Uncertainty measures and concomitants of generalized order statistics in the Sarmanov family

Abstract

The objective of this work is to examine, in a broad context, the statistical characteristics of the concomitants of generalized order statistics (CGOSs) from the Sarmanov family of bivariate distributions. Additionally, a number of recent information measures for CGOSs based on the Sarmanov and FGM families are investigated with comparisons. These measures include weighted entropy, weighted extropy, past extropy, residual extropy, cumulative residual extropy (CREX), and negative CREX.  In addition, based on CGOSs, the issue of estimating CREX  is investigated using the empirical technique. Finally, numerical examples are conducted to illustrate our theoretical findings.