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Some comments on the inverse problem for thinned renewal processes
Authors:Nicolas Yannaros
Institution:Department of Mathematics , The Royal Institute of Technology , 10044 , Stockholm , Sweden
Abstract:Abstract

The following problem is considered: for which p ∈ (0, 1) and completely monotone functions g is g/p+(1-p)g] completely monotone? This problem is shown to be equivalent to the inverse problem for thinned renewal processes. Some applications to gamma renewal processes are also discussed.
Keywords:point process  thinned point process  renewal process  Cox process  gamma renewal process
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