Kendall's advanced theory of statistics
Kendall's advanced theory of statistics
Computer algebra application to the distribution of sample correlation coefficient
Selected papers from the 1996 or 1997 IMACS-ACA conference on Non-standard applications of computer algebra
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A differential form in a formal moment generating function is given by the decomposition of powers in terms of the Hermite polynomials. This paper shows that this differential form for calculating the expectation of normal and @g^2 distributions has the benefit of avoiding divergence for Edgeworth type approximations from the viewpoint of a formal power series ring. A symbolic computational algorithm is also discussed, within the distribution theory of statistics.