What is the m a Process?

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M a processThe m a process, which is referred to as MA(q) is the general finite-order process that is an autoregressive representation of a stationary series. It is stationary in the sense that current conditional expectations are solely dependent on a function of current and lagged shocks. This function is the partial autocorrelation function.

The MA(q) does not possess a unique MA polynomial like AR processes. There are many MA(q), lag operator polynomials that may be stationary, and have the same asymptotic properties.

It is therefore conventional to impose invertibility limitations on the MA polynomial to guarantee that the process is causal. This https://oneonlineco.com/step-by-step-guide-to-choosing-a-virtual-data-room-in-2024/ ensures that events from the past (and not future ones) are the only ones that can be predicted by the current events.