Characterization through distributional properties of dual generalized order statistics

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

• Order statistics
• Lower record statistics
• Upper record statistics
• Generalized order statistics
• Dual generalized order statistics
• Contraction
• Dilation
• Characterization of distributions
• Generalized exponential
• Generalized Pareto
• Generalized power function
• Gumbel
• Weibull
• Inverse Weibull
• Exponential
• Power function
• Pareto
• Distributions