A Practical Implementation of the Gibbs Sampler for Mixture of Distributions: Application to the Determination of Specifications in Food Industry
نویسندگان
چکیده
This article, mainly targeted to practitioners, illustrates practical issues that may arise when applying MCMC technics to a mixture of distributions model on real data. This data is provided by coffee manufacturer to determine specifications for soluble coffee. Assuming a known number of components, parameters of each component are estimated using the Gibbs sampler and specifications are derived as the 99% quantile of the first distribution. Convergence and label-switching are discussed. Determination of the number of components is also considered, via model selection using the Bayes Factors.
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