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your answer is hidden in the self organized criticality (SOC) concept. there is many model that have applied in many branch of science that obey SOC. this concept for the first time was introduced by Bak et al with "Abelian Sand pile model". this model is the simplest model can receive to critical state (showing power law and infinite temporal-spatial ...

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The normal distribution has a very important special role in stochastics. One can prove mathematically that the distribution of the sum of many independent statistical processes is almost always a normal distribution. This is called the "Central Limit Theorem" in mathematics (there are actually several of these) and you can test it very easily yourself with ...

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The gaussian normal distribution is a good guess when you don't know anything else, due to the Law of Large Numbers. If you know more about the process that generates the measurements, then you can choose another distribution. For example, if there is a lower bound on measurements, (for example: concentrations of a chemical compound in blood plasma cannot ...

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