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Original examples

Stationary-distribution calibration for a two-state chain

Compare a known stationary distribution with matrix iteration and occupation frequencies from a deterministic-seed Markov-chain simulation.

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

A QUESTION TO TAKE FURTHER

Do the two computational routes approach the same analytical stationary distribution?

Use the two-state formula [q/(p+q),p/(p+q)], retaining the burn-in and the warning that chain samples are correlated.

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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