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A mixture autoregressive model based on Gaussian and Student's $t$-distributions

Savi Virolainen

arXiv 11 Mar 2020 · Econometrics · publishedStudies in Nonlinear Dynamics and Econometrics (2021) · 5 citations (OpenAlex)

arXiv:2003.05221 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We introduce a new mixture autoregressive model which combines Gaussian and Student's $t$ mixture components. The model has very attractive properties analogous to the Gaussian and Student's $t$ mixture autoregressive models, but it is more flexible as it enables to model series which consist of both conditionally homoscedastic Gaussian regimes and conditionally heteroscedastic Student's $t$ regimes. The usefulness of our model is demonstrated in an empirical application to the monthly U.S. interest rate spread between the 3-month Treasury bill rate and the effective federal funds rate.

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32
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Kalliovirta, L (2012) Misspecification tests based on quantile residuals1.000193100%
2Virolainen, S (2020) uGMAR: Estimate Univariate Gaussian or Student's $t$ Mixture Autoregressive Model self0.9285580%
3Meitz, M., Preve, D., and Saikkonen, P (2018) A mixture autoregressive model based on student's $t$-distribution0.90916775%
4Dorsey, R. and Mayer, W (1995) Genetic algorithms for estimation problems with multiple optima, nondifferentiability, and other irregular features0.8947371%
5Kalliovirta, L., Meitz, M., and Saikkonen, P (2015) A gaussian mixture autoregressive model for univariate time series0.88513669%
6Sarno, L. and Thornton, D (2003) The dynamic relationship between the federal funds rate and the treasury bill rate: An empirical investigation0.87482100%
7Meitz, M., Preve, D., and Saikkonen, P (2018) StMAR Toolbox: A MATLAB Toolbox for Student's t Mixture Autoregressive Models0.84333100%
8Wong, C. and Li, W (2001) On logistic mixture autoregressive model0.64422100%
9Wong, C. and Li, W (2000) On mixture autoregressive model0.64422100%
10Wong, C. and Li, W (2001) On a mixture autoregressive conditional heteroskedastic model0.64422100%

Showing the top 10 of 32 scored citations.