2021
DOI: 10.3390/econometrics9030027
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Fisher’s z Distribution-Based Mixture Autoregressive Model

Abstract: We generalize the Gaussian Mixture Autoregressive (GMAR) model to the Fisher’s z Mixture Autoregressive (ZMAR) model for modeling nonlinear time series. The model consists of a mixture of K-component Fisher’s z autoregressive models with the mixing proportions changing over time. This model can capture time series with both heteroskedasticity and multimodal conditional distribution, using Fisher’s z distribution as an innovation in the MAR model. The ZMAR model is classified as nonlinearity in the level (or mo… Show more

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Cited by 6 publications
(2 citation statements)
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“…Since Russia is one of the main suppliers of oil to the world market, oil export revenues make up a significant part of Russian budget revenues [41]. The level of income as one of the most important sources of economic growth will be determined by the global price environment, which is based on the price of Brent oil [42].…”
Section: Methodsmentioning
confidence: 99%
“…Since Russia is one of the main suppliers of oil to the world market, oil export revenues make up a significant part of Russian budget revenues [41]. The level of income as one of the most important sources of economic growth will be determined by the global price environment, which is based on the price of Brent oil [42].…”
Section: Methodsmentioning
confidence: 99%
“…HMC requires the gradient of the ln-posterior's density. In practice, the gradient must be computed analytically [26,27].…”
Section: Hamiltonian Monte Carlo (Hmc)mentioning
confidence: 99%