I estimated autoregressive model on a time series varibles, by selecting the lag length based on correlogram.

what should be desired properties of the residuals derived from autoregressive model.

is it essential that the residuals should have the properties like

1. normal distribution

2. free from autocorrelation

3. homoscedasticity

4. no multicollinearity between the autoregressive terms used in the model as independent variables.

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