Chi-square Intervals for a Poisson Parameter - Bayes, Classical and Structural

E. A. Maxwell

Chi-square Intervals for a Poisson Parameter - Bayes, Classical and Structural

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1102.0822 v1 pith:VG42VIEC submitted 2011-02-04 math.ST stat.TH

E. A. Maxwell This is my paper · ORCID

classification math.STstat.TH

keywords intervalschi-squarecoveragepoissonstructuralbayesianestimationmean

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

The 'standard' confidence interval for a Poisson parameter is only one of a number of estimation intervals based on the chi-square distribution that may be used in the estimation of the mean or mean rate for a Poisson model. Other chi-square intervals are available for experimenters using Bayesian or structural inference methods. Exploring these intervals also leads to other alternate approximate chi-square intervals. Although coverage probability may not always be of interest for Bayesian or structural intervals, coverage probabilities are useful for validating 'objective' priors. Coverage probabilities are explored for all of the intervals considered.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 2 citations worldwide. Full citation record

Exploring Cosmic Dawn with PANORAMIC I: The Bright End of the UVLF at $z\sim9 -17$
astro-ph.GA 2025-07 conditional novelty 6.0 of 10

Bright galaxy number densities at z~10 match previous JWST results, but are lower at z~13, and the new z~17 upper limits imply a drop of at least a factor ~50 in UV luminosity density from z~10 to z~17.

Pith tools