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Choosing summary statistics by least angle regression for approximate Bayesian computation

Yes / Bayesian statistical inference relies on the posterior distribution. Depending on the model, the posterior can be more or less difficult to derive. In recent years, there has been a lot of interest in complex settings where the likelihood is analytically intractable. In such situations, approximate Bayesian computation (ABC) provides an attractive way of carrying out Bayesian inference. For obtaining reliable posterior estimates however, it is important to keep the approximation errors small in ABC. The choice of an appropriate set of summary statistics plays a crucial role in this effort. Here, we report the development of a new algorithm that is based on least angle regression for choosing summary statistics. In two population genetic examples, the performance of the new algorithm is better than a previously proposed approach that uses partial least squares. / Higher Education Commission (HEC), College Deanship of Scientific Research, King Saud University, Riyadh Saudi Arabia - research group project RGP-VPP-280.

Identiferoai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/14801
Date01 February 2016
CreatorsFaisal, Muhammad, Futschik, A., Hussain, I., Abd-el.Moemen, M.
Source SetsBradford Scholars
LanguageEnglish
Detected LanguageEnglish
TypeArticle, Accepted manuscript
Rights© 2016 Taylor & Francis. This is an Author's Original Manuscript of an article published by Taylor & Francis in the Journal of Applied Statistics on 01 Feb 2016 available online at http://www.tandfonline.com/10.1080/02664763.2015.1134447

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