Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
statistical theorem
|
| gptkbp:appliesTo |
likelihood-ratio tests
|
| gptkbp:assumes |
large sample size
null hypothesis is true regularity conditions hold |
| gptkbp:describes |
asymptotic distribution of likelihood-ratio test statistic
|
| gptkbp:field |
gptkb:mathematics
statistics |
| https://www.w3.org/2000/01/rdf-schema#label |
Wilks' theorem
|
| gptkbp:namedAfter |
gptkb:Samuel_S._Wilks
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematical_Statistics
|
| gptkbp:relatedTo |
gptkb:chi-squared_distribution
likelihood ratio asymptotic theory |
| gptkbp:state |
under regularity conditions, the distribution of the log-likelihood ratio statistic converges to a chi-squared distribution
|
| gptkbp:usedIn |
hypothesis testing
model comparison |
| gptkbp:yearProposed |
1938
|
| gptkbp:bfsParent |
gptkb:Samuel_S._Wilks
|
| gptkbp:bfsLayer |
6
|