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Why minimize the variance?

This article explores the reasons why minimizing variance is important in energy distributions, focusing on the standard derivation and alternative derivation methods. It also examines the assumption of Gaussian deviations and investigates the local energy distribution of a helium trimer.

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Why minimize the variance?

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  1. Why minimize the variance? Bressanini et. Al. JCP 116, 5345 (2002) Why not these? Or others? Why sometimes optimization goes bad?

  2. Standard derivation: Integrals (continuous) • Need to assume gaussian deviations Alternative derivation: Fitting process (discrete) Maximize probability (Maximum likelyhood estimator)

  3. Is the local energy distribution really gaussian? NO

  4. Helium trimer

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