Dual generalized order statistics with moments properties using powered inverse Rayleigh distribution

Abstract

The basic concept of ordered random variables is how the ordering is being done for a model. Dual generalized order statistics (dgos) is one of them. The powered inverse Rayleigh distribution is introduced in this research investigation to analyze the moments’ properties based on dgos. This introduced distribution was coined by Nashaat [1]. The characterization findings based on the recurrence relations and conditional moments are also derived. In addition, some statistical calculations are performed.

Subject Classification:

• 62G30
• 62E10
• 60E05

Keywords:

• Power inverse Rayleigh distribution
• Dual generalized order statistics
• Characterization