Probabilistic estimation of poles or zeros of functions

DOI10.1016/0021-9045(79)90124-2zbMath0423.65029OpenAlexW1997497293MaRDI QIDQ1134497

F. M. Larkin

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90124-2

zbMATH Keywords

Hilbert spacezerosanalytic functionspolesasymptotic convergencemethod of maximum likelihooda prior localizationimplicit estimation techniquepoles or zeros of functionsweak Gaussian distribution

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (3)

Root-finding by divided differences ⋮ A modern retrospective on probabilistic numerics ⋮ Bayesian Probabilistic Numerical Methods

Cites Work

• Gaussian measure in Hilbert space and applications in numerical analysis
• Measurable Functions on Hilbert Space
• Theory of Reproducing Kernels
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