Modelling extremal events: for insurance and finance
Modelling extremal events: for insurance and finance
Multiple change-point detection of multivariate mean vectors with the Bayesian approach
Computational Statistics & Data Analysis
Detecting change in dynamic fitness landscapes
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
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A general test statistic for detecting change-points in multidimensional stochastic processes with unknown parameters is proposed. The test statistic is specialized to the case of detecting changes in sequences of covariance matrices. Large-sample distributional results are presented for the test statistic under the null hypothesis of no-change. The finite-sample properties of the test statistic are compared with two other test statistics proposed in the literature. Using a binary segmentation procedure, the potential of the various test statistics is investigated in a multidimensional setting both via simulations and the analysis of a real life example. In general, all test statistics become more effective as the dimension increases, avoiding the determination of too many ''incorrect'' change-point locations in a one-dimensional setting.