Non-asymptotic results for Cornish--Fisher expansions
  We get the computable error bounds for generalized Cornish-Fisher expansions for quantiles of statistics provided that the computable error bounds for Edgeworth-Chebyshev type expansions for distributions of these statistics are known. The results are illustrated by examples. 
V. V. Ulyanov, M. Aoshima, Y. Fujikoshi
math.ST stat.TH