About: Generalized functional linear model

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The generalized functional linear model (GFLM) is an extension of the generalized linear model (GLM) that allows one to regress univariate responses of various types (continuous or discrete) on functional predictors, which are mostly random trajectories generated by a square-integrable stochastic processes. Similarly to GLM, a link function relates the expected value of the response variable to a linear predictor, which in case of GFLM is obtained by forming the scalar product of the random predictor function with a smooth parameter function . Functional Linear Regression, Functional Poisson Regression and Functional Binomial Regression, with the important Functional Logistic Regression included, are special cases of GFLM. Applications of GFLM include classification and discrimination of

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rdfs:label	Generalized functional linear model (en)
rdfs:comment	The generalized functional linear model (GFLM) is an extension of the generalized linear model (GLM) that allows one to regress univariate responses of various types (continuous or discrete) on functional predictors, which are mostly random trajectories generated by a square-integrable stochastic processes. Similarly to GLM, a link function relates the expected value of the response variable to a linear predictor, which in case of GFLM is obtained by forming the scalar product of the random predictor function with a smooth parameter function . Functional Linear Regression, Functional Poisson Regression and Functional Binomial Regression, with the important Functional Logistic Regression included, are special cases of GFLM. Applications of GFLM include classification and discrimination of (en)
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dcterms:subject	Generalized linear models
Wikipage page ID	45589823 (xsd:integer)
Wikipage revision ID	975446148 (xsd:integer)
Link from a Wikipage to another Wikipage	Variance function Basis function Bernoulli distribution Probit Estimating equations Generalized additive model Generalized linear model Functional data analysis Cross-validation (statistics) Orthonormality Logit Lp space Stochastic processes Functional additive models Functional principal component analysis B-spline Cauchy–Schwarz inequality Akaike information criterion Exponential family Fourier series Normal distribution Dimensionality reduction Iteratively reweighted least squares Hilbert space Backfitting algorithm Generalized linear models Karhunen–Loève theorem Poisson distribution Newton's method Score (statistics) Smoothing Confidence intervals Square-integrable function Stochastic process Scoring algorithm Quasi-likelihood
Link from a Wikipage to an external page	http://anson.ucdavis.edu/~mueller/data/medfly1000.txt http://anson.ucdavis.edu/~mueller/data/medfly1000.html
sameAs	Generalized functional linear model Generalized functional linear model Generalized functional linear model Generalized functional linear model
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thumbnail	wiki-commons:Special:FilePath/Egg_Laying_Trajectories_of_Medflies.png?width=300
has abstract	The generalized functional linear model (GFLM) is an extension of the generalized linear model (GLM) that allows one to regress univariate responses of various types (continuous or discrete) on functional predictors, which are mostly random trajectories generated by a square-integrable stochastic processes. Similarly to GLM, a link function relates the expected value of the response variable to a linear predictor, which in case of GFLM is obtained by forming the scalar product of the random predictor function with a smooth parameter function . Functional Linear Regression, Functional Poisson Regression and Functional Binomial Regression, with the important Functional Logistic Regression included, are special cases of GFLM. Applications of GFLM include classification and discrimination of stochastic processes and functional data. (en)
prov:wasDerivedFrom	wikipedia-en:Generalized_functional_linear_model?oldid=975446148&ns=0
page length (characters) of wiki page	15751 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Generalized_functional_linear_model
is Link from a Wikipage to another Wikipage of	Functional correlation Functional data analysis Functional regression Functional additive models
is foaf:primaryTopic of	wikipedia-en:Generalized_functional_linear_model

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