Use Of Cumulative Sums For Detection Of Changepoints In The Rate Parameter Of A Poisson Process
This paper studies the problem of multiple changepoints in rate parameter of a Poisson process. We propose a binary segmentation algorithm in conjunction with a cumulative sums statistic for detection of changepoints such that in each step we need only to test the presence of a simple changepoint. We derive the asymptotic distribution of the proposed statistic, prove its consistency and obtain the limiting distribution of the estimate of the changepoint. A Monte Carlo analysis shows the good performance of the proposed procedure, which is illustrated with a real data example.
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- Pedro Galeano & Daniel Peña & Ruey S. Tsay, 2004. "Outlier Detection In Multivariate Time Series Via Projection Pursuit," Statistics and Econometrics Working Papers ws044211, Universidad Carlos III, Departamento de Estadística y Econometría.
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Statistics and Econometrics Working Papers
ws036313, Universidad Carlos III, Departamento de Estadística y Econometría.
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- Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
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