{
  "abstract": "We consider a supercritical two-type continuous-time linear birth-death process with mutation and selection, in which wild-type individuals give rise to mutant offspring with a larger net-growth rate. We previously had obtained first-order law of large number results for the driver site frequency spectrum. We return to obtain a second-order central limit theorem, in which we show stable convergence of a scaling of the deviation of the SFS from its first-order limit. We provide a central limit theorem at both large detection times and sizes. Then, we apply these results to obtain confidence intervals for a class of consistent estimators for the fitness advance.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32942",
  "author_total": 3,
  "authors": [
    {
      "name": "Armaan Ahmed"
    },
    {
      "name": "Jasmine Foo"
    },
    {
      "name": "Kevin Leder"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1zhxcwcegepwp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32942",
  "fulltext_url": null,
  "id": "1zhxcwcegepwp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32942",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "arxiv",
      "q-bio.PE"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7223663506",
  "pdf_url": "https://arxiv.org/pdf/2610.32942",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1zhxcwcegepwp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32942",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32942"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.PE",
      "subfield": "evolutionary-biology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "A Central Limit Theorem for the Driver Site Frequency Spectrum",
  "title_text": "A Central Limit Theorem for the Driver Site Frequency Spectrum",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:20Z",
  "url": "https://research.draconitic.com/paper/1zhxcwcegepwp",
  "venue": "arXiv",
  "versions": []
}