Information Extent and Information Distance

Information extent and information distance are introduced to describe the quantitative aspect of statistical information and gain of information without using prejudices that apply only under special conditions. It is shown that these concepts are closely related to mixing character and mixing distance as defined and discussed in previous papers (Refs. 1, 2, and 5). Several examples are treated to show the use of these concepts and their superiority in some respects over statistical entropy concepts of the conventional type. In a second part graphical illustrations are given to develop an intuitive understanding of partially ordered properties.