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We designed a completely automated Maple ($\geqslant 15$) worksheet forderiving Edgeworth and Cornish-Fisher expansions as well as the accelerationconstant of the bootstrap bias-corrected and accelerated technique. It is validfor non-parametric or parametric bootstrap, of any (studentized) statisticsthat is -a regular enough- function of the mean of an iid sample of anabsolutely continuous distribution.  This worksheet allowed us to point out one error in the second-orderCornish-Fisher expansion of the studentized mean stated in Theorem 13.5 by DasGupta in [8, p. 194] as well as lay the stress on the influence of the slightchange of the normalizing constant when computing the second-order Edgeworthand Cornish-Fisher expansions of the t-distribution as stated in Theorem 11.4.2by Lehman and Romano in [14, p. 460].  In addition, we successfully applied the worksheet to a complex maximumlikelihood estimator as a first step to derive more accurate confidenceintervals in order to enhance quality controls. The worksheet also featuresexport of Maple results into R code. In addition, we provide R code to plotthese expansions as well as their increasing rearrangements. All thesesupplemental materials are available upon request.

A Sheet of Maple to Compute Second-Order Edgeworth Expansions and  Related Quantities of any Function of the Mean of an iid Sample of an  Absolutely Continuous Distribution