Pseudo-Marginal MCMC for Parameter Estimation in α-Stable Distributions**The first author acknowledges partial funding from EPSRC-DTG- 2013/EU, while the second and third authors were supported by the EPSRC BTaRoT project EP/K020153/1; the third author was also funded by the Learning of complex dynamical systems project (Contract number: 637-2014-466) from the Swedish Research Council.
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