, a unified approach to automatic modeling for univariate series is presented. First, ARIMA models and the classical methods for fitting these models to a given time series are reviewed. Second, some objective methods for model identification are considered and some algorithmical procedures for automatic model identification are described. Third, outliers are incorporated into the model and an algorithm, for automatic model identification in the presence of outliers is proposed.

[1]  Ruey S. Tsay.  Regression Models with Time Series Errors , 1984 .

[2]  An Empirical Examination of a Multilateral Target Zone. , 1995 .

[3]  G. Box,et al.  Bayesian analysis of some outlier problems in time series , 1979 .

[4]  U. Bell.  A Comparative Analysis of the Aggregate Matching Process in France, Great Britain and Spain , 1997 .

[5]  Soyoung Kim.  Monetary policy rules and business cycles , 2003 .

[6]  William S. Cleveland,et al.  The Inverse Autocorrelations of a Time Series and Their Applications , 1972 .

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

[8]  G. C. Tiao,et al.  Use of canonical analysis in time series model identification , 1985 .

[9]  Aidan Meyler.  The non-accelerating inflation rate of unemployment (NAIRU) in a small open economy: The irish context , 1999 .

[10]  Zhaoren Chen.  THE ASYMPTOTIC EFFICIENCY OF A LINEAR PROCEDURE OF ESTIMATION FOR ARMA MODELS , 1985 .

[11]  G. Schwert,et al.  Tests for Unit Roots: a Monte Carlo Investigation , 1988 .

[12]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[13]  Adjustment Costs, Uncertainty and Employment Inertia , 1996 .

[14]  James N. Conklin.  The Theory of Sovering Debt and Spain under Philip II , 1998, Journal of Political Economy.

[15]  H. Lütkepohl.  COMPARISON OF CRITERIA FOR ESTIMATING THE ORDER OF A VECTOR AUTOREGRESSIVE PROCESS , 1985 .

[16]  Barbara Dluhosch.  On the Fate of Newcomers in the European Union: Lessons from the Spanish Experience , 1996 .

[17]  Malte Krüger.  Speculation, Hedging and Intermediation in the Foreign Exchange Market , 1996 .

[18]  Lon-Mu Liu,et al.  Identification of multiple-input transfer function models , 1982 .

[19]  Lon-Mu Liu,et al.  Joint Estimation of Model Parameters and Outlier Effects in Time Series , 1993 .

[20]  M. Frankenhaeuser,et al.  Estimation of time , 1959 .

[21]  J. Pearlman.  An algorithm for the exact likelihood of a high-order autoregressive-moving average process , 1980 .

[22]  G. C. Tiao,et al.  Consistent Estimates of Autoregressive Parameters and Extended Sample Autocorrelation Function for Stationary and Nonstationary ARMA Models , 1984 .

[23]  G. C. Tiao,et al.  Estimation of time series parameters in the presence of outliers , 1988 .

[24]  O. Bover,et al.  Durable consumption and house purchases: evidence from Spanish panel data , 1994 .

[25]  D. Metcalf,et al.  Spanish Pay Setting Institutions and Performance Outcomes , 1994 .

[26]  Labor market policies and unemployment dynamics in Spain , 1997 .

[27]  P. Weil,et al.  Approximate Equilibrium Asset Prices , 1998 .

[28]  S. Pantula,et al.  Determining the Order of Differencing in Autoregressive Processes , 1987 .

[29]  Daniel Peña Sánchez de Rivera,et al.  Missing observations and additive outliers in time series models , 1996 .

[30]  Agustín Maravall,et al.  Unobserved Components in Economic Time Series , 1993 .

[31]  G. C. Tiao,et al.  Consistency Properties of Least Squares Estimates of Autoregressive Parameters in ARMA Models , 1983 .

[32]  An empirical analysis of the peseta's exchange rate dynamics , 1996 .

[33]  ByoungSeon Choi,et al.  Arma Model Identification , 1992 .

[34]  R. Tsay.  Time Series Model Specification in the Presence of Outliers , 1986 .

[35]  M. Morf,et al.  Some new algorithms for recursive estimation in constant, linear, discrete-time systems , 1974 .

[36]  J. Jimeno,et al.  Monetary Union and European Unemployment , 1996 .

[37]  González Mínguez,et al.  The Balance-Sheet Transmission Channel of Monetary Policy: The Cases of Germany and Spain , 1997 .

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

[39]  C. Goodhart,et al.  Strategy an tactics of monetary policy: examples from Europe and the Antipodes , 1994 .

[40]  Lon-Mu Liu.  Identification of seasonal arima models using a filtering method , 1989 .

[41]  W. S. Cleveland,et al.  The inverse autocorrelations of a time series , 1970 .

[42]  S. Bentolila,et al.  Wage bargaining in industries with market power , 1996 .

[43]  E. Hannan,et al.  Recursive estimation of mixed autoregressive-moving average order , 1982 .

[44]  A. Maravall.  Short-term analysis of macroeconomic time series , 1996 .

[45]  R. Tsay.  Outliers, Level Shifts, and Variance Changes in Time Series , 1988 .

[46]  James W. Conklin.  Computing Value Correspondences for Repeated Games with State Variables , 1996 .

[47]  George E. P. Box,et al.  Intervention Analysis with Applications to Economic and Environmental Problems , 1975 .

[48]  I. Hernando,et al.  Does Inflation Harm Economic Growth? Evidence for the OECD , 1997 .

[49]  Henry L. Gray,et al.  A New Approach to ARMA Modeling. , 1978 .

[50]  Guy Melard,et al.  Algorithm AS197: A fast algorithm for the exact likelihood of autoregressive-moving average models , 1984 .

[51]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1971 .

[52]  G. Box,et al.  The likelihood function of stationary autoregressive-moving average models , 1979 .

[53]  C. Chatfield,et al.  Box‐Jenkins Seasonal Forecasting: Problems in a Case‐Study , 1973 .

[54]  G. Kenny,et al.  Forecasting irish inflation using ARIMA models , 1998 .

[55]  David C. Hamilton,et al.  Interpreting partial autocorrelation functions of seasonal time series models , 1978 .

[56]  G. C. Tiao,et al.  Random Level-Shift Time Series Models, ARIMA Approximations, and Level-Shift Detection , 1990 .

[57]  Daniel Peña,et al.  Missing observations in ARIMA models: Skipping approach versus additive outlier approach , 1999 .

[58]  M. Otto,et al.  Outliers in Time Series , 1972 .