Solving the 100 Swiss Francs Problem

TL;DR

This paper confirms a conjecture related to maximum likelihood estimation in a specific latent class model, addressing a problem posed by Sturmfels in 2005, and providing a definitive solution.

Contribution

It provides a proof confirming Sturmfels' 2005 conjecture on a particular case of maximum likelihood estimation in latent class models.

Findings

Conjecture by Sturmfels is positively confirmed.

Provides a mathematical proof for the specific case.

Addresses a longstanding open problem in algebraic statistics.

Abstract

Sturmfels offered 100 Swiss Francs in 2005 to a conjecture, which deals with a special case of the maximum likelihood estimation for a latent class model. This paper confirms the conjecture positively.