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The White House Problem Revisited: MCMC with the Metropolis–Hastings Algorithm

Therese M. Donovan and Ruth M. Mickey

in Bayesian Statistics for Beginners: a step-by-step approach

Published in print:
2019
Published Online:
July 2019
ISBN:
9780198841296
eISBN:
9780191876820
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198841296.003.0015
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

The “White House Problem” of Chapter 10 is revisited in this chapter. Markov Chain Monte Carlo (MCMC) is used to build the posterior distribution of the unknown parameter p, the probability that a ... More


Markov chain Monte Carlo methods

Chib Siddhartha

in Bayesian Theory and Applications

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199695607
eISBN:
9780191744167
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199695607.003.0006
Subject:
Mathematics, Probability / Statistics

This chapter provides a brief summary of Markov chain Monte Carlo (MCMC) methods. The chapter is organized as follows. Section 6.2 describes the Metropolis–Hastings algorithm and its generalized ... More


Monte Carlo methods

Joseph F. Boudreau and Eric S. Swanson

in Applied Computational Physics

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198708636
eISBN:
9780191858598
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198708636.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Monte Carlo methods are those designed to obtain numerical answers with the use of random numbers . This chapter discusses random engines, which provide a pseudo-random pattern of bits, and their use ... More


Analysis of Short-term Selection Experiments: 2. Mixed-model and Bayesian Approaches

Bruce Walsh and Michael Lynch

in Evolution and Selection of Quantitative Traits

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198830870
eISBN:
9780191868986
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198830870.003.0019
Subject:
Biology, Evolutionary Biology / Genetics, Biochemistry / Molecular Biology

When the full pedigree of individuals whose values (records) were used in the selection decisions during an experiment (or breeding program) is known, LS analysis can be replaced by mixed models and ... More


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