COWs and their Hybrids: A Statistical View of Custom Orthogonal Weights
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917024046776320 |
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| author | Schafer, Chad Wasserman, Larry Kuusela, Mikael |
| author_facet | Schafer, Chad Wasserman, Larry Kuusela, Mikael |
| contents | A recurring challenge in high energy physics is inference of the signal component from a distribution for which observations are assumed to be a mixture of signal and background events. A standard assumption is that there exists information encoded in a discriminant variable that is effective at separating signal and background. This can be used to assign a signal weight to each event, with these weights used in subsequent analyses of one or more control variables of interest. The custom orthogonal weights (COWs) approach of Dembinski, et al.(2022), a generalization of the sPlot approach of Barlow (1987) and Pivk and Le Diberder (2005), is tailored to address this objective. The problem, and this method, present interesting and novel statistical issues. Here we formalize the assumptions needed and the statistical properties, while also considering extensions and alternative approaches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_16174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | COWs and their Hybrids: A Statistical View of Custom Orthogonal Weights Schafer, Chad Wasserman, Larry Kuusela, Mikael Applications High Energy Physics - Experiment Methodology A recurring challenge in high energy physics is inference of the signal component from a distribution for which observations are assumed to be a mixture of signal and background events. A standard assumption is that there exists information encoded in a discriminant variable that is effective at separating signal and background. This can be used to assign a signal weight to each event, with these weights used in subsequent analyses of one or more control variables of interest. The custom orthogonal weights (COWs) approach of Dembinski, et al.(2022), a generalization of the sPlot approach of Barlow (1987) and Pivk and Le Diberder (2005), is tailored to address this objective. The problem, and this method, present interesting and novel statistical issues. Here we formalize the assumptions needed and the statistical properties, while also considering extensions and alternative approaches. |
| title | COWs and their Hybrids: A Statistical View of Custom Orthogonal Weights |
| topic | Applications High Energy Physics - Experiment Methodology |
| url | https://arxiv.org/abs/2510.16174 |