Non-Asymptotic Results for Cornish–Fisher Expansions*


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Resumo

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.

Sobre autores

V. Ulyanov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University and National Research University Higher School of Economics (HSE)

Autor responsável pela correspondência
Email: vulyanov@cs.msu.ru
Rússia, Moscow

M. Aoshima

Institute of Mathematics, University of Tsukuba

Email: vulyanov@cs.msu.ru
Japão, Tsukuba

Y. Fujikoshi

Department of Mathematics, Hiroshima University

Email: vulyanov@cs.msu.ru
Japão, Higashi-Hiroshima

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