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Using the Bootstrap as an Aid in Choosing the Approximate Representation for Vector Time Series

用自助法辅助选择向量时间序列的近似表示

In this article, a procedure is presented to use the bootstrap in choosing the best approximation in terms of forecasting performance for the equivalent state-space representation of a vector autoregressive model. It is found that the proposed procedure, which uses each approximator's forecasting performance, can enhance considerably an approach based simply on the estimated Hankel singular values.

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The Efficiency of Least Squares in Estimating a Stable Seasonal Pattern

最小二乘估计稳定季节模式的效率

In this article we investigate the efficiency of least squares (l.s.) in estimating a stable pattern. A model is proposed for an economic time series, which, after filtering, is a suitable basis for our investigation. The covariance structure of the disturbances is assumed known and several possible generating processes for the disturbances are considered. We contrast the variances of the l.s. estimates with those from the best linear unbiased (b.l.u.) procedure for four…

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The Efficiency of Least Squares in Estimating a Stable Seasonal Pattern

稳定季节模式估计中最小二乘法的效率

In this article we investigate the efficiency of least squares (l.s.) in estimating a stable pattern. A model is proposed for an economic time series, which, after filtering, is a suitable basis for our investigation. The covariance structure of the disturbances is assumed known and several possible generating processes for the disturbances are considered. We contrast the variances of the l.s. estimates with those from the best linear unbiased (b.l.u.) procedure for four…

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