Revision as of 04:14, 25 December 2018 edit Michael Hardy (talk \| contribs) Administrators 210,577 edits →Definition ← Previous edit		Revision as of 21:14, 14 February 2019 edit undo Michael Hardy (talk \| contribs) Administrators 210,577 edits This section distinguished fastidiously between the meaning of the capital X and that of the lower-case x UNTIL it came to this one line. Now it's consistent. Next edit →
Line 39: If the distribution function <math>F_\mathbf{X}</math> is indexed by another parameter <math>\theta</math> then (with densities appropriately defined) we have: :::::<math>p(p_{X_1~~,X_2~~,\ldots,X_n}(x_1,\ldots,x_n) = \int \prod_{i=1}^n p(p_{X_i}(x_i\mid\theta)\,dP(\theta).</math> These equations show the joint distribution or density characterised as a mixture distribution based on the underlying limiting empirical distribution (or a parameter indexing this distribution).

Exchangeable random variables: Difference between revisions