Hastings-Metropolis algorithms and reference measures
✍ Scribed by Pei-de Chen
- Book ID
- 104302826
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 315 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
In this note, we discuss the possible existence and effect of different reference measures on the Hastings-Metropolis (H-M) algorithm. We prove that the standard H-M algorithm as a Markov chain does not depend on the choice of the reference measure, and we obtain a sufficient and necessary condition for the existence of a reference measure.
📜 SIMILAR VOLUMES
The Metropolis Adjusted Langevin Algorithm (MALA) samples from complex multivariate densities . The proposal density is based on a discretized version of a Langevin di usion, and is well deÿned only for continuously di erentiable densities . We propose a modiÿed MALA algorithm when this condition is