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Maximum Likelihood Estimation of ARMA Model with Error Processes for Replicated Observations


  • Wing-Keung Wong

    () (National University of Singapore)

  • Robert B. Miller

    (University of Wisconsin-Madison)

  • Keshab Shrestha

    (Concordia University)


In this paper we analyse the repeated time series model where the fundamental component follows a ARMA process. In the model, the error variance as well as the number of repetition are allowed to change over time. It is shown that the model is identified. The maximum likelihood estimator is derived using the Kalman filter technique. The model considered in this paper can be considered as extension of the models considered by Anderson (1978), Azzalini (1981) and Wong and Miller (1990)

Suggested Citation

  • Wing-Keung Wong & Robert B. Miller & Keshab Shrestha, 2002. "Maximum Likelihood Estimation of ARMA Model with Error Processes for Replicated Observations," Departmental Working Papers wp0217, National University of Singapore, Department of Economics.
  • Handle: RePEc:nus:nusewp:wp0217

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    References listed on IDEAS

    1. Meher Manzur & Wing-Keung Wong & Inn-Chau Chee, 1999. "Measuring international competitiveness: experience from East Asia," Applied Economics, Taylor & Francis Journals, vol. 31(11), pages 1383-1391.
    2. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    3. Wong, Wing-Keung & Bian, Guorui, 2005. "Estimating parameters in autoregressive models with asymmetric innovations," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 61-70, January.
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    Cited by:

    1. Wing-keung Wong & Raymond Chan, 2004. "On the estimation of cost of capital and its reliability," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 365-372.
    2. Wing-Keung Wong & Boon-Kiat Chew & Douglas Sikorsk, 2001. "Can the Forecasts Generated from E/P Ratio and Bond Yield be Used to Beat Stock Markets?," Multinational Finance Journal, Multinational Finance Journal, vol. 5(1), pages 59-86, March.

    More about this item


    ARMA model; Kalman filter; maximum likelihood estimation;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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