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---
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layout: definition
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mathjax: true
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author: "Joram Soch"
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affiliation: "BCCN Berlin"
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e_mail: "joram.soch@bccn-berlin.de"
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date: 2024-09-27 12:40:05
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title: "Parameter"
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chapter: "General Theorems"
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section: "Probability theory"
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topic: "Probability distributions"
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definition: "Statistical parameter"
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sources:
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- authors: "Wikipedia"
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year: 2024
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title: "Statistical parameter"
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in: "Wikipedia, the free encyclopedia"
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pages: "retrieved on 2024-09-27"
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url: "https://en.wikipedia.org/wiki/Statistical_parameter#Parameterised_distributions"
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def_id: "D204"
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shortcut: "para"
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username: "JoramSoch"
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---
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**Definition:** A parameter, also "statistical parameter", is any fixed quantity, i.e. [constant](/D/const) scalar, vector or matrix, that describes a parametrized [probability distribution](/D/dist).
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Examples of parameters include the mean and variance parameters of a [normal distribution](/D/norm), covariance parameters in a [multivariate](/D/mvn) or [matrix](/D/matn)-normal distribution, shape and rate parameters of the [gamma distribution](/D/gam) or the vector of category probabilities in a [multinomial distribution](/D/mult).

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