A REPARAMETRISED AUTOREGRESSIVE MODEL FOR MODELLING GROSS DOMESTIC PRODUCT
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This paper is used to propose a reparametrised autoregressive model that
is capable of analyzing time series data that follows a non-Gaussian marginal
distribution. The Anderson Darling Statistics was used to identify that Nigerian
Gross domestic product followed a Gamma distribution. The proposed Gamma
autoregressive (GAR) and classical autoregressive models were fitted using a
Maximum Likelihood Estimation (MLE) method. The Akaike Information Criteria
(AIC) was used to select AR(2) and GAR(2) as the optimal models but GAR(2) was
chosen because it has the least value of AIC. The comparison between AR(2) and
GAR(2) models based on the values of Mean absolute error (MAE), Mean absolute
prediction error (MAPE) and Root mean square error (RMSE) indicted that GAR(2)
will yield a more accurate forecast than AR(2). In essence, GAR model is a viable
alternative and better model for analyzing GDP growth rate.
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QA Mathematics