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On The Peña–Box Model

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  • Yu‐Pin Hu
  • Rouh‐Jane Chou

Abstract

. Peña and Box [Journal of Americal Statistical Association (1987) Vol. 82, PP. 836–843] proposed a factor model which aimed to explore the possibility of using lower‐dimensional series to represent or explain an observed higher‐dimensional multiple time series. However, there were no statistics with distribution results with which to build the model. In this paper, we derive a statistical procedure to build the model for stationary and first‐order non‐stationary series. The main idea, conducted by the canonical correlation analysis between present series and non‐present series, is an extension of the concept of the scalar component model proposed by Tiao and Tsay [Journal of the Royal Statistical Society B (1989) Vol. 51, pp. 157–213]. Finally, simulation studies and reanalysis of two real data sets are illustrated.

Suggested Citation

  • Yu‐Pin Hu & Rouh‐Jane Chou, 2004. "On The Peña–Box Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(6), pages 811-830, November.
    • Handle: RePEc:bla:jtsera:v:25:y:2004:i:6:p:811-830
    DOI: 10.1111/j.1467-9892.2004.00381.x
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    References listed on IDEAS

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    1. Tsay, Ruey S, 1989. "Parsimonious Parameterization of Vector Autoregressive Moving Average Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 327-341, July.
    2. Ruey S. Tsay, 1989. "Identifying Multivariate Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 10(4), pages 357-372, July.
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    Cited by:

    1. Ignacio Arbués, 2008. "An Extended Portmanteau Test for VARMA Models With Mixing Nonlinear Constraints," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(5), pages 741-761, September.

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