Statistics Point estimation Concept
Score
Summary
The score is the gradient of the log-likelihood with respect to the parameter. It measures how sensitive the log-likelihood of the observed data is to small changes of the parameter. Under regularity conditions its expectation at the true parameter is zero, and its covariance is the Fisher information. Setting the score equal to zero gives the likelihood equations, whose solutions are candidates for the maximum likelihood estimate.
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| Tag | CP97GRVTQ0 |
|---|---|
| URI | m2://CP97GRVTQ0 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 62F10, 62B10 |
| Same as |
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Used by
- Cramér–Rao bound
- Score test
- Asymptotic normality of the maximum likelihood estimator
- Fisher information
- Estimating equations
- Local asymptotic normality