Generalized Record Values from the Power-Exponential Hazard Rate distribution and Characterizations

Abstract

In this study we derive recurrence relations for the single and product moments of generalized record values ( ) based on the Power-Exponential hazard rate distribution. Additionally, these relations are formulated for the moments of upper record value ( ). Furthermore, the study characterizes this distribution by utilizing recurrence relations for single and product moments, conditional expectation, and truncated moments.

AMS 2020 Subject Classifications:  62G30, 62E10, 60E05.