Bernoulli amputation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911076399972352 |
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| author | Hofert, Marius Jackson, James Hagenbuch, Niels |
| author_facet | Hofert, Marius Jackson, James Hagenbuch, Niels |
| contents | An approach to amputation, the process of introducing missing values to a complete dataset, is presented. It allows to construct missingness indicators in a flexible and principled way via copulas and Bernoulli margins and to incorporate dependence in missingness patterns. Besides more classical missingness models such as missing completely at random, missing at random, and missing not at random, the approach is able to model structured missingness such as block missingness and, via mixtures, monotone missingness, which are patterns of missing data frequently found in real-life datasets. Properties such as joint missingness probabilities or missingness correlation are derived mathematically. The approach is demonstrated with mathematical examples and empirical illustrations in terms of a well-known dataset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bernoulli amputation Hofert, Marius Jackson, James Hagenbuch, Niels Applications Statistics Theory Other Statistics 62D10, 62H99, 65C60 An approach to amputation, the process of introducing missing values to a complete dataset, is presented. It allows to construct missingness indicators in a flexible and principled way via copulas and Bernoulli margins and to incorporate dependence in missingness patterns. Besides more classical missingness models such as missing completely at random, missing at random, and missing not at random, the approach is able to model structured missingness such as block missingness and, via mixtures, monotone missingness, which are patterns of missing data frequently found in real-life datasets. Properties such as joint missingness probabilities or missingness correlation are derived mathematically. The approach is demonstrated with mathematical examples and empirical illustrations in terms of a well-known dataset. |
| title | Bernoulli amputation |
| topic | Applications Statistics Theory Other Statistics 62D10, 62H99, 65C60 |
| url | https://arxiv.org/abs/2407.18572 |