Corrigendum to “Surmise relations between tests—mathematical considerations”

Surmise Relations Between Tests - Mathematical Considerations

In 1985, Doignon and Falmagne introduced surmise relations for representing prerequisite relationships between items within a body of information for the assessment of knowledge. Often it is useful to partition such a body of information into sub-collections. As we are primarily interested in psychological applications, we refer to these sub-collections as tests. We extend the concept of surmis...

Ordering Inductive Reasoning Tests for Adaptive Knowledge Assessments An Application of Surmise Relations between Tests

Test Surmise Relations, Test Knowledge Structures, and Their Characterizations

This paper investigates natural, left-, right-, and total-covering test surmise relations on a set of tests partitioning the domain of a knowledge structure. The properties of reflexivity, transitivity, and antisymmetry are examined. In particular, it is shown that the property of antisymmetry is satisfied for the left-, right-, and total-covering test surmise relations when the underlying know...

Corrigendum to: “Probabilistic Distances Between Trees”

Relations between Renyi Distance and Fisher Information

In this paper, we first show that Renyi distance between any member of a parametric family and its perturbations, is proportional to its Fisher information. We, then, prove some relations between the Renyi distance of two distributions and the Fisher information of their exponentially twisted family of densities. Finally, we show that the partial ordering of families induced by Renyi dis...