leanprover-community / leanprover-community/mathlib4

Missing: Sheppard's formula / Gaussian arcsine law `E[sign X · sign Y] = (2/π) arcsin ρ`

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Description

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

No files, tests, or entry points are identified in the issue. Begin by locating existing Gaussian, sign, and arcsine-related results in mathlib; done means the stated Sheppard's formula is formally proved and covered by appropriate checks.

Written by the indexing model from the issue text.

Assessment

Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Quiet
Clarity
Needs clarification
Newbie friendliness
35/100

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