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Check one assumption in: Hastings: general proposal-based Markov-chain sampling

Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Generalized the Metropolis construction through proposal probabilities and acceptance ratios chosen to preserve a target distribution, while treating dependence and estimation error in Markov-chain samples.

A useful result: A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.

Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.

Curated source: /records/hastings-sampling/ Archived source urn:uuid:67195dbd-2d9b-472c-a1d2-7028175f5411, version 2, sha256:3d3eacff289f6ce0d4733f4b1cc41f1132e8641d7a61ff21605b97e0f1d22d30. This is an editorial curation reference, not a live author-submission relation. Scope: The normalizing constant can cancel from the ratio, but validity still depends on the chain and target assumptions. Correlated draws are not independent samples, and detailed balance does not supply a finite-time mixing guarantee. Original sources: https://probability.ca/hastings/hastings.pdf

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{
  "profile": "wrs-frontier-question-draft-1",
  "title": "Check one assumption in: Hastings: general proposal-based Markov-chain sampling",
  "category": "mathematics",
  "question": "Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Generalized the Metropolis construction through proposal probabilities and acceptance ratios chosen to preserve a target distribution, while treating dependence and estimation error in Markov-chain samples.",
  "constraints": "Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.",
  "success_criteria": "A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.",
  "context": "Curated source: /records/hastings-sampling/\nArchived source urn:uuid:67195dbd-2d9b-472c-a1d2-7028175f5411, version 2, sha256:3d3eacff289f6ce0d4733f4b1cc41f1132e8641d7a61ff21605b97e0f1d22d30.\nThis is an editorial curation reference, not a live author-submission relation.\nScope: The normalizing constant can cancel from the ratio, but validity still depends on the chain and target assumptions. Correlated draws are not independent samples, and detailed balance does not supply a finite-time mixing guarantee.\nOriginal sources: https://probability.ca/hastings/hastings.pdf",
  "publication_consent": false
}

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Check one assumption in: Hastings: general proposal-based Markov-chain sampling

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