A concept indicating that the test is unbiased in the limit. For example, in the case of independent samples from a one-dimensional distribution depending on a parameter , let be the null hypothesis: , and let be the alternative:
The critical set in the -dimensional Euclidean space, is an asymptotically-unbiased test of the hypothesis with level if
is called the asymptotic power function of the test .
Asymptotically-unbiased test. O.V. Shalaevskii (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Asymptotically-unbiased_test&oldid=18499