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ABC methods bypass the evaluation of the likelihood function. In this way, ABC methods widen the realm of models for which statistical inference can be considered. ABC methods are mathematically well-founded, but they inevitably make assumptions and approximations whose impact needs to be carefully assessed. Furthermore, the wider application ___domain of ABC exacerbates the challenges of [[Estimation Theory|parameter estimation]] and [[model selection]].
ABC has rapidly gained popularity over the last years and in particular for the analysis of complex problems arising in [[Biology|biological sciences]], e.g. in [[population genetics]], [[ecology]], [[epidemiology]],
==History==
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{{reflist|35em|refs=
<ref name="Beaumont2010">{{cite journal | last1 = Beaumont | first1 = MA | year = 2010 | title = Approximate Bayesian Computation in Evolution and Ecology | journal = Annual Review of Ecology, Evolution, and Systematics | volume = 41 | pages = 379–406 | doi=10.1146/annurev-ecolsys-102209-144621}}</ref>
<ref name="Bharti">{{cite journal | last1 = Bharti | first1 = A | last2 = Briol | first2 = F.-X. | last3 = Pedersen | first3 = T | year = 2021 | title = A General Method for Calibrating Stochastic Radio Channel Models with Kernels | journal = IEEE Transactions on Antennas and Propagation | doi=10.1109/TAP.2021.3083761}}</ref>
<ref name="Bertorelle">{{cite journal | last1 = Bertorelle | first1 = G | last2 = Benazzo | first2 = A | last3 = Mona | first3 = S | year = 2010 | title = ABC as a flexible framework to estimate demography over space and time: some cons, many pros | journal = Molecular Ecology | volume = 19 | issue = 13| pages = 2609–2625 | doi=10.1111/j.1365-294x.2010.04690.x| pmid = 20561199 | s2cid = 12129604 | doi-access = free }}</ref>
<ref name="Csillery">{{cite journal | last1 = Csilléry | first1 = K | last2 = Blum | first2 = MGB | last3 = Gaggiotti | first3 = OE | last4 = François | first4 = O | year = 2010 | title = Approximate Bayesian Computation (ABC) in practice | journal = Trends in Ecology & Evolution | volume = 25 | issue = 7| pages = 410–418 | doi=10.1016/j.tree.2010.04.001| pmid = 20488578 }}</ref>
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