Abstract

In this paper, a Bayesian method for piecewise regression is adapted to handle counting processes data distributed as Poisson. A numerical code in Mathematica is developed and tested analyzing simulated data. The resulting method is valuable for detecting breaking points in the count rate of time series for Poisson processes.Received: 2 November 2015, Accepted: 27 November 2015; Edited by: R. Dickman; Reviewed by: M. Hutter, Australian National University, Canberra, Australia.; DOI: http://dx.doi.org/10.4279/PIP.070018Cite as: D J R Sevilla, Papers in Physics 7, 070018 (2015)This paper, by D J R Sevilla, is licensed under the Creative Commons Attribution License 3.0.

Highlights

  • Bayesian statistics have revolutionized data analysis [1]

  • The resulting method is valuable for detecting breaking points in the count rate of time series for Poisson processes

  • As the members of the Poisson distributions family are identified by one parameter -the mean rate r of the Poisson process, the PDF of the models

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Summary

Bayesian regression of piecewise homogeneous Poisson processes

A Bayesian method for piecewise regression is adapted to handle counting processes data distributed as Poisson. A numerical code in Mathematica is developed and tested analyzing simulated data. The resulting method is valuable for detecting breaking points in the count rate of time series for Poisson processes

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