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Bootstrapping for Significance of Compact Clusters in Multidimensional Datasets

多维数据中紧凑聚类显著性的自助法评估

This article proposes a bootstrap approach for assessing significance in the clustering of multidimensional datasets. The procedure compares two models and declares the more complicated model a better candidate if there is significant evidence in its favor. The performance of the procedure is illustrated on two well-known classification datasets and comprehensively evaluated in terms of its ability to estimate the number of components via extensive simulation studies, with…

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Pay Phones, Parking Meters, Vending Machines, and Optimal Bayesian Decisions on Collection Times

公用电话、停车收费器与自动售货机的最优贝叶斯收款时点

Payphones, parking meters, and vending machines illustrate the modern business practice of substituting machinery for manpower. They do not eliminate manual labor completely, because full coin-boxes still must be replaced and vending machines still must be stocked. Deciding when to replace a coin-box is important, with unequal losses resulting from underestimation and overestimation. This article derives optimal methodology for this problem by incorporating collection…

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Variability Assessment in Positron Emission Tomography and Related Generalized Deconvolution Models

正电子发射断层成像及广义反卷积模型的变异性评估

The problem of variance assessment for positron emission tomography (PET) image reconstructions is considered in the context of generalized deconvolution. A refinement of an approximate technique proposed by Carson and colleagues is examined. Computational implications of representing the reconstruction kernel in terms of a weighted sum of Gaussian densities are developed. Bias and variance characteristics of the resulting variance estimators are examined by numerical…

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Variability Assessment in Positron Emission Tomography and Related Generalized Deconvolution Models

正电子发射断层成像及广义反卷积模型的变异评估

The problem of variance assessment for positron emission tomography (PET) image reconstructions is considered in the context of generalized deconvolution. A refinement of an approximate technique proposed by Carson and colleagues is examined. Computational implications of representing the reconstruction kernel in terms of a weighted sum of Gaussian densities are developed. Bias and variance characteristics of the resulting variance estimators are examined by numerical…

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