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Introducing cumulative distribution function to Probability.v #1260

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Yosuke-Ito-345 opened this issue Jul 14, 2024 · 0 comments
Open

Introducing cumulative distribution function to Probability.v #1260

Yosuke-Ito-345 opened this issue Jul 14, 2024 · 0 comments
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enhancement ✨ This issue/PR is about adding new features enhancing the library

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@Yosuke-Ito-345
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I am formalizing the cumulative distribution function and related lemmas in Probability.v.
A possible candidate for the definition is:

Definition cdf d (T : measurableType d) (R : realType) (P : probability T R)
  (X : {RV P >-> R}) (r : R) := distribution P X (`]-oo, r]).

If anybody is trying the same thing, please let me know to avoid duplicate work.
Since I am new to MathComp-Analysis, any advice is welcome.

@affeldt-aist affeldt-aist added the enhancement ✨ This issue/PR is about adding new features enhancing the library label Jul 25, 2024
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