Non-homogeneously paced random records and associated external processes
Gaver, Donald P.
Jacobs, Patricia A.
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A study is made of the extremal process generated by i.i.d. random variables appearing at the events of a non-homogeneous Poisson process, ℘'. If ℘' has an exponentially increasing rate function, then records eventually occur in a homogeneous Poisson process. The size of the latest record has a classical extreme value distribution.