Parametric Model
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High Quality Content by WIKIPEDIA articles! In statistics, a parametric model or parametric family or finite-dimensional model refers to a family of distributions which can be described using a finite number of parameters. These parameters are usually collected together to form a single k-dimensional parameter vector ? = (?1, ?2, ?, ?k). Parametric models are contrasted with the semi-parametric, semi-nonparametric, and non-parametric models, all of which consist of an infinite set of ?parameters? for description. The distinction between these four classes is as follows: in a ?parametric? model...
High Quality Content by WIKIPEDIA articles! In statistics, a parametric model or parametric family or finite-dimensional model refers to a family of distributions which can be described using a finite number of parameters. These parameters are usually collected together to form a single k-dimensional parameter vector ? = (?1, ?2, ?, ?k). Parametric models are contrasted with the semi-parametric, semi-nonparametric, and non-parametric models, all of which consist of an infinite set of ?parameters? for description. The distinction between these four classes is as follows: in a ?parametric? model all the parameters are in finite-dimensional parameter spaces; a model is ?nonparametric? if all the parameters are in infinite-dimensional parameter spaces; a ?semi-parametric? model contains finite-dimensional parameters of interest and infinite-dimensional nuisance parameters; a ?semi-nonparametric? model has both finite-dimensional and infinite-dimensional unknown parameters of interest.
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