修正的优化无偏GM(1, 1)模型在瓦斯事故预测中的应用

Application of modified and optimized unbiased GM(1, 1) model in gas accidents predictio

  • 摘要: 针对无偏GM(1, 1)模型可能因个别异常点导致预测误差很大甚至失效的问题,建立了修正的优化无偏GM(1, 1)模型。该模型剔除了异常点,并用一次插值法得到的新数据代替异常点,最后对拟合、预测值作残差修正。将该模型用于煤矿瓦斯事故遇难人数预测,结果表明,修正的优化无偏GM(1, 1)模型大幅提高了煤矿瓦斯事故遇难人数的拟合及预测精度,后验差精度检验等级为好,其预测值的相对误差绝对值为0.070 4,仅为优化前的40.8%。

     

    Abstract: For problem that unbiased GM(1, 1) model may lead to large prediction error or even prediction failure due to individual outlier, modified and optimized unbiased GM(1, 1) model was established. The model excludes outlier and uses new data obtained by once interpolation method instead of the outlier, and finally fits the predictive value by residual modification. The model was used to predict death toll in coal mine gas accidents, the prediction result showed that the modified and optimized unbiased GM(1, 1) model greatly improves fit and prediction accuracy of death toll in gas accidents, the posterior difference accuracy level is good, the absolute value of relative error of the predictive value is 0.070 4, only 40.8% of the value before optimization.

     

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