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Article

Title: On residual analysis for time series models (English)
Author: Anděl, Jiří
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 33
Issue: 2
Year: 1997
Pages: 161-170
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Category: math
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MSC: 62E20
MSC: 62M10
MSC: 90A20
idZBL: Zbl 0903.62070
idMR: MR1454276
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Date available: 2009-09-24T19:07:54Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124305
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Reference: [1] G. E. P. Box, G. M. Jenkins: Models for Prediction and Control.Holden Day, New York 1970. MR 0272138
Reference: [2] G. E. P. Box, D. A. Pierce: Distribution of residual autocorrelations in autoregressive-integrated moving average time series models.J. Amer. Statist. Assoc. 65 (1970), 1509-1526. Zbl 0224.62041, MR 0273762
Reference: [3] H. Cramer: Mathematical Methods of Statistics.Princeton Univ. Press, Princeton 1946. Zbl 0063.01014, MR 0016588
Reference: [4] N. Davies C. M. Triggs, P. Newbold: Significance of the Box-Pierce portmanteau statistics in finite samples.Biometrika 64 (1977), 517-522. MR 0494753
Reference: [5] A. C. Harvey: Time Series Models.Harvester Wheatsheaf, New York 1993. Zbl 0878.62061, MR 1230848
Reference: [6] J. R. M. Hosking, N. Ravishanker: Approximate simultaneous significance intervals for residual autocorrelations of autoregressive moving-average time series models.J. Time Ser. Anal. 14 (1993), 19-26. Zbl 0825.62689, MR 1212260
Reference: [7] M. G. Kendall, A. Stuart: The Advanced Theory of Statistics. Vol. I: Distribution Theory.Griffin, London 1969.
Reference: [8] A. J. Lawrance, P. A. W. Lewis: Higher-order residual analysis for nonlinear time series with autoregressive correlation structure.Internat. Statist. Rev. 55 (1987); 21-35. MR 0962939
Reference: [9] A. J. Lawrance, P. A. W. Lewis: Reversed residuals in autoregressive time series analysis.J. Time Ser. Anal. 13 (1992), 253-266. Zbl 0850.62670, MR 1168167
Reference: [10] G. M. Ljung, G. E. P. Box: On a measure of lack of fit in time series models.Biometrika 65 (1978), 297-303. Zbl 0386.62079
Reference: [11] E. McKenzie: Product autoregression: a time series characterization of the gamma distribution.J. Appl. Probab. 19 (1982), 463-468. Zbl 0491.60034, MR 0649988
Reference: [12] A. I. McLeod: On the distribution of residual autocorrelations in Box-Jenkins models.J. Roy. Statist. Soc. Ser. B 40 (1978), 296-302. Zbl 0407.62065, MR 0522212
Reference: [13] A. I. McLeod, W. K. Li: Diagnostic checking ARMA time series models using squared-residual autocorrelations.J. Time Ser. Anal. 4 (1983), 269-273. Zbl 0536.62067, MR 0738587
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