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On the isotonic change-point problem

This work provides a new nonparametric test with a flavour of the classical Mann–Whitney test for the isotonic change-point problem on correlated data with short-range dependence. The test statistic has a normal null limiting distribution and asymptotic test power 1 under the local alternative. Numerical study indicates that it has a similar or slightly better performance than the oracle form of the existing tests on independent data and works very well on moderate-sized correlated data where the existing tests usually fail. Its application to the global temperature data is presented.