Samplinglib
Lean gate passed 2026-08-19T06:04:36.257124+00:00 · 77184245109a
7.1 · Book p. 189 · PDF p. 201

Rejection Sampling

Reviews exact rejection sampling and identifies the envelope bounds that determine its acceptance complexity.

Open this section in the canonical August 9 source ↗

Place in the proof route

The chapter uses this material in the route toward The Metropolis-Hastings correction preserves the target through detailed balance. The declaration-level source map is intentionally left inside the formalization layer until exact theorem anchors have been audited.

Why is this valid?

Chapter-level validity conditions

  • Kernel measurability and exceptional zero-density cases must be defined.
  • Detailed balance is a measure identity, not merely a pointwise density calculation.
  • Cold-start arguments require smoothing or explicit initialization bounds.
View Lean formalization

No declaration-level mapping has been accepted for this section. This is a route status, not a failed Lean declaration.