Research Article Open Access

Bayesian Models for Time Series with Covariates, Trend, Seasonality, Autoregression and Outliers

Pitsanu Tongkhow1 and Nantachai Kantanantha1
  • 1 Kasetsart University, Thailand
Journal of Computer Science
Volume 9 No. 3, 2013, 291-298

DOI: https://doi.org/10.3844/jcssp.2013.291.298

Submitted On: 28 December 2012 Published On: 16 April 2013

How to Cite: Tongkhow, P. & Kantanantha, N. (2013). Bayesian Models for Time Series with Covariates, Trend, Seasonality, Autoregression and Outliers. Journal of Computer Science, 9(3), 291-298. https://doi.org/10.3844/jcssp.2013.291.298

Abstract

Bayesian methods furnish an attractive approach to time series data analysis. This article proposes the forecasting models that can detect trend, seasonality, auto regression and outliers in time series data related to some covariates. Cumulative Weibull distribution functions for trend, dummy variables for seasonality, binary selections for outliers and latent autoregression for autocorrelated time series data are used for the data analysis. The Gibbs sampling, a Markov Chain Monte Carlo (MCMC) algorithm, is used for the parameter estimation. The proposed models are applied to vegetable price time series data in Thailand. According to the RMSE, MAPE and MAE criteria for model comparisons, the proposed models provide the best results compared to the exponential smoothing models, SARIMA models and the Bayesian models with trend, auto regression and outliers.

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Keywords

  • Bayesian Methods
  • Time Series
  • Cumulative Weibull Distribution
  • Trend
  • Seasonality
  • Outliers