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Original examples

Synthetic correlated measurements with a known covariance

Generate 256 paired synthetic measurements through a declared linear transformation of independent standard-normal draws, with known population covariance.

Proposed original example. Source release and any execution are separate steps.

A QUESTION TO TAKE FURTHER

Can covariance and correlation implementations be calibrated against a transparent generator?

Record the population covariance, every generated row, and finite-sample estimates; distinguish sample variability from implementation error.

What you could produce

  • A scoped observations JSON record and a comparison with the stated reference.

Before you use it

  • Python 3.13 standard library

Limits to keep in view

  • No research code was executed by the preparation tool.
  • Author output cannot issue an independent scientific-verification result.

Source and permission context

Original local preparation by the Executable Science seed collection; upstream API references remain separately attributed.

Catalog listing reviewed. This review covers the description and source links displayed here.

Local draft title, collective byline, original summary, and proposed split terms reviewed.

Reviewed 2026-09-14. Copying or adapting source files remains subject to their own terms.

Before copying source material

  • Proposed local-draft licenses: original code MIT, explanations CC-BY-4.0, synthetic numeric data CC0-1.0; publication/disclosure approval remains separate.

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