Integrated quantile functions: properties and applications

In this paper we provide a systematic exposition of basic properties of integrated distribution and quantile functions. We define these transforms in such a way that they characterize any probability distribution on the real line and are Fenchel conjugates of each other. We show that uniform integra...

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Bibliographic Details
Main Authors: Alexander A. Gushchin, Dmitriy A. Borzykh
Format: Article
Language:English
Published: VTeX 2017-12-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/17-VMSTA88