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Bootstrapping the process of model selection: AN econometric example

对模型选择全过程进行自助法推断:一个计量经济学例子

Abstract If a researcher has mined the data (i.e. selected an empirical model based on a series of trial estimates), inferences based on the final set of results are in general incorrect. This note treats the entire data mining process as an estimator and shows how a bootstrapping technique may improve the quality of inference. The method is applied to an empirical example on the deterrent effects of capital punishment.

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Selecting Regressors for Prediction Using PRESS and White t Statistics

It is shown that selecting regressors based on the prediction error sum of squares is asymptotically related to hypothesis testing with White's (1980) heteroscedasticity-consistent covariance matrix. A simulation experiment suggest that this asymptotic relation may be useful. Illustrative examples are also given.

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Selecting Regressors for Prediction Using PRESS and White t Statistics

使用 PRESS 与 White t 统计量选择预测回归变量

It is shown that selecting regressors based on the prediction error sum of squares is asymptotically related to hypothesis testing with White's (1980) heteroscedasticity-consistent covariance matrix. A simulation experiment suggest that this asymptotic relation may be useful. Illustrative examples are also given.

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The Probability Distribution of Future Demand

未来需求的概率分布

The bootstrapping technique of Efron (1979) is used to estimate the probability distribution of future electricity demand for Hydro Quebec. The application follows the regression approach of Freedman and Peters (1984a,b) but also allows for serially correlated disturbances and uncertainty in the independent variable forecasts.

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Formulating wald tests of the restrictions implied by the rational expectations hypothesis

理性预期假说约束的 Wald 检验构造

Abstract In this paper, we examine the small sample properties of alternative formulations of Wald tests of non‐linear restrictions implied by the rational expectations hypothesis. A Monte Carlo analysis is presented as well as an example using Canadian aggregate time series data. The evidence indicates that Wald test results are extremely sensitive in small samples to the way in which the non‐linear restrictions in such models are parameterized, with a multiplicative form…

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