Bayesian Estimate of Parameters for ARMA Model Forecasting

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Zul Amry

2020 Tatra Mountains Mathematical Publications Vol. 75 Issue 1 Article Cited by 2 SDG 14SDG 16 Quartile

Abstract

This paper presents a Bayesian approach to finding the Bayes estimator of parameters for ARMA model forecasting under normal-gamma prior assumption with a quadratic loss function in mathematical expression. Obtaining the conditional posterior predictive density is based on the normal-gamma prior and the conditional predictive density, whereas its marginal conditional posterior predictive density is obtained using the conditional posterior predictive density. Furthermore, the Bayes estimator of parameters is derived from the marginal conditional posterior predictive density. © 2020 Zul Amry, published by Sciendo.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Medan, Jl. Willem Iskandar Pasar V, Medan Estate, 20222, Indonesia

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