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De Moivre: normal approximation to the binomial

Contribution grade

Probability · THEOREM

Reference score260,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Derived the normal-shaped approximation for symmetric binomial terms and sums.

Scientific scope

The record is de Moivre's privately circulated 1733 pamphlet and its binomial approximation. It does not absorb Laplace's later generalization, every form of the central limit theorem or later error bounds.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is de Moivre's privately circulated 1733 pamphlet and its binomial approximation. It does not absorb Laplace's later generalization, every form of the central limit theorem or later error bounds.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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