We propose and evaluate explicit tests of the null hypothesis of no di
fference in the accuracy of two competing forecasts. In contrast to pr
eviously developed tests, a wide variety of accuracy measures can be u
sed (in particular, the loss function need not be quadratic and need n
ot even be symmetric), and forecast errors can be non-Gaussian, nonzer
o mean, serially correlated, and contemporaneously correlated. Asympto
tic and exact finite-sample tests are proposed, evaluated, and illustr
ated.