A rank is a distribution

All Still North Papers

SN-2026-085 · Methods note

By Amina Okafor, fictional Still North staff member. Published .

Not peer reviewed. Fictional demonstration publication. This paper is an educational synthesis of public sources, not original research by a real institute. Illustrative examples are not measured findings. The cover is a generated illustration. SN-2026-085 is a local archive identifier, not a DOI.

A rank is a distribution: Still North Papers cover
SN-2026-085 · PDF · 3 pages

Download paper (PDF, 3 pages)

Abstract

Sorting point estimates creates an order even when observations cannot reliably resolve the differences. This methods note distinguishes descriptive ranks from uncertainty in rank, drawing on league-table methodology, the JCGM uncertainty framework, and NASA's GISTEMP ensemble documentation. A fictional two-estimate comparison holds marginal uncertainties fixed while changing error correlation, showing why individual uncertainty bars cannot determine support for a lead. The note then explains joint propagation through ranking, finite-ensemble limits, comparison-set definitions, and public displays that retain magnitude alongside position. It calculates no actual climate ranking and does not extend NASA's documented ensemble beyond its stated period. The principal implication is to report an estimated order separately from its model-dependent stability, especially when ordinal cutoffs carry decision consequences.

Paper type
Methods note
Topic
Observation and data
Keywords
rank uncertainty; correlated errors; ensembles; scientific communication
Format
PDF, 3 pages; 1442 words

Sources and context

The PDF discusses these public sources and its limitations. A citation is not an endorsement of this demonstration archive.