Time series properties of the class of generalized first order autoregressive processes with moving average errors
Shitan, Mahendran and Shelton, Peiris (2011) Time series properties of the class of generalized first order autoregressive processes with moving average errors. Communications in Statistics: Theory and Methods, 40 (13). pp. 2259-2275. ISSN 0361-0926
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A new class of time series models known as of order one with first order moving average errors has been introduced in order to reveal some hidden features of certain time series data. The variance and autocovariance of the process is derived in order to study the behaviour of the process. It is shown that in special cases these new results reduce to the standard ARMA results. Estimation of parameters based on the Whittle procedure is discussed. We illustrate the use of this class of model by using two examples
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