Statistical parameter

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 $\theta$ (for the parameter) and ${\hat {\theta }}$ (for the estimator) are often used to clarify this distinction.[3]

Related pages

Parameter

References

Kotz, S.; et al., eds. (2006), "Parameter", Encyclopedia of Statistical Sciences, Wiley.
Everitt, B. S.; Skrondal, A. (2010), The Cambridge Dictionary of Statistics, Cambridge University Press.
"List of Probability and Statistics Symbols". Math Vault. 2020-04-26. Retrieved 2020-10-13.

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[ESS06-1] Kotz, S.; et al., eds. (2006), "Parameter", Encyclopedia of Statistical Sciences, Wiley.

[2] Everitt, B. S.; Skrondal, A. (2010), The Cambridge Dictionary of Statistics, Cambridge University Press.

[3] "List of Probability and Statistics Symbols". Math Vault. 2020-04-26. Retrieved 2020-10-13.