RT Generic T1 Use of cumulative sums for detection of changepoints in the rate parameter of a poisson process A1 Galeano, Pedro AB 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. YR 2004 FD 2004-12 LK https://hdl.handle.net/10016/219 UL https://hdl.handle.net/10016/219 LA eng LA eng DS e-Archivo RD 27 jul. 2024