What is the m a Process?

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The m process, also known as MA(q) is the general finite-order system that is an autoregressive representation of a covariance stationary series. It is a stationary process in the sense that the current conditional expectations is solely a function of the lagged and current unobserved shocks. This is referred to as the partial autocorrelation.

Unlike AR processes and AR processes, the MA(q) process does not have a distinct MA polynomial. There are several MA(q) as well as lag operator polynomials that could be stationary, and have the same asymptotic property.

To ensure that the process is causal It is common to put invertibility restrictions on the MA polynomial. This assures that only past events (not future ones) will be able to predict current events.

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Kris Ryan Quirino
Kris Ryan Quirino

I'm a travel writer, researcher and engineer with two wonderful little kids. When I'm not taking care of my kids. I'm travelling and writing for various blogs online. My passion is renewable energy and I am currently completing a Masters part time in solar systems.

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