# Bernstein–von Mises theorem

> theorem that the posterior converges in the infinite-data limit 𝑁≫1 to a multivariate normal distribution centred at the maximum likelihood estimator with covariance 𝑁⁻¹𝐼(𝜃₀)⁻¹ with 𝜃₀ the true population parameter and 𝐼(𝜃₀) the Fisher information

**Wikidata**: [Q4894580](https://www.wikidata.org/wiki/Q4894580)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Bernstein–von_Mises_theorem)  
**Source**: https://4ort.xyz/entity/bernstein-von-mises-theorem