In the last few posts we have talked about how physical models relate to "economical" AR(p) models. Yet our end goal is to about ARFIMA models of which "AR" makes up just about 1/3rd. In this post we introduce you to MA(q) models and show how they combine AR(p) models to make up ARMA(p, q) models.

In the last few posts we have seen that random walk can be written in recursive form, which suggests that random walk is AR(1) process. We have also became familiar with the partial auto-correlation functions. Here in this post we show that PACF can provide an intuition on the order of AR which should be used in modeling the data.

In the last post we have seen that auto-correlation function breaks when try to analyze random walk time series. We have used differencing technique which has allowed us to circumvent non-stationarity of the random walk series.

In the upcoming post in our ARFIMA series we will use another technique known as partial auto-correlation function (abbr., PACF). This new technique is discussed by ritvikmath in the video below. Watch in order to understand the new tool.

In the previous post I have mentioned that in our review we have also presented a novel result, which we have analyzed ARFIMA process. Understanding ARFIMA process requires some specialized knowledge, which we will cover in this and the next few posts.

In this post we will take a well-known physical model, random walk, and try to understand it in the context of economical model, AR(p) process.

For many board games have become a tool to retain their sanity during COVID-19 lockdowns. These games vary in their complexity and the mechanics they use. In this Numberphile video mathematician Ben Sparks uses statistics to develop a strategy how to play game known as "Pass the Pigs". In general this method should work for many other simple "push your luck" style board games.