๐”– Bobbio Scriptorium
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On the limitations of comparing mean square forecast errors: A reply

โœ Scribed by Michael P. Clements; David F. Hendry


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
547 KB
Volume
12
Category
Article
ISSN
0277-6693

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โœฆ Synopsis


We are grateful to the twelve discussants for their many insightful and constructive comments on our paper, although we are surprised by both the number of discussants and their near unanimity that the paper was 'provocative'. We have organized our reply under seven headings, concerned, respectively, with method comparison versus model comparison; the role of the forecast horizon; the choice of loss function; the GFESM measure; the choice of information set; truth versus congruence; and the issue of testing versus comparisons.


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An algebraic relationship between mean square error comparisons and encompassing tests is provided by a contrast of two of the earliest regression equations for comparing forecasting formulas. Hoel (1947) proposed a regression equation of precisely the form given by CH (equation (44)), namely, wher