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Exact Statistics and Continued Fractions

Exact Statistics and Continued Fractions

In this paper we investigate an extension to Vuillemin's work on continued fraction arithmetic [Vuillemin 87, Vuillemin 88, Vuillemin 90], that permits it to evaluate the standard statistical distribution functions. By this we mean: the normal distribution, the λ2-distribution, the t-distribution, and, in particular, the F-distribution. The underlying representation of …