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Lindeberg: a new derivation of the normal limit law

Contribution grade

Probability · THEOREM

Reference score255,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved a normal limit theorem under a condition suppressing contributions from large summands.

Scientific scope

The record is Lindeberg's sole-author 1922 German paper. It does not absorb Lyapunov's earlier theorem, Feller's converse refinements, dependent-variable limits or every modern triangular-array formulation.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Lindeberg's sole-author 1922 German paper. It does not absorb Lyapunov's earlier theorem, Feller's converse refinements, dependent-variable limits or every modern triangular-array formulation.

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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