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by yrmhm 1034 days ago
I'm super curious about this statement. What was profound about the properties of a Cauchy distribution for you? I watched this series of videos: https://www.youtube.com/watch?v=9j398FbirQY&ab_channel=Ellio... and then google practical applications of it. Is it just that you are able to use this approach to map the behavior of something that seems so complex as to be beyond distillation/mapping?
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I first read about the Cauchy distribution in a book titled The Physics of Wall Street by James Owen Weatherall. Before then, I was mostly familiar with the normal distribution. The normal distribution shows variance as contained around mean, median, and mode. The Cauchy distribution can look like a normal distribution but it actually has no mean. What is unsettling is how real world processes or events might seem like a normal distribution, but actually be a Cauchy distribution. Which means a variance you believed to have reasonable bounds would suddenly go haywire.

https://www.itl.nist.gov/div898/handbook/eda/section3/eda366...