Computing expectiles via fixed point iterations

Fuente: arXiv
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Auteurs principaux: Ha, Thi Khanh Linh, Hamel, Andreas Heinrich, Kostner, Daniel
Format: Preprint
Publié: 2025
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author Ha, Thi Khanh Linh
Hamel, Andreas Heinrich
Kostner, Daniel
author_facet Ha, Thi Khanh Linh
Hamel, Andreas Heinrich
Kostner, Daniel
contents Expectiles are statistical parameters which also provide a class of sublinear risk measures in finance. They are solutions of continuous optimization problems. The corresponding first order condition provides two different fixed point characterizations for expectiles, both of which can be utilized for computing them. Although especially the so-called two-sided version is already implemented and widely used, a general convergence proof appears to be new.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00408
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Computing expectiles via fixed point iterations
Ha, Thi Khanh Linh
Hamel, Andreas Heinrich
Kostner, Daniel
Statistics Theory
Probability
90C46, 65K05, 91G70
Expectiles are statistical parameters which also provide a class of sublinear risk measures in finance. They are solutions of continuous optimization problems. The corresponding first order condition provides two different fixed point characterizations for expectiles, both of which can be utilized for computing them. Although especially the so-called two-sided version is already implemented and widely used, a general convergence proof appears to be new.
title Computing expectiles via fixed point iterations
topic Statistics Theory
Probability
90C46, 65K05, 91G70
url https://arxiv.org/abs/2509.00408