Author

• Mahdi Tavangar

Abstract

The dual generalized order statistics is a unified model which
contains the well known decreasingly ordered random data such as (reversed
ordered) order statistics and lower record values. In the present
paper, some characterization results on the power function distribution
based on the properties of dual generalized order statistics are provided.
The results are proved without any restriction on the parameters of the
model of dual GOS.

Keywords

• Generalized Pareto distributions
• lower Pfeifer records
• lower record values
• mean inactivity time function
• Order statistics