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# Triply fuzzy function approximation for hierarchical Bayesian inference

@article{Osoba2012TriplyFF, title={Triply fuzzy function approximation for hierarchical Bayesian inference}, author={Osonde Osoba and Sanya Mitaim and Bart Kosko}, journal={FO & DM}, year={2012}, volume={11}, pages={241-268} }

- Published 2012 in FO & DM
DOI:10.1007/s10700-012-9130-0

We prove that three independent fuzzy systems can uniformly approximate Bayesian posterior probability density functions by approximating the prior and likelihood probability densities as well as the hyperprior probability densities that underly the priors. This triply fuzzy function approximation extends the recent theorem for uniformly approximating the posterior density by approximating just the prior and likelihood densities. This approximation allows users to state priors and hyper-priors… CONTINUE READING

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