Math is about packing things down into small conceptual boxes that we can upload into our brains. It's not about thousand page books... Don't settle for a partial understanding.
British Mathematician Richard ThomasMy LaTeX-formatted notes covering foundational concepts in mathematics, statistics, and computer science are available on GitHub.
In probability theory, the term i.i.d. condition is loosely stated to describe random variables that are independent of each other and are identically distributed. This is equivalent to saying that there is a joint distribution whose marginals are identical and independent of each other. In an infinite dimensional setting, Daniel-Kolmogorov theorem is invoked to explore the conditions under which such a joint distribution can be established.
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