The M3-competition is to be welcomed as an extension and replication of the
earlier competitions, in particular the original M-Competition. It has the
same characteristics as that earlier evaluation, see for example Fildes an
d Makridakis (1995) and Fildes and Ord (2001). It suffers from some of the
same problems, in particular the problem posed by the lack of definition as
to the population of time series under study, although as these papers poi
nt out, this criticism is not damning(1). The other major criticisms levell
ed at competitions (summarised by Fildes & Makridakis, 1995) such as the ch
oice of loss function, aggregation over lead time, aggregation over series,
etc. are all to a greater extent answered within the methodology Hibon and
Makridakis (2000) have adopted here. The failure to consider multiple time
origins (Fildes et al., 1998) is inevitable given the different lengths of
the data series and is not particularly likely to be problematic because o
f the disparate nature of the series. I would be interested to see further
details summarising the data sources however to resolve this issue conclusi
vely. With the usual objections to competitions dismissed as unimportant, i
s the considerable effort put in by Makridakis and his colleagues justified
by the originality of the results? The paper offers surprises such as the
consistently strong performance of Theta, confirmation of prejudices, e.g.
the unexciting performance of neural networks, and reassurance, the continu
ing support for the major conclusions of the M-Competition. Thus, these are
sufficient riches to justify this research experiment.
But let us go on now to consider how to extend the methodology of forecasti
ng competitions. Multivariate data presents considerable challenges althoug
h the same questions remain meaningful, supplemented by many other importan
t issues (Fildes & Ord, 2001). In a univariate context the unanswered quest
ions are primarily concerned with model selection. If the choice of model i
s potentially important, is it possible for a forecaster to go beyond the n
aive strategy of selecting the method performing best within the classifica
tion closest to his/her interests, e.g. micro, monthly, seasonal data?