Mitigating the choice of the duration in DDMS models through a parametric link

Fuente: arXiv
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Autores principales: Mendes, Fernando Henrique de Paula e Silva, Turatti, Douglas Eduardo, Pumi, Guilherme
Formato: Preprint
Publicado: 2023
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author Mendes, Fernando Henrique de Paula e Silva
Turatti, Douglas Eduardo
Pumi, Guilherme
author_facet Mendes, Fernando Henrique de Paula e Silva
Turatti, Douglas Eduardo
Pumi, Guilherme
contents One of the most important hyper-parameters in duration-dependent Markov-switching (DDMS) models is the duration of the hidden states. Because there is currently no procedure for estimating this duration or testing whether a given duration is appropriate for a given data set, an ad hoc duration choice must be heuristically justified. In this paper, we propose and examine a methodology that mitigates the choice of duration in DDMS models when forecasting is the goal. Two Monte Carlo simulations, based on classical applications of DDMS models, are employed to evaluate the methodology. In addition, an empirical investigation is carried out to forecast the volatility of the S\&P 500, which showcases the capabilities of the proposed model.
format Preprint
id arxiv_https___arxiv_org_abs_2307_01405
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Mitigating the choice of the duration in DDMS models through a parametric link
Mendes, Fernando Henrique de Paula e Silva
Turatti, Douglas Eduardo
Pumi, Guilherme
Applications
Statistics Theory
62M10, 62F10, 91B84
One of the most important hyper-parameters in duration-dependent Markov-switching (DDMS) models is the duration of the hidden states. Because there is currently no procedure for estimating this duration or testing whether a given duration is appropriate for a given data set, an ad hoc duration choice must be heuristically justified. In this paper, we propose and examine a methodology that mitigates the choice of duration in DDMS models when forecasting is the goal. Two Monte Carlo simulations, based on classical applications of DDMS models, are employed to evaluate the methodology. In addition, an empirical investigation is carried out to forecast the volatility of the S\&P 500, which showcases the capabilities of the proposed model.
title Mitigating the choice of the duration in DDMS models through a parametric link
topic Applications
Statistics Theory
62M10, 62F10, 91B84
url https://arxiv.org/abs/2307.01405