information function of a partition

information function of a partition

[‚in·fər′mā·shən ¦fəŋk·shən əv ə pär′tish·ən] (mathematics) If ξ is a finite partition of a probability space, the information function of ξ is a step function whose sets of constancy are the elements of ξ and whose value on an element of ξ is the negative of the logarithm of the probability of this element.