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Inferences about the parameters of a time series model with changing variance

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Summary

We consider the problem of making inferences about the parameters of a time series model when there is the possibility of a discrete variance change at an unknown time point. For this we obtain the posterior distributions of the parameters and of the variance ratio.

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References

  • Abraham, B. andG.E.P. Box: Linear models and spurious observations. Appl. Statist.27 (2), 1978, 131–138.

    Article  MathSciNet  MATH  Google Scholar 

  • —: Bayesian Analysis of some outlier problems in time series. Biometrika66, (2), 1979, 229–236.

    Article  MathSciNet  MATH  Google Scholar 

  • Box, G.E.P., andG.M. Jenkins: Time Series Analysis Forecasting and Control. Rev. Ed., San Francisco 1976.

  • Box, G.E.P., andG.C. Tiao: Bayesian Inference in Statistical Analysis. Reading, MA. 1973.

  • —: Intervention analysis with applications to economic and environmental problems. Jour. Amer. Stat. Assoc.70, 1975, 70–79.

    Article  MathSciNet  MATH  Google Scholar 

  • Hinkley, D.V.: Inference in Two-phase Regression. Jour. Amer. Stat. Assoc.66, 1971, 736–743.

    Article  MATH  Google Scholar 

  • Quandt, R. E.: A new approach to estimating switching regressions. Jour. Amer. Stat. Assoc.59, 1972, 214–224.

    MATH  Google Scholar 

  • Wichern, D.W., R.B. Miller, andD.-A. Hsu: Changes of variance in first-order autoregressive time series models-with an application. Appl. Stat.25 (3), 1976, 248–256.

    Article  Google Scholar 

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Abraham, B., Wei, W.W.S. Inferences about the parameters of a time series model with changing variance. Metrika 31, 183–194 (1984). https://doi.org/10.1007/BF01915199

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  • DOI: https://doi.org/10.1007/BF01915199

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