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Identifiability and Parameter Estimation
Author(s) -
Jacquez John A.
Publication year - 1991
Publication title -
journal of parenteral and enteral nutrition
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.935
H-Index - 98
eISSN - 1941-2444
pISSN - 0148-6071
DOI - 10.1177/014860719101500355s
Subject(s) - identifiability , estimation theory , mathematics , measure (data warehouse) , statistics , econometrics , computer science , data mining
In experiments on biological systems one often cannot measure all state variables (compartments). Given a particular experiment of that type, a basic kinetic parameter may have no effect on the observations; such a parameter is an insensible parameter for that experiment. A parameter may influence the observations and not be uniquely determinable; such a parameter is nonidentifiable for that experiment. Only identifiable parameters can be estimated uniquely, by that experiment. I review the basic theory to check identifiability for a nominal value of a parameter (local identifiability), and present some examples of problems that may arise in estimation. ( Journal of Parenteral and Enteral Nutrition 15: 55S‐59S, 1991)