Parameter estimation using polynomial chaos and maximum likelihood

DOI10.1080/00207160.2013.809069zbMath1291.62063OpenAlexW2060215689MaRDI QIDQ4979576

Dan Stanescu, Benito M. Chen-Charpentier

Publication date: 23 June 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.809069

zbMATH Keywords

parameter estimationinverse problemsmaximum likelihoodpolynomial chaosbiofilm growth

Mathematics Subject Classification ID

Bayesian inference (62F15) Probabilistic models, generic numerical methods in probability and statistics (65C20) Population dynamics (general) (92D25) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (8)

Bayesian estimation and uncertainty quantification in models of urea hydrolysis byE. colibiofilms ⋮ Sensitivity analysis and variance reduction in a stochastic non-destructive testing problem ⋮ Probabilistic-learning-based stochastic surrogate model from small incomplete datasets for nonlinear dynamical systems ⋮ Parameter estimation for nonlinear systems by using the data filtering and the multi-innovation identification theory ⋮ Polynomial-chaos-based conditional statistics for probabilistic learning with heterogeneous data applied to atomic collisions of helium on graphite substrate ⋮ Compressed Principal Component Analysis of Non-Gaussian Vectors ⋮ Numerical methods and mathematical modelling in biology, medicine and social sciences ⋮ Some results about randomized binary Markov chains: theory, computing and applications

Cites Work

• Biofilm growth on medical implants with randomness
• Random coefficient differential equation models for bacterial growth
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• The Homogeneous Chaos
• Unnamed Item
• Unnamed Item

This page was built for publication: Parameter estimation using polynomial chaos and maximum likelihood