Everything about Identifiability
Statistical property which a model must satisfy to allow precise inference
In statistics, identifiability is a property which a model must satisfy for precise inference to be possible. A model is identifiable if it is theoretically possible to learn the true values of this model's underlying parameters after obtaining an infinite number of observations from it. Mathematically, this is equivalent to saying that different values of the parameters must generate different probability distributions of the observable variables. Usually the model is identifiable only under certain technical restrictions, in which case the set of these requirements is called the identification conditions. Wikipedia →
đź§ Start here: a 6-step reading path
- Read the overview: IdentifiabilityA 5-minute orientation
- Skim a recent paper: Differential Elimination for Dynamical Models via Projections with Applications to Structural IdentifiabilityInfluential work since 2022
- Pick up a classic book: Remote sensing of Earth terrainThe most-reprinted book on the subject
- Read the landmark paper: Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihoodCited 1,482 times
- Go sideways: Variance functionA closely related topic
- Go sideways: Exponential dispersion modelA closely related topic
đź“– Definitions
Noun The quality of being identifiable.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood
Identifiability and Exchangeability for Direct and Indirect Effects
Testing Identifiability and Specification in Instrumental Variable Models
Identifiability at the boundary for first-order terms
On structural identifiability
Helping a Victim or Helping the Victim: Altruism and Identifiability
Indeterminacy and identifiability of blind identification
On global identifiability for arbitrary model parametrizations
🆕 Influential since 2022
Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability
Parameter identifiability and model selection for sigmoid population growth models
Studying speciation and extinction dynamics from phylogenies: addressing identifiability issues
Identifiability in the Behavioral Setting
Bayesian updating and identifiability assessment of nonlinear finite element models
📚 Books worth reading
- 📕Remote sensing of Earth terrainJin Au Kong · 1985
The Bone WomanClea Koff · 2004
ForensicsVal McDermid · 2014- 📕Syntax for the Digital Object IdentifierNational Information Standards Organization (U.S.) · 2000
- 📕Un mythe moderneCarl Gustav Jung · 1961
TinkersPaul Harding · 2008- đź“•KultĂşrák Ă©s narratĂvákKornĂ©lia FaragĂł · 2005
- 📕The DOI handbookInternational DOI Foundation · 2001
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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