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Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.

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E03 Monte Carlo and MCMC methods

Years 1 to 3 pathE: Proposed extensionsplannedproposed, not in any programmeabout 120 h (planning estimate)

Planned: syllabus only, no teaching material yet. Nothing on this page can be studied; it describes what the course would cover.

In no programme. This is a proposed extension course; the owner has not approved it into a programme.

Proposed by the assistant to fill a gap in the owner's catalogue. It is in no programme until the owner approves it.

Why this course

Simulation-based computation used across statistics, physics and learning.

Prerequisites

Required
B11 Probability I, F03 Programming for mathematical exploration
Recommended
B17 Mathematical statistics I
Can be taken at the same time
none
Everything required, transitively (8 courses)
B01, B02, B03, B05, B11, F01, F02, F03
Courses that require this one
none

Concept-level units

Units follow the syllabus order, as a recommended sequence rather than a gate.

  1. Random numbers and sampling
  2. Importance sampling
  3. Variance reduction
  4. Markov chains for sampling
  5. Metropolis–Hastings and Gibbs samplers
  6. Convergence diagnostics

Assessable outcome

Implement a sampler, prove why it targets the right distribution and check its convergence.

Assessment design

  • topic exercises
  • mixed problem sets
  • unseen proof or derivation problems
  • cumulative examination

cumulative; uses spaced retrieval

Resources

Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.

  • Owen · Monte Carlo theory, methods and examples (free)
  • Robert and Casella · Monte Carlo Statistical Methods

Content record

Version
0.0.0
Review
no review of any kind
Provenance
PROPOSED by the assistant on 30 Oct 2026 to fill gaps in the brief's catalogue; not in the owner's brief; needs the owner's approval and a curriculum reviewer
Known issues
  • Proposed course: not counted by any programme audit until the owner approves adding it to an elective pool.
Type
course

Bridges and laboratories

No bridge or laboratory is attached to this course yet.

You and this course

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