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Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous Poisson Process

Lawrence M. Leemis

Management Science · 1991 · Volume 37 · Issue 7

DOI: 10.1287/mnsc.37.7.886

Abstract

A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations is developed. This technique does not require any arbitrary parameters from the modeler, and the estimated cumulative intensity function can be used to generate a point process for Monte Carlo simulation by inversion. Three examples are given.

Keywords

nonstationary Poisson process, repairable systems, time-dependent arrivals, simulation, variate generation

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