Tests for multiple forecast encompassing

In the evaluation of economic forecasts, it is frequently the case that comparisons are made between a number of competing predictors. A natural question to ask in such contexts is whether one forecast encompasses its competitors, in the sense that they contain no useful information not present in the superior forecast. We develop tests for this notion of multiple forecast encompassing which are robust to properties expected in the forecast errors, and apply the tests to forecasts of UK growth and inflation. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[2]  G. Pepper Inside Thatcher's Monetarist Revolution , 1997 .

[3]  R. Clemen Combining forecasts: A review and annotated bibliography , 1989 .

[4]  M. Hashem Pesaran,et al.  A generalization of the non-parametric Henriksson-Merton test of market timing , 1994 .

[5]  J. M. Bates,et al.  The Combination of Forecasts , 1969 .

[6]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[7]  H. White Asymptotic theory for econometricians , 1985 .

[8]  Paul Newbold,et al.  Some comments on the evaluation of economic forecasts , 1973 .

[9]  C. Dunnett,et al.  A BIVARIATE GENERALIZATION OF STUDENT'S t-DISTRIBUTION, WITH TABLES FOR CERTAIN SPECIAL CASES , 1954 .

[10]  P. Newbold,et al.  Tests for Forecast Encompassing , 1998 .

[11]  Terence C. Mills,et al.  Assessing the forecasters: an analysis of the forecasting records of the Treasury, the London Business School and the National Institute , 1999 .

[12]  Paul Newbold,et al.  Testing the equality of prediction mean squared errors , 1997 .

[13]  C. Granger Invited review combining forecasts—twenty years later , 1989 .

[14]  D. Hendry,et al.  Econometric Evaluation of Linear Macro-Economic Models , 1986 .

[15]  Michael P. Clements,et al.  On the limitations of comparing mean square forecast errors , 1993 .

[16]  M. Hashem Pesaran,et al.  A Simple Nonparametric Test of Predictive Performance , 1992 .

[17]  H. Hotelling The Generalization of Student’s Ratio , 1931 .

[18]  H. White A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[19]  Paul Newbold,et al.  Forecast evaluation tests in the presence of ARCH , 1999 .