This study looks at the distributional characteristics of the family of bivariate distributions called the Cambanis family, indicated by CAM \((\lambda _1,\lambda _2,\lambda _3).\) Besides, the distribution theory of concomitants of \(k-\) record values for this family is investigated. Furthermore, some significant recurrence relations are obtained. In addition, the joint distribution of the concomitants of \(k-\) record values for this family is obtained. Some recent information measures: past extropy, cumulative extropy, weighted extropy, cumulative residual extropy (CREX), and negative cumulative extropy (NCEX) are presented for the concomitants of \(k-\) record values based on CAM \((\lambda _1,\lambda _2,\lambda _3).\) Moreover, the issue of negative CREX (NCREX) estimation is looked at for this family utilizing the empirical approach and \(k-\) record values. Two bivariate real-world datasets have been examined for illustration purposes, and the performance is commendable.
