Characterization through distributional properties of dual generalized order statistics

Authors

1 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh 202 002, India

2 Department of Management Sciences, Rider University, Lawrenceville, NJ 08648-3099, USA

Abstract

Distributional properties of two non-adjacent dual generalized order statistics have been used to characterize distributions. Further, one sided contraction and dilation for the dual generalized order statistics are discussed and then the results are deduced for generalized order statistics, order statistics, lower record statistics, upper record statistics and adjacent dual generalized order
statistics.

Keywords