An Alternative Proof of Minimum Trace Reconciliation /

Minimum trace reconciliation, developed by Wickramasuriya et. al. (2019), is an innovation in the literature of forecast reconciliation. The proof, however, is indirect and not easy to extend to more general situations. This paper provides an alternative proof based on the first-order condition in t...

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Bibliographic Details
Main Author: Ando, Sakai
Other Authors: Narita, Futoshi
Format: Journal
Language:English
Published: Washington, D.C. : International Monetary Fund, 2022.
Series:IMF Working Papers; Working Paper ; No. 2022/136
Subjects:
Online Access:Full text available on IMF
Description
Summary:Minimum trace reconciliation, developed by Wickramasuriya et. al. (2019), is an innovation in the literature of forecast reconciliation. The proof, however, is indirect and not easy to extend to more general situations. This paper provides an alternative proof based on the first-order condition in the space of non-square matrix and argues that it is not only simpler but also can be extended to incorporate more general results on minimum weighted trace reconciliation in Panagiotelis et. al. (2021). Thus, our alternative proof not only has pedagogical value but also connects the results in the literature from a unified perspective.
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Physical Description:1 online resource (12 pages)
Format:Mode of access: Internet
ISSN:1018-5941
Access:Electronic access restricted to authorized BRAC University faculty, staff and students