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Original Articles

Partial and inverse autocorrelations in portmanteau-type tests for time series

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Pages 971-986 | Received 01 May 1998, Published online: 27 Jun 2007

Bibliography

  • Anderson , O. D. 1993 . Exact general-lag serial correlation moments and approximate low-lag partial correlation moments for normal white noise . Journal of Time Series Analysis , 14 : 551 – 574 .
  • Anderson , O. D. and Chen , Z.-G. 1996 . Higher order moments of sample autocovariances and sample autocorrelations from an independent time series . Journal of Time Series Analysis , 17 : 323 – 331 .
  • Battaglia , F. 1988 . On the estimation of the inverse correlation function . Journal of Time Series Analysis , 4 : 79 – 87 .
  • Battaglia , F. 1990 . Approximate power of portmanteau tests for time series . Statistics & Probability Letters , 9 : 337 – 341 .
  • Beasley , J. D. and Springer , S. G. 1977 . The percentage points of the normal distribution . Applied Statistics , 26 : 118 – 121 .
  • Bhansali , R. J. 1980 . Autoregressive and window estimates of the inverse correlation function . Biometrika , 67 : 551 – 566 .
  • Box , G. E. P. and Pierce , D. A. 1970 . Distribution of residual autocorrelations in autoregressive-integrated moving average time series models . Journal of the American Statistical Association , 65 : 1509 – 1526 .
  • Cleveland , W. S. 1972 . The inverse autocorrelations of a time series and their applications . Technometrics , 14 : 277 – 298 .
  • Dufour , J. M. and Roy , R. 1986 . Generalized portmanteau statistics and tests of randomness . Communications in Statistics - Theory and Methods , 15 ( 10 ) : 2953 – 2972 .
  • Golder , E. R. and Settle , J. G. 1976 . The Box-Müller method for generating pseudo-random normal deviates . Applied Statistics , 25 : 12 – 20 .
  • Kanto , A. J. 1984 . A characterization of the inverse autocorrelation function . Communications in Statistics - Theory and Methods , 13 ( 20 ) : 2503 – 2510 .
  • Kwan , A. C. C. and Wu , Y. 1996 . A comparative study of the finite-sample distribution of some portmanteau tests for univariate time series models . Communications in Statistics - Simulation and Computation , 25 ( 4 ) : 867 – 904 .
  • Kwan , A. C. C. and Wu , Y. 1997 . Further results on the finite-sample distribution of Monti portmanteau test for the adequacy of an ARMA(p, q) model . Biometrika , 84 : 733 – 736 .
  • Ljung , G. M. 1986 . Diagnostic testing of univariate time series models . Biometrika , 73 : 725 – 730 .
  • Ljung , G. M. and Box , G. E. P. 1978 . On a measure of lack of fit in time series models . Biometrika , 65 : 297 – 303 .
  • Monti , A. C. 1994 . A proposal for a residual autocorrelation test in linear models . Biometrika , 81 : 776 – 780 .
  • Pukkila , T. M. 1984 . On the distributions of the differences between the estimated autocorrelations and partial autocorrelations at the same lag . Communications in Statistics - Simulation and Computation , 13 ( 4 ) : 463 – 488 .
  • Subba Rao , T. and Gabr , M. M. 1989 . The estimation of spectrum, inverse spectrum and inverse autocovariances of a stationary time series . Journal of Time Series Analysis , 10 : 183 – 202 .
  • Wichmann , B. A. and Hill , I. D. 1982 . An efficient and portable pseudo-random number generator . Applied Statistics , 31 : 188 – 190 .

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