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IMA Journal of Mathematical Control and Information 1988 5(1):1-10; doi:10.1093/imamci/5.1.1
© 1988 by Institute of Mathematics and its Applications
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ß-Informational Sufficient Partition

ADNAN M. AWAD

Department of Mathematics, University of Jordan Amman – Jordan

This paper deals with the construction of a ß-sufficient partition of the sample space, in the sense that the relative loss of information induced by the partition is equal to 1 – ß. In particular, the case ß = 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.


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