On the numerical accuracy of approximations based on edgeworth expansions
Th. Pfaff, Johann Pfanzagl
Abstract
Th. Pfaff, Johann Pfanzagl
Abstract
Numerical computations are applied to check the accuracy of a general result on the asymptotic expansion of power functions for particular test problems concerning one- and two-dimensional normal distributions. It turns out that the asymptotic expansion renders a remarkable improvement over the normal approximation.
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Numerical computations are applied to check the accuracy of a general result on the asymptotic expansion of power functions for particular test problems concerning one- and two-dimensional normal distributions. It turns out that the asymptotic expansion renders a remarkable improvement over the normal approximation.
Key concepts: Mathematics, Edgeworth series, Asymptotic expansion, Computation, Approximations of π, Applied mathematics, Numerical analysis, Calculus (dental)