Statistical parameter

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A statistical parameter or population parameter is an amount put into the probability distribution of a statistic or a random variable.[1] It can be thought of as a numbered amount of a trait of a statistical population or a statistical model.[2]

A statistical parameter is different from its estimator in that the parameter is a fixed amount, while the value of an estimator changes according to some probability distribution. The notations θ (for the parameter) and θ^ (for the estimator) are often used to clarify this distinction.[3]

References

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  1. Template:Citation.
  2. Everitt, B. S.; Skrondal, A. (2010), The Cambridge Dictionary of Statistics, Cambridge University Press.
  3. Template:Cite web