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Modified Poisson Process: Properties and Application in Ruin Model

  • C. Benatmane,
  • H. Zeghdoudi,
  • R. Pakyari

摘要

Abstract

This paper introduce a new version of the non-homogeneous Poisson process (called Poisson New XLindley Process). Some basic mathematics properties are presented in general forms. In addition, a new counting process model is provided. Also, an comparative study with Poisson process is given using continuous time ruin model.