Estimation: Point and Interval

Roger L. Berger

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In parametric statistical inference, knowledge about a population parameter yields knowledge about the entire population. Thus, methods of estimating population parameters are cornerstones to statistical analysis. Point estimators provide a single value as an estimate of a parameter. Set estimators provide a set of possible values. Set estimators quantify uncertainty about the parameter through the size of the set and the probability of the set covering the parameter. Various methods for deriving point and set estimators and various methods for evaluating estimators are discussed.

Original languageEnglish (US)
Title of host publicationInternational Encyclopedia of the Social & Behavioral Sciences: Second Edition
PublisherElsevier Inc.
Pages16-20
Number of pages5
ISBN (Electronic)9780080970875
ISBN (Print)9780080970868
DOIs
StatePublished - Mar 26 2015
Externally publishedYes

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Keywords

  • Bayes
  • Confidence interval
  • Loss function
  • Maximum likelihood
  • Mean squared error
  • Method of moments
  • Posterior
  • Prediction interval
  • Prior
  • Risk function
  • Tolerance interval

ASJC Scopus subject areas

  • Social Sciences(all)

Cite this

Berger, R. L. (2015). Estimation: Point and Interval. In International Encyclopedia of the Social & Behavioral Sciences: Second Edition (pp. 16-20). Elsevier Inc.. https://doi.org/10.1016/B978-0-08-097086-8.42026-X