Characterizations based on measure of inaccuracy for truncated random variables

In recent years, different authors have shown interest to study Kerridge inaccuracy measure for truncated distributions. In the present communication, we provide characterizations of quite a few continuous and discrete distributions based on past inaccuracy measure. We introduce the concept of interval inaccuracy measure for two-sided truncated random variables. This measure may help the information theorists and reliability analysts to study the various characteristics of a system/component when it fails between two time points. Various aspects of interval inaccuracy measure have been discussed and some characterization results have been provided.