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tutorials/gaussian-mixture-models/index.qmd

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@@ -162,7 +162,6 @@ plot(chains[["μ[1]", "μ[2]"]]; legend=true)
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From the plots above, we can see that the chains have converged to seemingly different values for the parameters $\mu_1$ and $\mu_2$.
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However, these actually represent the same solution: it does not matter whether we assign $\mu_1$ to the first cluster and $\mu_2$ to the second, or vice versa, since the resulting sum is the same.
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In other words, the posterior distribution is fundamentally multimodal.
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(In principle it is also possible for the parameters to swap places _within_ a single chain, although this does not happen in this example.)
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For more information see the [Stan documentation](https://mc-stan.org/users/documentation/case-studies/identifying_mixture_models.html), or Bishop's book, where the concept of _identifiability_ is discussed.
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