An Operator Property of the Distribution of a Nonhomogeneous Poisson Process with Applications

Georgios Psarrakos ()
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Georgios Psarrakos: University of Piraeus

Methodology and Computing in Applied Probability, 2016, vol. 18, issue 4, 1197-1215

Abstract: Abstract A class of integral operators is considered, and a semi-preserving property for the tail distribution of a nonhomogeneous Poisson process is obtained. This new result is applied to the equilibrium and length-biased tail distributions, and some characterization results are studied. Numerical examples are also given to evaluate our results.

Keywords: Nonhomogeneous Poisson process; Hazard function; Integral operator; Equilibrium distribution; Length-biased distribution; Primary 60E05; Secondary 62E10. (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11009-015-9466-3

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