A386840 Number of fundamental one-dimensional discrete statistical models with rational maximum likelihood estimator supported on n states and of degree 2n-6.

0, 0, 0, 0, 82, 254, 643, 1442

Offset: 1

Author

Carlos Améndola, Aug 05 2025

Keywords

• hard
• nonn
• more

Comments

Unlike A143107 and A143108 (and conjecturally A143109), there are infinitely many polynomials in H(2,d) of degree 2n-6. Nevertheless, this sequence consists of finite numbers.

Links

• C. Améndola, V. Nguyen and J. Oldekop, One-dimensional discrete models of maximum likelihood degree one, arXiv:2507.18686 [math.ST] 2025.
• A. Bik and O. Marigliano, Classifying one-dimensional discrete models with maximum likelihood degree one, Adv. Appl. Math., 170 (2025), 102928.
• J. Lebl and D. Lichtblau, Uniqueness of certain polynomials constant on a hyperplane, Linear Algebra Appl., 433 (2010), no. 4, 824-837

Crossrefs

Cf. A143107, A143108, A143109, A387029, A386841.