Math 2.0

Statistics Interval estimation Concept

Pivotal quantity

Summary

A pivotal quantity is a function of the data and the unknown parameter whose law does not depend on the parameter. It is the standard tool to build a confidence interval: one fixes an interval of probability 1−α1 - \alpha for the pivot and solves for the parameter. Many classical intervals, such as the Student t interval for a normal mean, come from a pivot.

Further reading

  1. Web https://en.wikipedia.org/wiki/Pivotal_quantity
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