论文信息 - On the finite-sample distribution of modified portmanteau tests for randomness of a Gaussian time series

On the finite-sample distribution of modified portmanteau tests for randomness of a Gaussian time series

This paper proposes three modified portmanteau tests based on the applications of the Fisher (1921) and Hotelling (1953) transformations to sample autocorrelations. The test statistics are asymptotically chi-square. Our simulation results indicate that the empirical significance levels of the proposed tests are more reliable than the portmanteau tests of Box & Pierce (1970), Ljung & Box (1978) and Dufour & Roy (1986) when the sample size is small (15 ≤ n ≤ 40) and the number of sample autocorrelations is large (m ≥ 7).

Andy C. C. Kwan | Ah Boon Sim | A. Sim | A. Kwan

[1] G. Box,et al. Distribution of Residual Autocorrelations in Autoregressive-Integrated Moving Average Time Series Models , 1970 .

[2] G. Box,et al. On a measure of lack of fit in time series models , 1978 .

[3] M. Kendall,et al. The advanced theory of statistics , 1945 .

[4] G. Ljung,et al. Diagnostic testing of univariate time series models , 1986 .

[5] Approximate power of portmanteau tests for time series , 1990 .

[6] C. Chatfield,et al. Box‐Jenkins Seasonal Forecasting: Problems in a Case‐Study , 1973 .

[7] Jean-Marie Dufour,et al. Generalized Portmanteau Statistics and Tests of Randomness , 1985 .

[8] H. Hotelling. New Light on the Correlation Coefficient and its Transforms , 1953 .