(a) Identify each of the models below as a specific ARIMA model. That is, what are p,d, and q, and what are the values o

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(a) Identify each of the models below as a specific ARIMA model. That is, what are p,d, and q, and what are the values o

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A Identify Each Of The Models Below As A Specific Arima Model That Is What Are P D And Q And What Are The Values O 1
A Identify Each Of The Models Below As A Specific Arima Model That Is What Are P D And Q And What Are The Values O 1 (32.48 KiB) Viewed 41 times
(a) Identify each of the models below as a specific ARIMA model. That is, what are p,d, and q, and what are the values of the parameters φ 's and θ 's? (i) Yt​=0.6Yt−1​+0.2Yt−2​+et​. (ii) Yt​=Yt−1​+et​−0.8et−1​. (iii) Yt​=0.4Yt−1​−0.3Yt−2​+0.6et​−0.5et−1​. (iv) (1−B)2Yt​=(1−0.6B)et​. (v) Yt​=15+2Yt−1​−1.3Yt−2​+0.3Yt−3​+et​−0.3et−1​+0.6et−2​ (2 marks each = 10 marks) (b) Describe the important characteristics of the partial autocorrelation function (PACF) for the following models: (i) MA(2), (ii) IMA(2,1), (iii) AR (2), (iv) ARI(1,2), and (v) ARIMA(1,1,2). (5 marks) (c) Write down the mathematical expression representing each of the models for (i) to (v) in (b) above. (10 marks)
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