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 language | English (US) |
|---|---|
| Title of host publication | International Encyclopedia of the Social & Behavioral Sciences: Second Edition |
| Publisher | Elsevier Inc. |
| Pages | 16-20 |
| Number of pages | 5 |
| ISBN (Electronic) | 9780080970875 |
| ISBN (Print) | 9780080970868 |
| DOIs | |
| State | Published - Mar 26 2015 |
| Externally published | Yes |
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
- General Social Sciences