Pith. sign in

REVIEW 4 cited by

Optimal Data-Based Binning for Histograms

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 physics/0605197 v2 pith:KAHYN6FA submitted 2006-05-23 physics.data-an math.PRmath.STphysics.comp-phstat.TH

Kevin H. Knuth This is my paper · ORCID
classification physics.data-anmath.PRmath.STphysics.comp-phstat.TH
keywords binsdensityhistogramsnumberdatadata-basedoptimalprobability
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Histograms are convenient non-parametric density estimators, which continue to be used ubiquitously. Summary quantities estimated from histogram-based probability density models depend on the choice of the number of bins. We introduce a straightforward data-based method of determining the optimal number of bins in a uniform bin-width histogram. By assigning a multinomial likelihood and a non-informative prior, we derive the posterior probability for the number of bins in a piecewise-constant density model given the data. In addition, we estimate the mean and standard deviations of the resulting bin heights, examine the effects of small sample sizes and digitized data, and demonstrate the application to multi-dimensional histograms.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. STARFIRE-2: Can we detect the global redshifted 21-cm signal from the cosmic dawn in Earth orbit?

    astro-ph.IM 2026-05 unverdicted novelty 6.0 of 10

    Simulations using the STARFIRE-2 model indicate that the global redshifted 21-cm signal from the cosmic dawn is detectable from a low-Earth near-polar orbit with a thermal noise limited radiometer.

  2. On Dust Devil Diameters, Occurrence Rates, and Activity

    astro-ph.EP 2025-07 conditional novelty 6.0 of 10

    Dust devil diameters follow a D^-5/3 power-law because the vortices are close-packed in their inflow regions, and their areal density scales with thermodynamic efficiency times sensible heat flux.

  3. A General Model Validation and Testing Tool

    stat.ME 2019-08 conditional novelty 6.0 of 10

    The Bayesian Validation Metric is a general probabilistic framework that unifies standard model validation metrics as special cases and enables user-defined validation criteria.

  4. CHANCES, the Chilean Cluster Galaxy Evolution Survey: Selection and initial characterisation of clusters and superclusters

    astro-ph.GA 2024-11 accept novelty 5.0 of 10

    The CHANCES survey sample: 100 clusters plus two superclusters with homogenized mass estimates and preliminary maps of surrounding groups.

Pith tools