A Note on Dispersive Ordering of Record Values

Abstract

It is proved that the successive record values from a DFR distribution are more dispersed. Because of the connection between record values and the occurrence times of a nonhomogeneous Poisson processes (NHPP) it proves that when the intensity function of an NHPP is nonincreasina, the successive occurrence times are more dispersed.

Keywords

Failure rate gamma distribution minimal repair proeess nonhomogeneous Poisson process DFR distribution

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