Variable dimensional problems, where not only the parameters, but also the number of parameters are random variables, pose serious challenge to Bayesians. Although in principle the Reversible Jump ...

Let X1, X2, ⋯, Xn be a sample of a one-dimensional random variable X; let the order statistic T(X1, X2, ⋯, Xn) be defined in such a manner that T(x1, x2, ⋯, xn) = (x(1), x(2), ⋯, x(n)) where x(1) ≤ ...