Parameter Redundancy and Identifiability

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος:	Parameter Redundancy and Identifiability
Περιγραφή:	Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter in that model, but, in some cases, this is not possible. For example, two parameters that only ever appear in the model as a product could not be estimated individually; only the product can be estimated. Such a model is said to be parameter redundant, or the parameters are described as non-identifiable. This book explains why parameter redundancy and non-identifiability is a problem and the different methods that can be used for detection, including in a Bayesian context. Key features of this book: Detailed discussion of the problems caused by parameter redundancy and non-identifiability Explanation of the different general methods for detecting parameter redundancy and non-identifiability, including symbolic algebra and numerical methods Chapter on Bayesian identifiability Throughout illustrative examples are used to clearly demonstrate each problem and method. Maple and R code are available for these examples More in-depth focus on the areas of discrete and continuous state-space models and ecological statistics, including methods that have been specifically developed for each of these areas This book is designed to make parameter redundancy and non-identifiability accessible and understandable to a wide audience from masters and PhD students to researchers, from mathematicians and statisticians to practitioners using mathematical or statistical models.
Συγγραφείς:	Diana Cole
Resource Type:	eBook.
Θέματα:	Ecology--Statistical methods, Ecology--Mathematical models, Parameter estimation, Mathematical models
Categories:	MATHEMATICS / Probability & Statistics / General, NATURE / Ecology, SCIENCE / Life Sciences / Ecology
Βάση Δεδομένων:	eBook Index

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Items	– Name: Title Label: Title Group: Ti Data: Parameter Redundancy and Identifiability – Name: Abstract Label: Description Group: Ab Data: Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter in that model, but, in some cases, this is not possible. For example, two parameters that only ever appear in the model as a product could not be estimated individually; only the product can be estimated. Such a model is said to be parameter redundant, or the parameters are described as non-identifiable. This book explains why parameter redundancy and non-identifiability is a problem and the different methods that can be used for detection, including in a Bayesian context. Key features of this book: Detailed discussion of the problems caused by parameter redundancy and non-identifiability Explanation of the different general methods for detecting parameter redundancy and non-identifiability, including symbolic algebra and numerical methods Chapter on Bayesian identifiability Throughout illustrative examples are used to clearly demonstrate each problem and method. Maple and R code are available for these examples More in-depth focus on the areas of discrete and continuous state-space models and ecological statistics, including methods that have been specifically developed for each of these areas This book is designed to make parameter redundancy and non-identifiability accessible and understandable to a wide audience from masters and PhD students to researchers, from mathematicians and statisticians to practitioners using mathematical or statistical models. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Diana+Cole%22">Diana Cole</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ecology--Statistical+methods%22">Ecology--Statistical methods</searchLink><br /><searchLink fieldCode="DE" term="%22Ecology--Mathematical+models%22">Ecology--Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Probability+%26+Statistics+%2F+General%22">MATHEMATICS / Probability & Statistics / General</searchLink><br /><searchLink fieldCode="ZK" term="%22NATURE+%2F+Ecology%22">NATURE / Ecology</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Life+Sciences+%2F+Ecology%22">SCIENCE / Life Sciences / Ecology</searchLink>
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RecordInfo	BibRecord: BibEntity: Classifications: – Code: 519.544 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Ecology--Statistical methods Type: general – SubjectFull: Ecology--Mathematical models Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: Parameter Redundancy and Identifiability Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Diana Cole – PersonEntity: Name: NameFull: Diana Cole IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 – D: 20 M: 05 Type: profile Y: 2021 Identifiers: – Type: isbn-print Value: 9780367493219 – Type: isbn-print Value: 9781498720878 – Type: isbn-electronic Value: 9781351646314 – Type: isbn-electronic Value: 9781498720908 – Type: isbn-electronic Value: 9781315120003 Titles: – TitleFull: Parameter Redundancy and Identifiability Type: main
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