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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.04007 |
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| _version_ | 1866916159909003264 |
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| author | Pinto, Andrés Wu, Zhibo Balli, Fabrice Berger, Nicolas Boonekamp, Maarten Chapon, Émilien Kawamoto, Tatsuo Malaescu, Bogdan |
| author_facet | Pinto, Andrés Wu, Zhibo Balli, Fabrice Berger, Nicolas Boonekamp, Maarten Chapon, Émilien Kawamoto, Tatsuo Malaescu, Bogdan |
| contents | When a measurement of a physical quantity is reported, the total uncertainty is usually decomposed into statistical and systematic uncertainties. This decomposition is not only useful to understand the contributions to the total uncertainty, but also required to propagate these contributions in subsequent analyses, such as combinations or interpretation fits including results from other measurements or experiments. In profile-likelihood fits, widely applied in high-energy physics analyses, contributions of systematic uncertainties are routinely quantified using "impacts", which are not adequate for such applications. We discuss the difference between impacts and actual uncertainty components, and establish methods to determine the latter in a wide range of statistical models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04007 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uncertainty components in profile likelihood fits Pinto, Andrés Wu, Zhibo Balli, Fabrice Berger, Nicolas Boonekamp, Maarten Chapon, Émilien Kawamoto, Tatsuo Malaescu, Bogdan Data Analysis, Statistics and Probability High Energy Physics - Experiment When a measurement of a physical quantity is reported, the total uncertainty is usually decomposed into statistical and systematic uncertainties. This decomposition is not only useful to understand the contributions to the total uncertainty, but also required to propagate these contributions in subsequent analyses, such as combinations or interpretation fits including results from other measurements or experiments. In profile-likelihood fits, widely applied in high-energy physics analyses, contributions of systematic uncertainties are routinely quantified using "impacts", which are not adequate for such applications. We discuss the difference between impacts and actual uncertainty components, and establish methods to determine the latter in a wide range of statistical models. |
| title | Uncertainty components in profile likelihood fits |
| topic | Data Analysis, Statistics and Probability High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2307.04007 |