Finite mixture model: Prediction of time series data using Bayesian method

Phoong, S. Y. and Phoong, S. W. and Phoong, K. H. (2022) Finite mixture model: Prediction of time series data using Bayesian method. Malaysian Journal of Mathematical Sciences, 16 (2). 175 -184. ISSN 1823-8343, DOI https://doi.org/10.47836/MJMS.16.2.01.

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Official URL: https://doi.org/10.47836/MJMS.16.2.01

Abstract

The aim of this study is to measure the number of components that exhibits from the variables' series. The number of components can be affected by the time series components including trend, seasonal adjustment, and irregular changes. By using a finite mixture model, the number of components can be identifies and thereafter we can formulate a Bayesian regression equation to predict the relationship between exchange rate and international tourism expenditure in Malaysia. Identification of the number of components is an important step to weigh the probability density function for a time series data. The weight of the probability density function is then used for prediction. Besides, a Bayesian method is also used in this study to fit with the finite mixture model due to its consistency characteristic. The Bayesian parameter estimates are close to the predictive distributions because it will integrate the prior distribution with the likelihood function to produce posterior distribution. The results show that there is a two-component normal mixture model exists for the time series data. In addition, a prediction equation is obtained from the analysis. © 2022. All Rights Reserved.

Item Type: Article
Funders: Ministry of Higher Education, Malaysia [Fundamental Research Grants Scheme (FRGS/1/2019/STG06/UPSI/02/2)]
Additional Information: All Open Access, Bronze Open Access
Uncontrolled Keywords: Bayesian method; finite mixture model; likelihood function; posterior distribution; prior distribution
Subjects: H Social Sciences > HB Economic Theory
Divisions: Institute of Advanced Studies
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 12 Jul 2024 02:53
Last Modified: 12 Jul 2024 02:53
URI: http://eprints.um.edu.my/id/eprint/43810

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