 so that the parameters of the
mixture components are also exchangeable in the likelihood.</p>
<p>We have finessed this basic problem by ordering the parameters. This
will allow us in some cases to pick out mixture components either
ahead of time or after fitting (e.g., male vs. female, or Democrat
vs. Republican).</p>
<p>In other cases, we do not care about the actual identities of the
mixture components and want to consider inferences that are
independent of indexes. For example, we might only be intere