Bayesian Statistics in Action by Raffaele Argiento Ettore Lanzarone Isadora Antoniano Villalobos & Alessandra Mattei

Bayesian Statistics in Action by Raffaele Argiento Ettore Lanzarone Isadora Antoniano Villalobos & Alessandra Mattei

Author:Raffaele Argiento, Ettore Lanzarone, Isadora Antoniano Villalobos & Alessandra Mattei
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham


2.2 Metropolis Algorithm

Here we embed the DTQ method’s likelihood computation into a Metropolis algorithm to sample from the posterior. In the Metropolis algorithm, we construct an auxiliary Markov chain which is designed to have an invariant distribution given by the posterior . This Markov chain is constructed as , where is a random vector with dimension equal to that of the parameter vector . In this paper, we choose all components of to be independent normal random variables with known means and variances.

The Metropolis algorithm is as follows:Choose value for .



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