2001
DOI: 10.1016/s0304-4076(01)00071-9
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Tests of equal forecast accuracy and encompassing for nested models

Abstract: This paper examines the asymptotic and finite-sample properties of out-of-sample tests for equal accuracy and encompassing as applied to nested models. With nested models, these tests can be viewed as Granger causality tests. Applied to nested models, however, the standard asymptotic critical values for many tests of equal accuracy and encompassing are invalid. Statistics such as those proposed by Diebold and Mariano (1995) and Harvey, et. al. (1998) fail to converge to the standard normal distribution when th… Show more

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Cited by 943 publications
(382 citation statements)
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References 48 publications
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“…The limiting distribution for h > 1 is non-standard, as discussed in Clark and McCracken (2001). As long as a Newey and West (1987) type estimator is used when h > 1, however, then the tabulated critical values closely approximate the N(0, 1) values (Bhardwaj and Swanson, 2006).…”
Section: Measuring Model Forecast Performancementioning
confidence: 94%
See 1 more Smart Citation
“…The limiting distribution for h > 1 is non-standard, as discussed in Clark and McCracken (2001). As long as a Newey and West (1987) type estimator is used when h > 1, however, then the tabulated critical values closely approximate the N(0, 1) values (Bhardwaj and Swanson, 2006).…”
Section: Measuring Model Forecast Performancementioning
confidence: 94%
“…u + is the forecasting error of model k=asset, cm) Clark and McCracken (2001) argue that when forecasting models are nested, many of the standard test statistics (including the HLNh test) are no longer asymptotically Gaussian, as the forecast errors are asymptotically the same and thus perfectly correlated. They provide an alternative test for nested models, called the ENC-T test.…”
Section: Measuring Model Forecast Performancementioning
confidence: 99%
“…In practice, it is likely that only the outcomes Clark and McCracken (2001) are useful to evaluate the quality of the forecasts.…”
Section: Methodsmentioning
confidence: 99%
“…We used Theil's U statistic, the MSE-F test developed by McCracken (2004), and the ENC-NEW test developed by Clark and McCracken (2001) In order to implement the MSE-F and the ENC-NEW tests, we followed Lettau and Ludvigson (2001) and defined two benchmark models. The first benchmark model is an autoregressive model.…”
Section: Out-of-sample Tests Of Predictability Of Stock Returnsmentioning
confidence: 99%