Jensen-Inaccuracy Information Measure

The purpose of the paper is to introduce the Jensen-inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen-inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen-inaccuracy information measures are obtained.

Automated summary

The paper introduces the Jensen-inaccuracy measure and examines its properties. The connections between inaccuracy and Jensen-inaccuracy measures and other well-known information measures are discussed. The study also shows that the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure in three different optimization problems. Additionally, two real examples from image processing are studied and numerical results of the inaccuracy and Jensen-inaccuracy information measures are obtained.