An Application of Bootstrapping for Determining a Decision Rule for Site Location
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This article provides a general methodology for determining and evaluating a decision rule for hotel site location. Given (1) an indicator of hotel success, (2) an ideal decision rule based on this indicator if it were known without error, and (3) a model for predicting the value of the success indicator at a proposed site, we propose a procedure for finding the optimal model-based decision rule for any specified optimality criterion and for evaluating the worth of the rule. The methodology is based on the statistical technique called bootstrapping. This method reduces the bias of conventional methods of estimation that have been applied in the context of site-location modeling. The methodology is illustrated using data from a large hotel chain in the United States and evaluated using an independent evaluation sample.
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多层主效应矩阵因子模型
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高维线性回归的统一谱分析:去偏与阈值化
We use spectral analysis to establish a unified theory of debiasing, thresholding, and simultaneous inference for high-dimensional linear regression with ill-conditioned designs. The methods include Ridge regression, spectral cut-off, and iterative and dynamical regression procedures. A common debiasing procedure uses two applications of the original linear algorithm with fixed parameters. Spectral analysis shows that debiasing squares the residual, while implementations…