Pith Number

pith:IRASRYUZ

pith:2026:IRASRYUZUPGQGXJ7LF2NSZSKLO

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PoissonRatioUQ: An R package for band ratio uncertainty quantification

Matthew LeDuc, Tomoko Matsuo

An R package performs Bayesian inference on the ratio of Poisson means to quantify uncertainty in count data problems.

arxiv:2602.07165 v3 · 2026-02-06 · stat.CO · physics.data-an · stat.ME

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Claims

C1strongest claim

We introduce an R package for Bayesian modeling and uncertainty quantification for problems involving count ratios. The modeling relies on the assumption that the quantity of interest is the ratio of Poisson means rather than the ratio of counts. We provide multiple different options for retrieval of this quantity for problems with and without spatial information included. Some added capability for uncertainty quantification for problems of the form Z=(mT+z0)^p is included.

C2weakest assumption

The assumption that the quantity of interest is the ratio of Poisson means rather than the ratio of counts, as stated in the abstract as the basis for the modeling approach.

C3one line summary

PoissonRatioUQ is an R package providing Bayesian uncertainty quantification for the ratio of Poisson means in count data problems, including spatial and transformed intensity cases.

Receipt and verification

First computed	2026-06-05T01:15:19.847932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444128e299a3cd035d3f5974d9664a5ba487f7062e6f20c1e0e566aac42417dc

Aliases

arxiv: 2602.07165 · arxiv_version: 2602.07165v3 · doi: 10.48550/arxiv.2602.07165 · pith_short_12: IRASRYUZUPGQ · pith_short_16: IRASRYUZUPGQGXJ7 · pith_short_8: IRASRYUZ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IRASRYUZUPGQGXJ7LF2NSZSKLO \
  | 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: 444128e299a3cd035d3f5974d9664a5ba487f7062e6f20c1e0e566aac42417dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bfff205f97c1b78391e6419decf0b8210342765a5ac5ac390dd4288e7c7f70",
    "cross_cats_sorted": [
      "physics.data-an",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2026-02-06T20:06:52Z",
    "title_canon_sha256": "a812e5e1f436ce669ab47ceb0f006f3fc272a7fc85cba1840115fc7308ffdd4e"
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  "source": {
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    "kind": "arxiv",
    "version": 3
  }
}