Determining the parametric structure of models

DOI10.1016/j.mbs.2010.08.004zbMath1202.62150OpenAlexW2149396711WikidataQ37783643 ScholiaQ37783643MaRDI QIDQ608874

Byron J. T. Morgan, Michael D. Titterington, Diana J. Cole

Publication date: 26 November 2010

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2010.08.004

zbMATH Keywords

derivative matrixJacobian matrixglobal identifiabilityparameter redundancylocal identifiabilityexhaustive summaries

Mathematics Subject Classification ID

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Cites Work

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• On the investigation of local identifiability: A counterexample
• Similarity transformation approach to identifiability analysis of nonlinear compartmental models
• Unidentifiable compartmental models: What to do?
• Software for solving identification and identifiability problems, e.g. in compartmental systems
• System identifiability based on the power series expansion of the solution
• A procedure for generating locally identifiable reparametrisations of unidentifiable nonlinear systems by the similarity transformation approach
• Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems
• Global approaches to identifiability testing for linear and nonlinear state space models
• Age-dependent tag return models for estimating fishing mortality, natural mortality, and selectivity
• A note on determining parameter redundancy in age-dependent tag return models for estimating fishing mortality, natural mortality and selectivity
• Deficiency of parameter-redundant models
• Parameter redundancy with covariates
• On the Near-Singularity of Models for Animal Recovery Data
• Local identifiability of linear systems in a general input-output configuration
• Matrix Analysis
• Asymptotic Theory of Overparameterized Structural Models
• Relations between the main approaches to linear system identifiability: application to calculation of jacobian matrices determinants
• Identifiability of linear and nonlinear dynamical systems
• Identifiability of dynamic systems
• Miscellanea. Estimation in parameter-redundant models
• Detecting parameter redundancy
• Identifiability, Improper Priors, and Gibbs Sampling for Generalized Linear Models
• Latent Class Model Diagnosis
• Exploratory latent structure analysis using both identifiable and unidentifiable models
• Parameter Redundancy in Multistate Capture‐Recapture Models
• Solving problems in parameter redundancy using computer algebra
• Restrictions on the Reduced Form and the Rank and Order Conditions
• Explicit estimates from capture-recapture data with both death and immigration-stochastic model
• A note on the multiple-recapture census
• Estimates of survival from the sighting of marked animals
• Quadratic Forms and Idempotent Matrices with Random Elements
• Identification in Parametric Models
• Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences

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