Degree project: On bootstrap ABC methods in regression

Abstract: The ABC algorithm is a Bayesian method which simulates samples from the posterior distribution.  In this thesis, the method is applied on both synthetic and observed data of a regression model. Under normal error distribution a conjugate prior and the likelihood function are  used in the algorithm. Additionally, a Bootstrap method is implemented in a modified algorithm to provide an alternative  method, without requiring normal error distribution. The results of both methods are thereafter presented and compared with the analytic posterior under a conjugate prior, to evaluate their performances. Lastly, advantages and possible issues are discussed.