In a previous work, the author showed how linear combinations of the orthogonal components of the Cramer-von Mises statistic could be used to test fit to a fully specified distribution function. In ...

Let $X_{1},X_{2},\ldots ,X_{n}$ be independent random variables. Given the moments $EX_{j}^{s}$ (s = 1, 2,...,m), (j = 1, 2,...,n), the joint distribution function of ...