Robustified Gaussian quasi-BIC for volatility

Fuente: arXiv
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Auteurs principaux: Eguchi, Shoichi, Masuda, Hiroki
Format: Preprint
Publié: 2026
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author Eguchi, Shoichi
Masuda, Hiroki
author_facet Eguchi, Shoichi
Masuda, Hiroki
contents We develop a theoretical foundation for robust model comparison in a class of non-ergodic continuous volatility regression models contaminated by finite-activity jumps. Using the density-power weighting and the Hölder(-inequality)-based normalization of the conventional Gaussian quasi-likelihood function, we propose two Schwarz-type statistics and also establish their model selection consistency with respect to the minimal true parametric volatility coefficient. Numerical experiments are conducted to illustrate our theoretical findings.
format Preprint
id arxiv_https___arxiv_org_abs_2603_29463
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Robustified Gaussian quasi-BIC for volatility
Eguchi, Shoichi
Masuda, Hiroki
Statistics Theory
We develop a theoretical foundation for robust model comparison in a class of non-ergodic continuous volatility regression models contaminated by finite-activity jumps. Using the density-power weighting and the Hölder(-inequality)-based normalization of the conventional Gaussian quasi-likelihood function, we propose two Schwarz-type statistics and also establish their model selection consistency with respect to the minimal true parametric volatility coefficient. Numerical experiments are conducted to illustrate our theoretical findings.
title Robustified Gaussian quasi-BIC for volatility
topic Statistics Theory
url https://arxiv.org/abs/2603.29463