The distribution of a real random variable is completely determined by its distribution function. Can someone provide a resource for its proof? I haven't been able to found anything related to it.
2026-03-25 04:35:36.1774413336
Cumulative distribution function determines distribution of random variable
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Cumulative distribution is the integral of the the distribution function. The integral and the function itself always have a 1-1 correspondence, except for constants. However, you know that the total integral must be 1.