On characterizations of the generalized Pareto distributions based on progressively censored order statistics

Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem

Some new characterization properties of the exponential distribution based on two non-adjacent m-generalized order statistics (consequently m dual generalized order statistics), m ̸= −1, coming from two independent exponential distributions are derived. The result of this paper provides a beneficial strategy to predict the failure time of some survived components in a lifetime experiment by using the result of another independent lifetime experiment.