β-Informational Sufficient Partition
Adnan M. Awad · IMA Journal of Mathematical Control and Information · 1988
This paper deals with the construction of a β-sufficient partition of the sample space, in the sense that the relative loss of information induced by the partition is equal to 1 − β. In particular, the case β = 1, i.e. a sufficient partition, is considered. A necessary and sufficient condition for a partition to be sufficient has been derived. Several illustrative examples are given, together with a comparative study of the relative loss of information when three different information measures are used.