The Bayesian Estimate of Vector Autoregressive Model Parameters Adopt Informative Prior Information

Authors

  • Haifaa Abdulgawwad Saeed
  • Wasfi Taher Saleh
  • Mahasen Saleh Al-Talib

DOI:

https://doi.org/10.25130/tjps.v22i5.781

Abstract

This research included the bayesian estimate for vector Autoregressive model with rank (p) in addition to statistical tests and predict Bayesian when the random error of model followed generalized multivariate modified Bessel distribution. The prior information about the parameters of model is represented by probability distributions belong to conjugate families. It found that the posterior marginal probability distribution for parameters matrix (Φ) is a Matrix t distribution, The posterior marginal probability distribution of covariance matrix (Σ) is uncommon and the predictive  probability distribution of future observations vector is multivariate t distribution.

 

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Published

2023-01-29

How to Cite

Haifaa Abdulgawwad Saeed, Wasfi Taher Saleh, & Mahasen Saleh Al-Talib. (2023). The Bayesian Estimate of Vector Autoregressive Model Parameters Adopt Informative Prior Information. Tikrit Journal of Pure Science, 22(5), 156–162. https://doi.org/10.25130/tjps.v22i5.781

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