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pith:N67PSNCB

pith:2026:N67PSNCBJGMHBMNFQF5ANON2EE

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Robust inference in inflated beta regression

Francisco Felipe Queiroz, Silvia Lopes de Paula Ferrari

Robust estimators protect inflated beta regression from outlier distortion while keeping the same interpretable parameters.

arxiv:2605.14011 v1 · 2026-05-13 · stat.ME

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Claims

C1strongest claim

We propose robust estimators that mitigate the lack of robustness in maximum likelihood-based inference while preserving the simplicity and interpretability of the inflated beta framework.

C2weakest assumption

That the proposed robust estimators and the data-driven tuning algorithm will deliver both robustness and reasonable efficiency across the range of contamination levels and sample sizes encountered in practice, without introducing new biases that offset the gains.

C3one line summary

Robust estimators and a data-driven tuning algorithm are introduced for inflated beta regression to reduce outlier impact while retaining model interpretability.

References

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[1] Basu, A., Harris, I.R., Hjort, N.L., Jones, M.C. (1998). Robust and efficient estimation by minimising a density power divergence. Biometrika , 85, 549--559 1998

[2] Bianco, A.M., Yohai, V.J. (1996). Robust estimation in the logistic regression model. In Robust Statistics, Data Analysis, and Computer Intensive Methods , 17--34. Springer, London 1996

[3] Bianco, A.M., Martínez, E. (2009). Robust testing in the logistic regression model. Computational Statistics and Data Analysis , 53, 4095--4105 2009

[4] Bondell, H.D. (2005). Minimum distance estimation for the logistic regression model. Biometrika , 92, 724--731 2005

[5] Cantoni, E., Ronchetti, E. (2001). Robust inference for generalized linear models. Journal of the American Statistical Association , 96, 1022--1030 2001

Receipt and verification

First computed	2026-05-17T23:39:13.063529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fbef93441499870b1a5817a06b9ba2131e2cf5690d6786633b015a824847807

Aliases

arxiv: 2605.14011 · arxiv_version: 2605.14011v1 · doi: 10.48550/arxiv.2605.14011 · pith_short_12: N67PSNCBJGMH · pith_short_16: N67PSNCBJGMHBMNF · pith_short_8: N67PSNCB

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/N67PSNCBJGMHBMNFQF5ANON2EE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6fbef93441499870b1a5817a06b9ba2131e2cf5690d6786633b015a824847807

Canonical record JSON

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    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-13T18:22:19Z",
    "title_canon_sha256": "d0d56af6659fcd742a73d049bdd14f3eb55b3b1c78aae2d61aabff74ae7fd1df"
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