On properties of progressively Type-II censored order statistics arising from dependent and non-identical random variables

In this paper, we study progressively Type-II censored order statistics arising from identical as well as non-identical units under test which are jointly distributed according to an Archimedean copula with completely monotone generator (PCOSDNARCM-II). Density, distribution and joint density functions of PCOSDNARCM-II are all derived. For certain special cases, more explicit expressions are presented. Some interesting recurrence relations and transformational properties are also established. Results established here contain the results by Balakrishnan and Cramer [5] as particular cases. Finally, some examples of PCOSDNARCM-II are also provided.