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Model confidence sets and forecast combination: an application to age-specific mortality

机译:置信模型集和预测组合:在特定年龄段死亡率中的应用

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Abstract BackgroundModel averaging combines forecasts obtained from a range of models, and it often produces more accurate forecasts than a forecast from a single model.ObjectiveThe crucial part of forecast accuracy improvement in using the model averaging lies in the determination of optimal weights from a finite sample. If the weights are selected sub-optimally, this can affect the accuracy of the model-averaged forecasts. Instead of choosing the optimal weights, we consider trimming a set of models before equally averaging forecasts from the selected superior models. Motivated by Hansen et al. (Econometrica 79(2):453–497, 2011), we apply and evaluate the model confidence set procedure when combining mortality forecasts.Data and methodsThe proposed model averaging procedure is motivated by Samuels and Sekkel (International Journal of Forecasting 33(1):48–60, 2017) based on the concept of model confidence sets as proposed by Hansen et al. (Econometrica 79(2):453–497, 2011) that incorporates the statistical significance of the forecasting performance. As the model confidence level increases, the set of superior models generally decreases. The proposed model averaging procedure is demonstrated via national and sub-national Japanese mortality for retirement ages between 60 and 100+.ResultsIllustrated by national and sub-national Japanese mortality for ages between 60 and 100+, the proposed model-averaged procedure gives the smallest interval forecast errors, especially for males.ConclusionWe find that robust out-of-sample point and interval forecasts may be obtained from the trimming method. By robust, we mean robustness against model misspecification.
机译:摘要背景平均模型结合了从一系列模型获得的预测,并且通常比单个模型的预测产生更准确的预测。目标使用模型平均提高预测准确性的关键部分在于确定有限样本的最佳权重。如果权重选择不够理想,则会影响模型平均预测的准确性。除了选择最佳权重之外,我们还考虑在平均取自所选高级模型的预测值之前对一组模型进行修剪。受Hansen等人启发。 (Econometrica 79(2):453–497,2011),我们在组合死亡率预测时应用并评估了模型置信集程序。数据和方法拟议的模型平均程序是由Samuels和Sekkel推动的(International Journal of Forecasting 33(1) :48-60,2017年)基于Hansen等人提出的模型置信集的概念。 (Econometrica 79(2):453-497,2011),其中纳入了预测效果的统计意义。随着模型置信度的增加,高级模型的集合通常会减少。模型的平均程序通过60岁至100岁以上的日本国家和地方以下国家的死亡率进行了证明。结果以国家和地区的60岁至100岁以上的日本日本国家的死亡率为例,该模型平均程序给出的最小结论我们发现,可以通过修整方法获得鲁棒的样本外点和区间预测。鲁棒性是指针对模型错误指定的鲁棒性。

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