Parameter-based Fisher's information of orthogonal polynomials

Abstract

The Fisher information of the classical orthogonal polynomials with respect to a parameter is introduced, its interest justified and its explicit expression for the Jacobi, Laguerre, Gegenbauer and Grosjean polynomials found.

20 pages

References in corpus (2)

• Quantum properties of classical Fisher information
• Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation