Non-ignorable fuzziness in granular counts: the case of RNA-seq data
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911647929466880 |
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| author | Calcagnì, Antonio Consiglio, Arianna Grzegorzewski, Przemyslaw Mencar, Corrado |
| author_facet | Calcagnì, Antonio Consiglio, Arianna Grzegorzewski, Przemyslaw Mencar, Corrado |
| contents | RNA-seq count data are often affected by read-to-gene alignment ambiguity, especially in high-dimensional transcriptomics. This type of ambiguity can be conveniently expressed through granular counts, namely fuzzy-valued observations of latent discrete quantities. We study a class of fuzzy-reporting mechanisms and show that, when reporting exploits graded membership, ignorability fails generically, leading to a coarsening-not-at-random structure. A hierarchical model is then introduced as a tractable instance of this construction and illustrated using RNA-seq data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_00763 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-ignorable fuzziness in granular counts: the case of RNA-seq data Calcagnì, Antonio Consiglio, Arianna Grzegorzewski, Przemyslaw Mencar, Corrado Methodology Genomics Applications 62A86, 62F15, 62P10 RNA-seq count data are often affected by read-to-gene alignment ambiguity, especially in high-dimensional transcriptomics. This type of ambiguity can be conveniently expressed through granular counts, namely fuzzy-valued observations of latent discrete quantities. We study a class of fuzzy-reporting mechanisms and show that, when reporting exploits graded membership, ignorability fails generically, leading to a coarsening-not-at-random structure. A hierarchical model is then introduced as a tractable instance of this construction and illustrated using RNA-seq data. |
| title | Non-ignorable fuzziness in granular counts: the case of RNA-seq data |
| topic | Methodology Genomics Applications 62A86, 62F15, 62P10 |
| url | https://arxiv.org/abs/2604.00763 |