5 research outputs found

    Metropolis Sampling

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    Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with the desired invariant distribution. In this document, we focus on the Metropolis-Hastings (MH) sampler, which can be considered as the atom of the MCMC techniques, introducing the basic notions and different properties. We describe in details all the elements involved in the MH algorithm and the most relevant variants. Several improvements and recent extensions proposed in the literature are also briefly discussed, providing a quick but exhaustive overview of the current Metropolis-based sampling's world.Comment: Wiley StatsRef-Statistics Reference Online, 201

    What factors promote student resilience on a level 1 distance learning module?

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    Resilience is understood to be the ability to adapt positively in the face of adversity. In relation to new students on a distance learning module, this can mean how they adapt and make sense of the demands of their chosen study to enable them to persist in their studies. This article reports a small-scale study involving semistructured telephone interviews with students on a level 1 distance learning module at the UK Open University. Students identified the challenges they experienced such as carving out time to study alongside other commitments, as well as developing their academic writing. Students also identified factors that enabled them to adapt to these challenges and be successful in continuing to study. Students rated highly the support they received from tutors in the form of tailored, detailed feedback on their assignments. Other factors that enabled students to persist in their studies were time management, self-belief and motivation
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