Cumulative Measure of Inaccuracy and Mutual Information in k-th Lower Record Values

Maryam Eskandarzadeh, Antonio Di Crescenzo, Saeid Tahmasebi
2019 Mathematics  
In this paper, we discuss the cumulative measure of inaccuracy in k-lower record values and study characterization results of dynamic cumulative inaccuracy. We also present some properties of the proposed measures, and the empirical cumulative measure of inaccuracy in k-lower record values. We prove a central limit theorem for the empirical cumulative measure of inaccuracy under exponentially distributed populations. Finally, we analyze the mutual information for measuring the degree of
more » ... e degree of dependency between lower record values, and we show that it is distribution-free.
doi:10.3390/math7020175 fatcat:j5chur7bwvcizhevi6wpi67aeq