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Rearranging Edgeworth-Cornish-Fisher Expansions

Abstract : This paper applies a regularization procedure called increasing rearrangement to monotonize Edgeworth and Cornish-Fisher expansions and any other related approximations of distribution and quantile functions of sample statistics. Besides satisfying the logical monotonicity, required of distribution and quantile functions, the procedure often delivers strikingly better approximations to the distribution and quantile functions of the sample mean than the original Edgeworth-Cornish-Fisher expansions.
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Submitted on : Thursday, February 24, 2022 - 4:48:21 PM
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Victor Chernozhukov, Ivan Fernandez-Val, Alfred Galichon. Rearranging Edgeworth-Cornish-Fisher Expansions. Economic Theory, Springer Verlag, 2010, 42 (2), pp.419 - 435. ⟨10.1007/s00199-008-0431-z⟩. ⟨hal-03588300⟩

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