Setting
Let denote a random vector (corresponding to the measurements), taken from a parametrized family of probability density functions or probability mass functions, which depends on the unknown deterministic parameter . The parameter space is partitioned into two disjoint sets and . Let denote the hypothesis that, and let denote the hypothesis that . The binary test of hypotheses is performed using a test function .
meaning that is in force if the measurement and that is in force if the measurement . Note that is a disjoint covering of the measurement space.
Read more about this topic: Uniformly Most Powerful Test
Famous quotes containing the word setting:
“The setting was really perfect for a brisk bubbling murder....”
—Vladimir Nabokov (18991977)
“should some limb of the devil
Destroy the view by cutting down an ash
That shades the road, or setting up a cottage
Planned in a government office, shorten his life,
Manacle his soul upon the Red Sea bottom.”
—William Butler Yeats (18651939)
“We dont arrive at it by standing on one leg or on the first day of our setting outbut though we may jostle one another on the way that is no reason why we should strike or trampleelbowings enough.”
—George Gordon Noel Byron (17881824)