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Original Articles

A note on nonlinear regression for the autoregressive moving average with non-hd errors

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Pages 501-513 | Received 01 Jul 1992, Published online: 27 Jun 2007

Bibliography

  • Andrews , D.W.K. 1988 . Law of large numbers for dependent non-identically distributed random variables . Econometric Theory , 4 : 458 – 467 .
  • Brockwell , P.J. and Davis , R.A. 1990 . Time series: Theory and methods , New York : Springer Verlag .
  • Brown , B.M. 1971 . Martingale central limit theorems . Ann. Math. Statist , 42 : 59 – 66 .
  • Davidson , J. 1990 . “ Central limit theorems for nonstationary mixing processes and near-epoch dependent functions, Discussion Paper, No. EM/90/216 ” . In Suntory- Toyota International Centre for Economics and Related Disciplines , London : London School of Economics .
  • Deistler , M. , Dunsmuir , W. and Hannan , E.J. 1978 . Vector linear time series models - corrections and extensions . Adv. Appl. Probab , 10 : 360 – 372 .
  • Dunsmuir , W. and Hannan , E.J. 1976 . Vector linear time aeries models . Adv. AppL Probab , 8 : 339 – 364 .
  • Fuller , W.A. 1976 . Introduction to statistical time series , New York : John Wiley .
  • Gallant , A.R. and White , H. 1988 . A Unified theory of estimation and inference for nonlinear dynamic models , New York : Basil Blackwell Inc .
  • Hannan , E.J. 1973 . The asymptotic theory of linear time-series models . J. Appl Prob , 10 : 130 – 145 .
  • Jennrich , R.I. 1969 . Asymptotic properties of nonlinear least squares estimators . AnnMath. Statist , 40 : 633 – 643 .
  • McLeish . 1975 . A maximal inequality and dependent strong laws . Ann. Probab , 3 : 829 – 839 .
  • Rissanen , J. and Caines , P.E. 1979 . The strong consistency of maximum likelihood estimators for ARMA processes . Ann. Statist , 7 : 297 – 315 .
  • Shin , D. 1990 . “ Estimation for the autoregressive moving average model with a unit root ” . In Unpublished Ph.D. dissertation , Ames, Iowa : Iowa State University .
  • Walker , A. M. 1964 . Asymptotic properties of least squares estimates of parameters of the spectrum of a stationary non-deterministic time series . J. Austral. Math. Soc , 4 : 363 – 384 .
  • Whittle , P. 1962 . Gaussian estimation in stationary time series . Bull. I.S.I , 39 : 105 – 129 .
  • Wu , C.F. 981 . Asymptotic theory of nonlinear least squares estimation . Ann. Statist , 9 : 501 – 513 .

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